Split (1)

test · 300 rows

images listlengths 2 2	problem stringlengths 46 412	answer stringlengths 3 33
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVkAAAD8CAYAAADdVNcyAABDJUlEQVR4nO2deVhUZf/GPwiIIIKgiAQCCoIoLuCa4JJhqZVralqallZu9fqW5k8rNV/NNPPNXDJ3M33V1DRzpcLCDRUXUNlUVBARZRMBheH8/oCBYd9mn+dzXVwXzJwZnjlz5p7n3Od7fx8jSZIkBAKBQKAS6mh6AAKBQKDPCJEVCAQCFSJEViAQCFSIEFmBQCBQIUJkBQKBQIUIkRUIBAIVIkRWIBAIVIgQWYFAIFAhQmQFAoFAhQiRFQgE...	<image><image_1>Use parallelogram ABCD to find $m \angle CDF $ <image><image_2>Point $D$ is the center of the circle. What is $m \angle A B C ?$	43 90
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAX4AAADlCAYAAABUDJzIAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMjAxsCTmFxc4BgQ4ANUwgCjUcG3a0CVQHBZF2TWRJmS68tu+iVtvr82o0rqYCSmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu...	<image><image_1>Find the measure of $\angle 3$. <image><image_2>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 3$ if $m∠1 = 30$.	95 60
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAANEAAACiCAYAAADfjCiAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABGWSURBVHhe7Z2Pb1RVFsf9T0o6MkGCgtQG4wpEliVIgFWjiGsWfyA/zC6wawBd6bIRMIJmgWhrIhpBliZSdjO4EXZpjFXpZotLXYuKCC6uBYtWrZYuUCjM2flO57S3j5npTN/Pc9/5JDfQ1+nMe/fc7znnnnvfm2tIURRXqIgUxSUqIkVxiYpIUVyi...	<image><image_1>Find x. Assume that segments that appear to be tangent are tangent. <image><image_2>Find $m \angle 2$ if $m \widehat{B C}=30$ and $m \widehat{A D}=20$	4 155
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAV8AAAChCAYAAABgWrxcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABuESURBVHhe7Z1tbFTXmcf7cT/t9/3kyDYWiWh5cSxYlhg1YpNgJV6KEpcUtWEDxCQroGIBqYlJRehLQFtAXaArgmrTljZxWhkqYAVkY7ZxWyfNJAyR2WAUJ7ETp7ETE3DBAcP9731m7hkf37l3Xu/MvXfu/ycdJZ4Zj+ee4f7uc57znHO/AkIIIWWH...	<image><image_1>Find x. Assume that any segment that appears to be tangent is tangent. <image><image_2>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.	25 56.9
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAXIAAADwCAYAAAAdK+9uAAABRGlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwA2EoonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzPKNvnxTJODwXuf8/uedhyZZYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW...	<image><image_1>Find x. Round to the nearest tenth. <image><image_2>If RL = 5, RT = 9, and WS = 6, find RW.	37.2 7.5
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAASoAAAFHCAYAAAAWUAGrAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW...	<image><image_1>Find the measure of $\angle AFB$ on $\odot F$ with diameter $\overline{AC} $. <image><image_2>Find x.	108 4 \sqrt { 6 }
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAATwAAAD0CAYAAAAGyZprAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5...	<image><image_1>Find the area of the parallelogram. Round to the nearest tenth if necessary. <image><image_2>Find the area of the parallelogram. Round to the nearest tenth if necessary.	207.8 178.2
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAALEAAAC0CAYAAADb5M12AAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...	<image><image_1>Find the area of the regular polygon figure. Round to the nearest tenth. <image><image_2>A regular pentagon and a square share a mutual vertex $X$. The sides $\overline{X Y}$ and $\overline{X Z}$ are sides of a third regular polygon with a vertex at $X .$ How many sides does this polygon have?	65.0 20
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA7cAAAHBCAYAAACygEz2AAAgAElEQVR4nOzdB5xc1Xk28Gd63Zmd7b1Lq94LkkA0AQYM2AZsg23iEn92XD47X4qDSxIntkkct7iR2MTG2GACBtOrhBAqqPey2t57md7Ld8+ZbRISkgBpd2af/+93kJBWq9mRdO957nnPe1QJBYiIiIiIiIhSmHqqXwARERERERHRu8VwS0RERERERCmP4ZaIiIiIiIhSHsMtERERERERpTyGWyIiIiIiIkp5DLdERERERESU8hhuiYiIiIiI...	<image><image_1>Find $x$ if $\triangle JLM \sim \triangle QST$. <image><image_2>$\triangle WXY \cong \triangle WXZ$. Find $y$.	1.5 4
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAZsAAAEACAYAAABlOdt4AAA7NklEQVR4nO3deVhUdfvH8TcBCYgoICBCCAoo4ooh4q5hPtpiWrm2WGmlPfXTSlvMrMyeykzbXErL3HLJLbc0c1cCFFREElAWQVQEZJFBYZjfHywisgw4wzAz9+u6uq4RzhlujZnPnO9yHxOVSqVCCCGE0KL7dF2AEEIIwydhI4QQQuskbIQQQmidhI0QQgitk7ARQgihdRI2QghRwepVqwgODtZ1GQZFwkYIISqY9cFMrl65ousyDIqEjRBC...	<image><image_1>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26. Find $m\angle ADC$ <image><image_2>Find the measure of $\angle 3$ if $m∠4= m∠5$.	108 116
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVEAAAEDCAYAAACMMDe+AABgDklEQVR4nO2deViUZduHzxFQQcAVEUFABQTEBRX3hUxzyVzfNM01l8olTV+ttDTrtc802zQtl9y13DV3ybBwQ2RRFAXcQUL2RRZheL4/BsZhH2AYBrjP4/A4ZOZ5nrln+8113dcmkyRJQiAQCASlokZFL0AgEAgqM0JEBQKBoAwIERUIBIIyIERUIBAIyoAQUYFAICgDQkQFAoGgDAgRFQgEgjIgRFQgEAjKgBBRgUAgKANCRAUCgaAMCBEV...	<image><image_1>Use parallelogram MNPR to find $x$ <image><image_2>The segment is tangent to the circle. Find $x$.	8 16
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAANsAAADtCAYAAAA2oADwAAAYl0lEQVR4nO3de3xU5Z3H8Q9OQgiEQG5ETMjdhJBwlQAqiFdUqkCh2K6tii7ttrp1t1aoq1Zra1sKrdiq2K2uWnHZVgREu9IKL9dqQCGUi7mRmBuQC2NIIiEkgVzO/jFMGMLMZCbMnOvv/Xr5h2RmeMLJ9znfc55zToYoiqIghAi6S7QegBBWIWETQiUSNiFUImETQiUSNiFUImETQiUSNiFUImETQiUSNiFUImETQiUSNiFUImETQiUSNiFU...	<image><image_1>JKLM is a rectangle. MLPR is a rhombus. $\angle J M K \cong \angle R M P$, $m \angle J M K=55, \text { and } m \angle M R P=70 . Find $m \angle K M L$ <image><image_2>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 8$	35 100
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAlQAAAGqCAYAAADN6NrdAACcGElEQVR4nOz9ZZhcZ5rue/5XMCcHJoiZIcUyM9tlZiwXNOzde++ZM2fOnGuumbkOde/d1d0FdpmZq1xmlsWpFDNLSRGRnMEcaz5ESCbZlpQpJT2/b7aUESsVmbHuWO+z7ldRVVVFCCGEEEKcNc1gH4AQQgghxHAngUoIIYQQop8kUAkhhBBC9JMEKiGEEEKIfpJAJYQQQgjRTxKohBBCCCH6SQKVEEIIIUQ/SaASQgghhOgnCVRCCCGEEP0k...	<image><image_1>Find $m \angle 3$. <image><image_2>Find y.	38 8 \sqrt { 3 }
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAckAAAEACAYAAADY2I0NAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACApSURBVHhe7d3/c1R1nu/x+U+w0pISKi7fpLQcDDUUw4yUZhlKs8xQii4q1FwBrwXMVBHZAmZ3CDUD3JF4vRlrkr1uZmeDdwNzhS1Zi7aGuNXMpR0DS9SgqMRJIIzBkE0CSTiv25/O6dA053SfPumvp5+PqvODTVCETj/5nPM+5/MtAQAAR0QSAAAX...	<image><image_1>Each pair of polygons is similar. Find AC <image><image_2>$\odot P \cong \odot Q$, Find $x$.	7.6 11
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAfsAAAH3CAYAAAC8SfapAAC7i0lEQVR4nOzdZ2Bc5Zn3/++ZXqUZtVGXZcu9dwyudAiQ0BPSgPQekmxvz/N/NtuS7KbspickJCGEDguEbmyMbdx7L+rSjEaakabX838xo5FkDNgqVrs+LzaRIx0fa2fOb+5yXbeiqqqKEEIIISYszWjfgBBCCCFGloS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ...	<image><image_1>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {AG}$. <image><image_2>Refer to the triangle shown below. Find $y$ to the nearest tenth.	55 2 \sqrt { 41 }
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAiQAAAF6CAYAAAApn0NqAAAgAElEQVR4nOy9B3BbZ5bv+UcGiAySAJizKIoiqSxR2ZYsB8k5p54OMz0zO1P7dt7uvt3ard16u1u7r7bqvZp6Ve/tvJnpnn7dbrfbQbZlt21Zki0rZ0qUSDGKOSAQRAaIvPf7SMkKJJWYRJxfGWURBIGLi3vx/e8553+OKCUAgiAIgiCIeUQ83xtAEARBEARBgoQgCIIgiHmHBAlBEARBEPMOCRKCIAiCIOYdEiQEQRAEQcw7JEgIgiAIgph3...	<image><image_1>Find $PN$. <image><image_2>Find $m \angle A B C$ if $m \angle C D A=61$	30 140
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAMoAAAC9CAYAAADyQuLRAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA9kSURBVHhe7Z3/q191Hcf9TxZbiBOxpIL8JX+QoNgY+yGIUoqyjLCIRsEIBMsf2k+xHBKYKGEGYZkUTRrOctVqbjiUNaWUlptaTUSZbILBu/u819fda+/7Oue8zz3v9znvL88fHui959zPveec9+P15f1+fz676n/vvOoIIf1QFEICoCiEBEBRCAmA...	<image><image_1>Find $m\angle 2$ <image><image_2>The diagonals of rhombus FGHJ intersect at K. If $GH = x + 9$ and $JH = 5x - 2$, find $x$.	90 2.75
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA4wAAAD/CAYAAAC6lFhQAAAgAElEQVR4nOzdd3Bc2ZUm+C+9BzLhLeFJ0HvvTTmWU3mVysm1untndrpnZzui/9vdiN2Y2I7o6NkIjbpbLVtVkspIZVROZehN0XsSJOG9N+l9vn33pUGSBAmQRRZA4PuFngBmJRIJMnHznnvPPUclyUBERERERER0HfVkPwEiIiIiIiKamhgwEhERERER0ZgYMBIREREREdGYGDASERERERHRmBgwEhERERER0ZgYMBIREREREdGYGDASERER...	<image><image_1>$\triangle RSV \cong \triangle TVS$. Find $x$. <image><image_2>In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $m \widehat {HJ}$.	12 130
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAFACAYAAACsiIfoAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz...	<image><image_1>Find x. Round to the nearest tenth. <image><image_2>If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$ and $m \angle WZG=20,$ find $m \angle J$	17.4 60
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAeIAAADzCAYAAABaFBUpAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb...	<image><image_1>The ratio of the measures of the angles of the triangle below is 3 : 2 : 1. Which of the following is not an angle measure of the triangle? <image><image_2>Find $G I$ if $G H=9, G K=6,$ and $K J=4$	45 15
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAFxCAYAAABXzS1IAAAgAElEQVR4nOzdB3yV5d0+8OvslZPkZO8ESEISQPZGhohbq6hV696rVqlttUPft2/7b6tVcbYWse4tqKgoKHsIslf23snJztnPGf/nvrNOIoHsdX7fT6mKIYZwzvNczz2uW+IRgRBCCCGE9Il0uL8AQgghhJDRjMIUIYQQQkg/UJgihBBCCOkHClOEEEIIIf1AYYoQQgghpB8oTBFCCCGE9AOFKUIIIYSQfqAwRQghhBDSDxSmCCGEEEL6gcIU...	<image><image_1>Find $AB$. <image><image_2>In the figure, a regular polygon is inscribed in a circle. Find the measure of a central angle.	6.25 60
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAOQAAADTCAYAAACRKL+YAAAcoElEQVR4nO2deXRUdZbHP7ESIRiDJMSAYScEAomAEECghVbcF7ZGR1oQemj7iNCKMyhujYxiq4yigqgN3Qq2cJQGxKVFcRQ00G3CEiQQlqyQCCEmkRiSQKqs+SO8UEmqKrW85ffq/T7neA6SV1WPSn3r3nff/d4b5nQ6nUgkEiG4yOgTkEgkF5CClEgEQgpSIhEIKUiJRCCkICUSgZCClEgEQgpSIhEIKUiJRCCkICUSgZCClEgEQgpSIhEI...	<image><image_1>In rhombus $A B C D, A B=2 x+3$ and $B C=5 x$. Find AD. <image><image_2>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠1$.	5 110
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAZoAAAERCAYAAABCcWF4AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND...	<image><image_1>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 5$ if $m∠1 = 30$. <image><image_2>Each pair of polygons is similar. Find GF	30 7.5
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA1SSURBVHhe7d2PT9T3Hcfx/idH7uBiDVZ+jGhYxdhQM4l1jkxiJZUmraOzRRsDrpGrCdilHKtc04JZaTaYk60F19Nl2IidZ4Ym4MQJDa6l23UDxfVosUhFfvl97fs5vl85rncIeN/vfX+8Hsk31e8dFbh73vf7fX+/B4+BiEyH4RKZEMMlMiGGS2RC...	<image><image_1>$a=14, b=48,$ and $c=50$ find $sinA$ <image><image_2>Find x	0.28 10 \sqrt { 3 }
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAbkAAAGfCAYAAADCoawDAAAgAElEQVR4nOy9BXTbWZrtuy0LLMkyyCQZYjvGOMxUqUoxpCDFXKlqmobpedPrvctv7rsw685ac+eu++b19PT0NBV1MVcqRV0pCoPDYGaUJVu2wEK/8x3JspOKEzNI36+XV1eqEkems/97nw/ihgRgGIZhmChEMdcvgGEYhmFmChY5hmEYJmphkWMYhmGiFhY5hmEYJmphkWMYhmGiFhY5hmEYJmphkWMYhmGiFhY5hmEYJmphkWMYhmGiFhY5...	<image><image_1>Find $m \angle JKL$. <image><image_2>Find $m \widehat {JKL}$.	37 232
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQoAAAEICAYAAACnA7rCAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...	<image><image_1>Find the area of the kite. <image><image_2>Find the area of the figure in feet. Round to the nearest tenth, if necessary.	336 34.6
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAG+CAYAAACedH6uAAAgAElEQVR4nOzdB2Cb1bkG4FfWsLXlPWJn2NmDkMUKBEICGUAClNIChZbu2wGFMssepWUVKNBBB1BKoVBGWAlZJCEJgQyyhx1n2fGekizJkiXf/xwNyyHDCXGi8T63voEMYTvSr/c/5/vOp+pUgIiIiCiBpJzsT4CIiIjoeGPAISIiooTDgENEREQJhwGHiIiIEg4DDhERESUcBhwiIiJKOAw4RERElHAYcIiIiCjhMOAQERFRwmHAISIiooTD...	<image><image_1>Find $x$. <image><image_2>In $\odot F, m \angle D F A=50$ and $\overline{C F} \perp \overline{F B}$. Find $m \widehat{A C E}$	\frac { 97 } { 6 } 230
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPIAAACMCAYAAABGQPQVAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAvySURBVHhe7d3/bxPnAcdx/hNXMVgFpQokjUAIgooQK1GaUTQi1mgqWhFE21JYGyJtpEh8qUrQIJGWIA1Q44qyUWgV2AgSCDVoBM2wwUhQGMlEqAL1WrMmhCyYxOQ+uye+x06CvyWxfc89/ryk5wfO/gFhv7nHd/fczQMROR5DJtIAQybSAEMm0gBD...	<image><image_1>Find x <image><image_2>Find the area of the trapezoid.	8 \sqrt { 3 } 132
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAOEAAADkCAYAAABufkPJAAABRGlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW...	<image><image_1>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth. <image><image_2>If $PR \parallel KL$, KN = 9, LN = 16, PM = 2 KP, find PR	1208.1 \frac { 50 } { 3 }
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAArMAAAGcCAYAAADK9ShlAAAgAElEQVR4nOy9V3Db+ZbndwgSOZAgQTApi2JQ7Hw753xD3zh3xrOenSmPx7V21Zb95vKDa178YPtlX1zrfdjdmbk765qbU3er1bn7dlYnJZISqcwcAILIIAD/vgcARamlbkoCRAD8frpYTUokxQDy//2f3zmf05A3CCGEEEIIITWIZb0/AEIIIYQQQm4UhllCCCGEEFKzMMwSQgghhJCahWGWEEIIIYTULAyzhBBCCCGkZmGYJYQQQgghNQvD...	<image><image_1>Find $m \angle CAD$. <image><image_2>The rectangle is inscribed into the circle. Find the exact circumference of the circle.	44 10 \pi
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPgAAADVCAYAAAB64z3jAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABY0SURBVHhe7Z3/j1XHeYfzn6x1Wa28iNoBExuiqKj+omItspGwbKdyRCkxFsWuVZQ01JTYTkhwsUIco7SqnYKrUqfENlDhJDXCpIEW1zH12i412CLJml0bUsBJ8IpF3Uhv72dh4N3ZOffec+85c+bMfH54xC7n3Lt758wz7zvvzDn7qd9d/EgIIXFC...	<image><image_1>Find x. Assume that segments that appear to be tangent are tangent. <image><image_2>Find $x$.	12 5
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAq0AAAHdCAYAAAA3lkD3AADJOUlEQVR4nOz9d3xd93nn+37W7h17o3eQBMDeSbGJEpskW7LlFsmOHdtJHLckk0wmOVPOvM69d86598ydJJMZzyROYif2OK6J5W7JVWInRVLsnUQjet+9773WOn+sDRCUwA4S7Xm/XjQNioQWIey1vvv3e37Po+i6riOEEEIIIcQMZpruCxBCCCGEEOJuJLQKIYQQQogZT0KrEEIIIYSY8SS0CiGEEEKIGU9CqxBCCCGEmPEktAohhBBCiBlP...	<image><image_1>The diameter of $\odot S$ is $30$ units, the diameter of $\odot R$ is $20$ units, and $DS=9$ units. Find $RC$. <image><image_2>Find the area of the figure. Round to the nearest tenth.	4 28.3
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAfsAAAHTCAYAAAAgdLGJAACy90lEQVR4nOy9d3xkd3X3/77Tm2ZGo1HvXdriuu69gm3AYDsYB3hC8lAS0h+SENJDEsgvjScQEgIkITxAqAbbNBfccV97be+ueu91pOntzv39MaOZ0VZJq67zzmuzeO29OyvN3M/9nvM5n6NomqYhCIIgCMKuRbfVL0AQBEEQhI1FxF4QBEEQdjki9oIgCIKwyxGxFwRBEIRdjoi9IAiCIOxyROwFQRAEYZcjYi8IgiAIuxwRe0EQBEHY5YjY...	<image><image_1>In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $m \widehat {PJ}$. <image><image_2>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the circumference of the circle.	65 17 \pi
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAGnCAYAAABrfFR8AAAgAElEQVR4nOydBXyj15X2H6FJlmTJzDDjYYYMZEINM/ME2qRt2qbc3W77dXdL2223u6WUAg1Dw8yZ0GQmw4weg8wsW7IMIn/3XMHIHnvAJDr//lxDPK8F7/s+95z7nHMUgwIwDMMwDBMWlOF+AAzDMAwTz7AQMwzDMEwYYSFmGIZhmDDCQswwDMMwYYSFmGEYhmHCCAsxwzAMw4QRFmKGYRiGCSMsxAzDMAwTRliIGYZhGCaMsBAzDMMwTBhh...	<image><image_1>Find $x$. <image><image_2>Find $x$.	70 65
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAf4AAAG7CAYAAAAi+vf6AAAgAElEQVR4nOydB3jb53X1D0iQAEFw702KQ3taw/LS8ohHluM4e7VJ0/2kzWgz2vTrSHeaNm2SNk3SxEk8YiexncSWbdmSZcnay9rce29iEACB7z0v8AdJTZIiKZK4vzyIZFIESYz/ufe+955rCiggCIIgCEJEEHWzfwBBEARBEGYPEX5BEARBiCBE+AVBEAQhghDhFwRBEIQIQoRfEARBECIIEX5BEARBiCBE+AVBEAQhghDhFwRBEIQIQoRf...	<image><image_1>$m \angle BAC=38$, $BC=5$, and $DC=5$, find $m \angle DAC$. <image><image_2>JKLM is a rectangle. MLPR is a rhombus. $\angle J M K \cong \angle R M P$, $m \angle J M K=55, \text { and } m \angle M R P=70 . Find $m \angle K L P$	38 160
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAfgAAAHuCAYAAABzpx75AAAgAElEQVR4nOy9B3ij13nn+0cvLGAFSbBzei8aTR+NuqxqWZJly7YkW7Zsx9mbu9fO7rPP3ZvdbHazm8Qpm3sdR7Fsq1lxLFndo16n994LewEIECQIEr3c8x4UYjjDNoMZgsD7sz9hwCExH4HvO//zdkVUAIZhGIZhsgrldJ8AwzAMwzDphwWeYRiGYbIQFniGYRiGyUJY4BmGYRgmC2GBZxiGYZgshAWeYRiGYbIQFniGYRiGyUJY4BmGYRgm...	<image><image_1>In $\odot P$, the radius is $2$ inches, find the length of $\widehat {RS}$. Round to the nearest hundredth. <image><image_2>Find the perimeter of $\triangle W Z X$, if $\triangle W Z X \sim \triangle S R T, S T=6$, $W X=5,$ and the perimeter of $\triangle S R T=15$.	4.54 12.5
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAV8AAAFOCAYAAAAhPx6/AABAb0lEQVR4nO2de1gU593+bwuGgwiCIirI+SQsKghoFIPNz2MaNcHEvJqqseLbpNWkxmKtmlfTRGv0TU2iSdpoXnOqNrHxEJOo0SYaNYngAQU5iYiwqLgKisCycXF/f+DCzOx5d2Zndvb7ua5ezczuDCPM3PM893M/36ebTqfTgSAIgnAqvxD7AgiCINwREl+CIAgRIPElCIIQARJfgiAIESDxJQiCEAESX4IgCBEg8SUIghABEl+CIAgRIPEl...	<image><image_1>Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$. Find $m \angle P S R$ <image><image_2>$\overline{EB} \\| \overline{DC}$. Find $AB$.	72 7.5
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAbMAAADbCAYAAADnPX8EAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAD8GSURBVHhe7Z37dxRVuvf98V3r/Qven+IKkEUWMpkAJy5Bj8jIeInoYQY5KowOhoOOAc8oMIcBjwfWgBcQRRyREQ8wkxkMw4AiggyDIKAgFwNCgEACCSSE3JBLAg3RWd+3nureze7qp7qru6u7q7qfHz4r6Wffqvau2t/aez+165ZrV89BEARBEPyM...	<image><image_1>Quadrilateral ABCD is a rectangle. Find x <image><image_2>Express the ratio of $\cos P$ as a decimal to the nearest hundredth.	12 0.47
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPsAAADyCAYAAACLfbNuAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5...	<image><image_1>Find the area of the shaded sector. Round to the nearest tenth. <image><image_2>Find y. Round to the nearest tenth, if necessary.	1.8 7.4
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAuoAAAGrCAYAAACWi7LyAAAgAElEQVR4nOzdZ3Tc55Um+KeAQqEygEqogEASzDmTkizJkhVsRdttt2xZltqy1OH0zOyendndmQ8zZ8/OzH7Y3t7Tp6fPmdmWLFu2Ww7dclCyrGQrUWLOmQRBAqiEKoSqQqFy7f++BVCJIgEQJKqA5+dTFgkiFFAo4Hnv/7731ZU1ICIiIiKiqlI323eAiIiIiIg+i0GdiIiIiKgKMagTEREREVUhBnUiIiIioirEoE5EREREVIUY1ImIiIiI...	<image><image_1>$Q$ is the centroid and $BE=9$. Find $BQ$. <image><image_2>Find the measure of $\angle CFD$ on $\odot F$ with diameter $\overline{AC} $.	6 123
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAUUAAADGCAYAAABFJ5KfAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz...	<image><image_1>Find x. <image><image_2>Find the perimeter of $\triangle R U W$ if $\triangle R U W \sim \triangle S T V$, $S T=24, V S=12, V T=18$ and $U W=21$	33 \sqrt { 3 } 63
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAWQAAADjCAYAAACy2W70AAABRGlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwAsU5k1MLi5wDAjwAbIZYDQq+HaNgRFEX9YFmbVAbnaWs/RxzxLtqZoM544XY6pHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW...	<image><image_1>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. <image><image_2>Find x. Assume that segments that appear to be tangent are tangent.	44 2
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQcAAAD/CAYAAAD8HRNnAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz...	<image><image_1>Use a Pythagorean Triple to find x. <image><image_2>Find the area of the parallelogram.	70 552
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAfMAAAHDCAYAAAAwdfPmAAAgAElEQVR4nOzdBXzT1xYH8F+Tpk3SJHWjLVRw9+EwZOj25mMweXOcMeZv+iYMHbKN+XiwAXPH3d0datS9TZuk8fe/N2koo0VK0zTp+b7PPm+wkv5pm//533PvOcfLKgBxGvbl9fLyos9PCCHEaUSuvgBCCCGE3BwK5k7GVqWuTH409M9PCCENgRel2euGq7/MFZ/fVSlvV39+SvUTQjwZBXNCCCHEzVGanRBCCHFzFMwJIYQQN0fBnBBCCHFz...	<image><image_1>Find $x$. <image><image_2>Find $m\angle R$	12.5 58
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAOgAAAEECAYAAAAiWHg1AAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz...	<image><image_1>Find x. Round to the nearest hundredth. <image><image_2>What is the area of $▱ ABCD$?	16.64 48
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAUYAAADYCAYAAACXzEp3AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5...	<image><image_1>Find the area of the parallelogram. Round to the nearest tenth if necessary. <image><image_2>Use a calculator to find the measure of $∠J$ to the nearest degree.	180 40
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAMUAAADsCAYAAADEm2IOAAAQx0lEQVR4nO3daXgUVaKH8bdJwhJCgLAZEIwQNkGUKHBnWG5EFAWNLI6OoF4RcUbEFRHnMgKKPg4gXkYRd8LiMgqCcBVEkYkCIiiiBES2AUGMCCQxhBDSdGo+SDLQ2TrdVb1U/X+f0lTRfZKn3z5VfSppl2EYBiJSqkaoByASbhSFiBdFIeJFUYh4URQiXhSFiBdFIeIl4qL48fDxUA9BbC7ionj2/Z2s23oo1MMQG4u4KAB6pW9VGGKZiIwC...	<image><image_1>Find y <image><image_2>Find x.	6 \sqrt { 2 } 4 \sqrt { 2 }
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAkQAAAFBCAYAAACWxbB0AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAC+PSURBVHhe7d3/kxTV/e/x/Bmf37BYoNRCAZGKZRQrFBKhlBCu7sdoElG+6SdBcr1++dyI5ArxKpaXtSLkVjYp2aSy3s8HNEu+QCKf6JrL5ga8LlGUvbL4FXA3wewqbHYX9su8775nunfPNN090zM9Mz19no+qU+JM76DQ3fPqc97nnC8IAACA5QhE...	<image><image_1>Each pair of polygons is similar. Find x <image><image_2>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 4$.	8 50
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAekAAAHLCAYAAADsqmCqAABWc0lEQVR4nO3dZXhcZd4G8PuMT9wa13qTUi+lRksV18V3WVhgWRZY7GWBooXFZZdFFrdFFnept1SoU4k1baONNi7j55z3wySZmSRtpJEzM/fvuvhAaUoIM+ee55znfv6CLMsyiIiISHFUQ/0NEBERUdcY0kRERArFkCYiIlIohjQREZFCMaSJiIgUiiFNRESkUAxpIiIihWJIExERKRRDmoiISKEY0kRERArFkCYiIlIohjQREZFCMaSJiIgU...	<image><image_1>Find $KL$. <image><image_2>Use parallelogram ABCD to find $m\angle DAB$	12 101
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA38AAAFsCAYAAAB8agCTAAAgAElEQVR4nOzdd1CcZ6Iu+KcbuqGhA9BNbJAAISREVg62ki3LlpzzeDw+c2bmeDzn3Dq1oWpra7dqa/ffvVW37j1375lwPNH2eMaWgyTbkm3lnBEIECBEEqkDNJ1z937fB8iWDEhI5H5+VV0gAd0f8NH1Pf2+7/PKogIQERERERHRgiaf7QMgIiIiIiKi6cfwR0REREREFAMY/oiIiIiIiGIAwx8REREREVEMYPgjIiIiIiKKAQx/RERERERE...	<image><image_1>Find $m \angle ABC$. <image><image_2>Find BC	51 4
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAUUAAADuCAYAAACu2BXEAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5...	<image><image_1>Find the area of the parallelogram. Round to the nearest tenth if necessary. <image><image_2>$UJ=9, VJ=3$, and $ZT=18$. Find $SJ$.	528 6
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAl8AAAH4CAYAAAB0TojWAAAgAElEQVR4nOzdV3Sc55kn+H/lQqEKFYBCziAAEsxgjqJIisqyFWzJqe1x7+7MmbnYmw0XO3OxF3u1Z/fMnrNnd0/3jNt2t1u2gmXLyqRIiTmDYARA5JwqonL69nu/AikABJgEFADy/+tTLQMEClUkUN8fz/u8z6uSZCAiIiKijFAv9gMgIiIiepowfBERERFlEMMXERERUQYxfBERERFlEMMXERERUQYxfBERERFlEMMXERERUQYxfBERERFl...	<image><image_1>Find $x$. <image><image_2>Find the measure of $\angle 1$.	30 65
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQkAAAEnCAYAAAC6zrYiAAABRWlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN...	<image><image_1>Find the value of the variable t. <image><image_2>Find $x$ so that the quadrilateral is a parallelogram.	5 4
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAFkCAYAAADynzv4AAAgAElEQVR4nOy9d3SbZ5bm+QAgciRIAMykGERSIpUDFSxZVlmWZcs5V7ntSrNnp3d7pnd3wu4fs33O7PT0ntPTfc7unNnprrLLVWWXy7acbVmyJUdliYqURIo5ggADck773ZeUnJQligR5f3V4SrRAEgAhvM93732eK8tIgGEYhmEYZpqQT/cdYBiGYRhmbsNihGEYhmGYaYXFCMMwDMMw0wqLEYZhGIZhphUWIwzDMAzDTCssRhiGYRiGmVZY...	<image><image_1>Find $AB$. <image><image_2>Find $m \angle 1$ in the figure.	23 113
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQUAAADQCAYAAAAOEnS5AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA3dSURBVHhe7dw/q2VXHcbx+Ap8CQmksslACrvEvICEeQEDsR8CglZjCgubMQjamKTSKpkyTRIsBJUMKAERZ7AQFJlBLAT1YqGFxXF+k/O7PuvMXvusvc/ae/37fmBxxzv3EufudZ699nrWPc8dAEAQCgAChAKAAKEAIEAoAAgQCgAChAKAAKEAIEAo...	<image><image_1>Quadrilateral ABCD is a rhombus. If $AB = 2x + 3$ and $BC = x + 7$, find $CD$. <image><image_2>In the figure, KL is tangent to $\odot M$ at K. Find the value of x.	11 9.45
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAqgAAAGlCAYAAAA2zgQfAAC2iElEQVR4nOz9Z3Tc6XXve34r5wwUUiGDBMCcM9nsHKWW1JIcJEv2sWVbliWHe+/cte6ZOTOz1lnrzl0z51jJUbYl27JlpQ5S58hmzjkg5wxUznleVLHIZpPdzW6SKAD7845odOEPoFD/Xz372ftR5PP5PEIIIYQQQpQJ5XxfgBBCCCGEENeTgCqEEEIIIcqKBFQhhBBCCFFWJKAKIYQQQoiyIgFVCCGEEEKUFQmoQgghhBCirEhAFUIIIYQQ...	<image><image_1>in $\triangle XYZ$, $P$ is the centroid, $KP=3$, and $XJ=8$. Find $YJ$. <image><image_2>Find $QM$.	8 12
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAO8AAACvCAYAAAAVKInVAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...	<image><image_1>Find the area of the figure. Round to the nearest tenth if necessary. <image><image_2>Find $m \angle 6$	2256 35
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAxsAAAGJCAYAAADi7y6oAACkM0lEQVR4nOzdZWCc55X3/+8wimk0si2jwMwQapjTMDsMxbQL7bb7dP+7+2z32W237e62XWjD6DAz2HESJ2aZbaEt1oxYw3z/X8xoJAcdRTAanc+7qvFE8czc932u6/qdo1IURUEIIYQQQgghRpl6on8BIYQQQgghRHqSYkMIIYQQQggxJqTYEEIIIYQQQowJKTaEEEIIIYQQY0KKDSGEEEIIIcSYkGJDCCGEEEIIMSak2BBCCCGEEEKMCSk2...	<image><image_1>If $LK=4,MP=3,PQ=6,KJ=2,RS=6$, and $LP=2$, find $JH$. <image><image_2>Find $m\angle V X W$	4 65
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAASMAAAEeCAYAAADBxHNeAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...	<image><image_1>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠5$. <image><image_2>Quadrilateral $A B C D$ is inscribed in $\odot Z$ such that $m \angle B Z A=104, m \widehat{C B}=94,$ and $\overline{A B} \\| \overline{D C} .$ Find $m \angle Z A C$	47 9
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAU0AAAGdCAYAAACWziHrAAAgAElEQVR4nO3dB3zU5cEH8N/l9iWXXPYeJOwhKFtAGS7c1tE6qlVb32rraF21dre+1rq1Lmpba/W11lZFUHCAbJANYYZAyN7rcvtyd+//+edIggpykNz8fT8fPgIGckDyy/P8n+f5PQqfBEREdELiQv0CiIgiCUOTiCgADE0iogAwNImIAsDQJCIKAEOTiCgADE0iogAwNImIAsDQJCIKAEOTiCgADE0iogAwNImIAsDQJCIKAEOTiCgADE0i...	<image><image_1>Find $x$. <image><image_2>Find $m \angle 3$.	22.5 66
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAdwAAAGyCAYAAABOXXXfAAAgAElEQVR4nOy9B3Cc15mm+3Y3OueAnAMJ5pxFkRKVEyUHOWvG1jjMjifu3Nq6oW7V1r1btXfrTvBO3d2dGe8Ej23ZsixbprJIBSYx50wiZ6AjOqPjPd/5GyApggEUCRLo73EdmQCBRrPR/3n/93xJlReAYRiGYZi7ivpePwGGYRiGKQZYcBmGYRhmGmDBZRiGYZhpgAWXYRiGYaYBFlyGYRiGmQZYcBmGYRhmGmDBZRiGYZhpgAWXYRiGYaYB...	<image><image_1>Find $x$. <image><image_2>Find y.	1.4 16 \sqrt { 5 }
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAARcAAAC6CAYAAACEJglQAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...	<image><image_1>Find the area of the rhombus. <image><image_2>Find x. Round the angle measure to the nearest degree	136 98
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQwAAACwCAYAAAD681ApAAAblUlEQVR4nO3de0DUZb7H8Tdxl4uAIl4wSFHRsERF3aCjZ7N0K2+42lqma6FlYq5rWpt7MuvYOemapaRnU8NLVmZRul20q21Q3lEhr3gfL4iCXIeRgd/5AxlhGuQ3MMP8Br6v/8a5PaV8+P2e7/d5HhdFURSEEEKF2xw9ACGE85DAEEKoJoEhhFBNAkMIoZoEhhBCNQkMIYRqEhhCCNUkMIQQqklg2NExXb6jhyCETUlg2EnSliN0W7KHpJRf...	<image><image_1>Find y <image><image_2>Find $x$.	6 4.5
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAEOCAYAAAAEzVrIAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACCVSURBVHhe7d1PqzxXfh9gv4O8hDF47wHvbfkF2MwLGLD2gyGQ3cQLLbIZTCAr2V5ZK1tLb2yjRUAJnkUQiJAZtAhIhBmMFoEoIgtnkcUNH+ke6Xtrqruruuvv6eeBg+Z3b92qnq57zvmcP133t14AAOiCYAcA0AnBDgCgE4IdAEAnBDsAgE4IdgAA...	<image><image_1>Find $y$ so that the quadrilateral is a parallelogram <image><image_2>Find y.	14 \frac { 28 \sqrt 3 } { 3 }
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA10AAAFuCAYAAAB6CnJ1AAAgAElEQVR4nOzdB3Rb2X0u+g8gQAIkQIC9d1KNpMSq3rs0GmmKZsbjkrET+9p5iZO85KXc3LLuWnESp7zkvqy06ySOPbbHY481o9EU9d4oiV2iKJEUe+8EQVQCeGcfgFQXKQ0piuT38+JYokDwkATPPt/Z//3fCo8ERERERERENC2UM30AREREREREcxlDFxERERER0TRi6CIiIiIiIppGDF1ERERERETTiKGLiIiIiIhoGjF0ERERERERTSOG...	<image><image_1>$\triangle BCD \cong \triangle WXY$. Find $x$. <image><image_2>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 2$ if $m∠1 = 30$.	3 60
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAD0CAYAAABabxsKAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMtgxKCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsjbpNp26UPvUMu/AinePU30mY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5...	<image><image_1>Refer to the figure at the right. Find x. <image><image_2>$m \angle 2=2 x, m \angle 3=x$ Find $m\angle 3$	5.17 30
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVkAAAD8CAYAAADdVNcyAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAC/wSURBVHhe7Z2PcxTXle/3P5FLAypMyREgKFPEiDJFsFEZPawyWiWUDbH4ZW8AhwDJBsErRJ6NqA3iORLrp6QieW0la+GssBdpy4ofQ2Ll7ZDHEAY/aUHYwpGMMJI9IBQhoR/9fX1m+o6uRj0zPTPdM9Pd51N1y9bMCEnd537vud977u2/A8MwDGMZ...	<image><image_1>Use parallelogram ABCD to find $m \angle AFD $ <image><image_2>For the pair of similar figures, use the given areas to find $x$.	97 8
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAgAAAAIBCAYAAAA/JAdfAAAgAElEQVR4nOzdB3ic13Un/AMMps9gMAAGvZEEe+8USYnqVrctF9lxtxR7LdtK4k02eZLd/fbZbHY3aydx3GM7cmLLtlxiqxfbkiiSoih2ir2iA4M+vZfvnjuFoMQCknjnnfL/2SMUgcJLYOa955577rllSYEAAACgpJSrfQEAAACQewgAAAAAShACAAAAgBKEAAAAAKAEIQAAAAAoQQgAAAAAShACAAAAgBKEAAAAAKAEIQAAAAAoQQgAAAAA...	<image><image_1>The square is circumscribed to the circle. Find the exact circumference of the circle. <image><image_2>In $\odot R$, find $TV$. Round to the nearest hundredth.	14 \pi 18.44
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAj0AAADTCAYAAABqQKLaAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...	<image><image_1>The area of trapezoid $JKLM$ is 138 square feet. The area of trapezoid $QRST$ is 5.52 square feet. If trapezoid $J K L M$ $ \sim$ trapezoid $QRST$, find the value of $x$. <image><image_2>Find $m \angle Z$	1 110
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAATkAAAExCAYAAAAHstWcAAABRGlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta...	<image><image_1>$\Delta EFG$ is equilateral, and $\overline{E H}$ bisects $\angle E$. Find $m \angle 2$. <image><image_2>Circle $A$ has diameters $\overline{D F}$ and $\overline{P G}$ If $D F=10$, find $D A$	30 5
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAT4AAADrCAYAAADwvPoYAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5...	<image><image_1>Find the area of the triangle. <image><image_2>Find the length of $\widehat {JK}$. Round to the nearest hundredth.	285 1.05
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAADtCAYAAAD9XrMnAAABRGlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta...	<image><image_1>Triangle $LMN$ is equilateral, and $\overline{MP}$ bisects $\overline{LN}$. Find the measure of each side of $\triangle LMN$. <image><image_2>In the figure, $m∠4 = 101$. Find the measure of $\angle 6$.	10 101
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAOQAAADTCAYAAACRKL+YAAAcoElEQVR4nO2deXRUdZbHP7ESIRiDJMSAYScEAomAEECghVbcF7ZGR1oQemj7iNCKMyhujYxiq4yigqgN3Qq2cJQGxKVFcRQ00G3CEiQQlqyQCCEmkRiSQKqs+SO8UEmqKrW85ffq/T7neA6SV1WPSn3r3nff/d4b5nQ6nUgkEiG4yOgTkEgkF5CClEgEQgpSIhEIKUiJRCCkICUSgZCClEgEQgpSIhEIKUiJRCCkICUSgZCClEgEQgpSIhEI...	<image><image_1>In rhombus $A B C D, A B=2 x+3$ and $B C=5 x$. Find $m \angle AEB$. <image><image_2>If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$ and $m \angle WZG=20,$ find $m \angle YIZ$	90 50
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAUYAAADfCAYAAACKyXrPAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB6ZSURBVHhe7Z3/bxXXmYf7+/4RjnwbbxsRpYGgRhFftBGKCiIsRQ1Ci6qiTdqwWdFIKSBtQ5CaZrcBqYC0OKpId0236SolrUyqJNrQbIyUVHKzcoqJnC2OSnedxm1NFwIucRxg3p2PfY95fTwz9873MzOfRzoKXJt7586c85z3Pe+ZyaeEEELIIihG...	<image><image_1>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent. <image><image_2>Find $m \angle B G E$	5.6 60
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAWsAAAELCAYAAAAfsqciAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEIMogwGCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs57UXFY2uHP7VlV2fX61hdB9TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3...	<image><image_1>In the figure, $\overline{CP}$ is an altitude, $\overline{CQ}$ is the angle bisector of $∠ACB$, and $R$ is the midpoint of $\overline{AB}$. Find $m∠ACQ$ if $m∠ACB=123-x$ and $m∠QCB = 42 + x$. <image><image_2>Find x	55 10 \sqrt { 3 }
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPkAAADlCAYAAACRW1FwAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAGjGSURBVHhe7b1t1GVVdeebj/fT/dCf7hh3jDYXlSHD0Ch67du0ibThduyobaJejNFEjUa7jSYqaqN2fMVojATxLb4Q1KAGtTEQAioKWIgUAbQUC6lo8SZvVRQq8lYF5RjrrrnOmuv5zbXn3Ged56kqC1MffqPqzPmfc8219p5n77P3Puf5lZ/vuTPt...	<image><image_1>Find $m\angle CAM$ <image><image_2>Triangle $LMN$ is equilateral, and $\overline{MP}$ bisects $\overline{LN}$. Find $y$.	28 18
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAZkAAADACAYAAADWUx5FAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMegz6CUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisdruni1tlZa5emMsxZZ/PwTpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...	<image><image_1>Find x in the figure. <image><image_2>Find y	34 23.4
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQgAAAChCAYAAAA7kiFtAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...	<image><image_1>Find the area of the shaded region. Round to the nearest tenth. <image><image_2>Find x. Round to the nearest tenth.	10.7 18.8
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAmQAAADzCAYAAAAo7QpuAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3...	<image><image_1>Find the measure of $\angle 2$. <image><image_2>Find the area of the rhombus.	28 264
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAATMAAAE0CAYAAABAXdTmAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb...	<image><image_1>Find the value of x. <image><image_2>Find the area of the parallelogram.	23 315
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAgoAAAE1CAYAAACGBciwAAAgAElEQVR4nOzdB3ykV3k2/GskTVUZ9d5WdXtv3vV294aNbcAGbMCUGAiBkAAh3/t9+d43CSFAgIABE4MBAzbggjvG9q63917Ve68zml7f5xxJI+16tauuKdefn36YtVdoPTPPcz3n3Oe+VX4FiIiIiK4iaq5/ACIiIgpeDApEREQ0JgYFIiIiGhODAhEREY2JQYGIiIjGxKBAREREY2JQICIiojExKBAREdGYGBSIiIhoTAwKRERENCYGBSIi...	<image><image_1>$\overrightarrow{QP}$ and $\overrightarrow{QR}$ are opposite rays, and $\overrightarrow{QT}$ bisects $\angle SOR$. If $m \angle SOR=6x+8$ and $m \angle TOR=4x-14,$ find $m \angle SQT$. <image><image_2>Find $m\angle W$	58 76
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAU8AAADECAYAAAAfzaNdAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5...	<image><image_1>Find the area of the trapezoid. <image><image_2>In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find $CD$.	180 18
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAUoAAAD0CAYAAAD9nm+0AAA050lEQVR4nO3deViU9f7/8Sebyo6AuICKIIqIC4obmeV2OppHc2nX0hYrPV/bFy0rT6mdMrN+V2pa6jHbXE9qWsctzcgUxEQRBRQVXBARZBdm5vfHCI4wMMMyM/fMvB/X1XVhDPhBuF/c7/uzvB3KSy5oEEIIUSNHSw9ACCGUToJSCCEMkKAUQggDnC09ACHsiqaYS38dYMe+OOITjhIbm0YejniHRxEdEUavPv25e2gvOnrLpakkDjKZI4Q5...	<image><image_1>Find PQ <image><image_2>Find the area of the parallelogram. Round to the nearest tenth if necessary.	6 169.7
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAASIAAAEBCAYAAADchqguAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABiESURBVHhe7d2NcxRlngdw/xOoBFNowfFmCopSqLMoSihElitZLG6FO1ngXEMsl3DWAlaJehJOwZLEWnN3JqjRNajAanILi453Qhk4ggSWnBk0yyWSSDSBMCYhb/29/nX6CZMwr5nuebqnv5+qp5DOGHenn/k+Tz9vcxeIiDRjEBGRdgwiItKOQURE...	<image><image_1>In RSTV, RS $=6, V T=3$ and $R X$ is twice the length of $X V .$ Find $X Y .$ <image><image_2>For trapezoid $ABCD$, $S$ and $T$ are midpoints of the legs. If $AB=x+4$, $CD=3x+2$, and $ST=9$, find $AB$.	4 7
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAWMAAAFGCAYAAAC/o/5kAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIM6gzSCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis20t6bu0rWcNrOvtoo53qmxxM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...	<image><image_1>Find $x$ for the equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$. <image><image_2>Find x. Assume that any segment that appears to be tangent is tangent.	9 10
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAk8AAAHJCAYAAACcxt02AAAgAElEQVR4nOzdBXSU19YG4DfuCYHgEIK7FW+LF4deiru7JkAFK1C8BYK7uxd3K+7uEsUl7hO5c06Sj6TFEiKTfO+zVld/cin/MISZd87eZ2+9KC0QERER0RfRT+0HQERERJSWMDwRERERJQDDExEREVECMDwRERERJQDDExEREVECMDwRERERJQDDExEREVECMDwRERERJQDDExEREVECMDwRERERJQDDExEREVECMDwRERERJQDDExEREVEC...	<image><image_1>$\overline{EB} \\| \overline{DC}$. Find $x$. <image><image_2>Express the ratio of $\cos X$ as a decimal to the nearest hundredth.	9.5 0.28
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPoAAAD7CAYAAABDsImYAAA6/0lEQVR4nO2de0BUZfrHPzgQFxEERURQARFR8YKKmlq6pdltxTQr3S5a5Lalbdbautlm7m8tyy0rrbayTCutvKR287alhZmK4AUREAVxEBEBuQ7IDPP7Y5zDzDAwAwzMGeb9/OMMc+bMceZ83/d5nvd5ntelpqZGi0AgaNd0sPcFCASC1kcIXSBwAlw7dBBaFwjaO0LlAoETIIQuEDgBri4uLva+BoFA0MqIGV0gcAKE0AUCJ0CY7gKBEyBm...	<image><image_1>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$ Find ND <image><image_2>Find z.	15 3
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAdYAAAG3CAYAAAAJsnSlAAAgAElEQVR4nOy9Z3BbZ7au+YJgzhHMFEmRYpAYREqyoiVZli3Ldju17XZO7e523zv3zNxbdWvuj6mp+TFV8+dWndOn7+no7HY75yAH5RwoiVlipsQEgDkDIIn51gdsEMwkCAIM6+neJYIWoU1gY7/fWt9a71KZBWAYhmEYxil4uPsEGIZhGGY1wcLKMAzDME6EhZVhGIZhnAgLK8MwDMM4ERZWhmEYhnEiLKwMwzAM40RYWBmGYRjGibCwMgzD...	<image><image_1>If $CW=WF$ and $ED=30$, what is $DF$? <image><image_2>A square is inscribed in a circle of area 18$\pi$ square units. Find the length of a side of the square.	15 6
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAo4AAAICCAYAAABBfExDAAAgAElEQVR4nOzdZ2wcd7ou+KeqOrAD2cw5KTBTVrRkK1mWLOdxmHH2hDNz5h4c4C7uxQIL7C4uFgsssN8Wu4v9sDg4e885d87MOM+MwzhbtiVbtizZyhRJiRJzDt1sdqzuqtqqalKSPQotWWKn5zfTkNgUqT9psfqpf3hfQdOBiIiIiOg6xFQPgIiIiIgyA4MjERERESWFwZGIiIiIksLgSERERERJYXAkIiIioqQwOBIRERFRUhgciYiIiCgp...	<image><image_1>Find the scale from $B$ to $B'$. <image><image_2>Find $m\angle H$	\frac { 4 } { 3 } 97
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAADUCAYAAACCoaZmAAABRGlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW...	<image><image_1>Find the area of the figure. Round to the nearest tenth if necessary. <image><image_2>Find x. Round to the nearest tenth, if necessary.	35.7 3
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQQAAAETCAYAAADQ23gpAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz...	<image><image_1>Find the area of the figure. <image><image_2>Find the area of the figure.	60 144
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAADbCAYAAABKkKXoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABokSURBVHhe7d37c1Rlmgdw/4z9DSsIJRXZjGjpeqEEdGYd7w7IzCzoDssUWgzOisIUIw4yO+CFGUBxQQWWi2gGuSjIRSdisoBDJERgDdcBhgABQhJAIKFDdOq7ebr7pE93nu4+SZ9+z+37w6cKct7Tbzqd8837vs+5XPddewuIyEWxFnS0NQfad7EL...	<image><image_1>If $A E=m-2, E C=m+4$， $A D=4,$ and $A B=20,$ find $m$ <image><image_2>Find y	4 \frac { 5 \sqrt { 2 } } { 2 }
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAEBCAYAAABxB7CHAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...	<image><image_1>Find the perimeter of the figure. Round to the nearest tenth if necessary. <image><image_2>Find the measure of $\angle 2$ if $\overline{A B} \perp \overline{B C}$.	24 68
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAc8AAADJCAYAAABFVrmCAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABoGSURBVHhe7d3/kxT1ncdxf7w/4H68qrV2ldIylAV66ok5CVfkVDgSU0qiZ8qIKa0EpHKaVIjmEBO/oMJFSchpIJgUp0GJinJBpYiBxZMjEPDMglAssiKwyC5+AXVZ0HrfvAd66Z19z3T3zKd7+tPzfFU9KsnO7H622e3PK/2Z6c+eIYQQQghJFMqT...	<image><image_1>Find x <image><image_2>In $\odot B$, $CE=13.5$. Find $BD$. Round to the nearest hundredth.	9.3 4.29
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAkoAAAFxCAYAAACMdodqAABncElEQVR4nO3dd3xV9f3H8de5K3vvACGE7ABuce+tOBHcdWtra2tttdZfa6uttnbZ1lFnXSjg1rr33gvIzSAkjEASsndyx7m/P5Lce4MEAgay3s/Ho39UBW5r7rmv+z2f8/0aPp/Ph4iIiIh8h2W0X4CIiIjIWKVQEhERERmCQklERERkCAolERERkSEolERERESGoFASERERGYJCSURERGQICiURERGRISiURERERIagUBIREREZgkJJRERE...	<image><image_1>If $\overline{PR} \\| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $KM$. <image><image_2>Find $m \angle ABC$.	15 22
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAUwAAADgCAYAAABox19+AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN...	<image><image_1>Express the ratio of $\cos A$ as a decimal to the nearest hundredth. <image><image_2>Find $AD$.	0.60 7.5
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAABDgAAAGRCAYAAACAOwMOAAAgAElEQVR4nOzdV1BcWbov+H8mJAnpIIFMvAcJIwkhhEzJlcp0uS7fVV3tq805M+fGjYmJmIe5LzMxEzMvJ+7DRIyJG9ec9tXd5bqqq8t1GZVMqWQxMiBAeBKbnvR2z14bRDmQAAkh4P/rzpagYeeGTO211re/9X0qSQYiIiIiIiIionVMvdYnQERERERERER0uxjgICIiIiIiIqJ1jwEOIiIiIiIiIlr3GOAgIiIiIiIionWPAQ4iIiIiIiIi...	<image><image_1>$\triangle LMN \cong \triangle QRS$. Find $x$. <image><image_2>Find the circumference of the figure. Round to the nearest tenth.	20 19.5
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAACvCAYAAAC/zhhAAAAW8ElEQVR4nO3da0CUZd7H8a8CEoqoIKGLR6TyAKImWkqrlaZWq6a1pR2MQnsqysjVWt0yO9iWlZWoW2FW2nk9ZLmeWqsNysCSYlRSBE3IJgQVgQEZnOeFgYOCAQFzz8zv84qZuRkuYOY3//s63c1sNpsNERGDae7oBoiIVEfhJCKGpHASEUNSOImIISmcRMSQFE4iYkgKJxExJIWTiBiSwklEDEnhJCKGpHASEUNSOImIISmcRMSQFE4iYkgK...	<image><image_1>find $sinS$ <image><image_2>Find $BC$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3$, and $FE=x+\frac{10}{3}$.	0.6 10
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVcAAAC2CAYAAABtXs6LAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACHMSURBVHhe7Z1/bFTnme/3zyuttFrdP1b3j9U68oAFiMj88g3KEqNEFl0QeIHbuk5ZFVqgdrLiRxHQ3UDoBbq3MXuLUa5NWsLWZhNvE7N77ezGluJUOCo0dbJxismaDY5iik1MYm5MjYONbXy+9zwz5x1ez5z55Zkzc86Z70d61eacsfHMPPN9v+/z...	<image><image_1>Find $x$ so that each quadrilateral is a parallelogram. <image><image_2>$P$ is the incenter of $\triangle AEC$. Find $m \angle DEP$.	34 28.5
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAFcCAYAAADVgjVPAAAgAElEQVR4nOy9d1ScZ7bu+VSCIhRFkXNGSCgggbIsW8m2bEu21I7tbne3u919zpqZMzN33Tmz1qR1/52z1p07s+49d+ac7rZPu+12tmVZtmVbyZKVUCCIjEQORS6ogqKg0rz7rSoJAZIAIaCK/VvrW5YFfCoqPN/+9vu8z1b8cOK0G4LExESEhoZgInp9BIKCgu76u2Dx/yqV8q6/UyqVUCgUYBiGYRYe5YO/hWEYhlnKqDMy0uUfogwGBAVP...	<image><image_1>Find $x$. <image><image_2>$m \angle 4=42$. Find $m \angle 7$.	5 138

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