images images listlengths 1 1 | problem stringlengths 23 244 | answer stringlengths 1 34 |
|---|---|---|
<image>Question: Find $x$ in the figure. | 90 | |
<image>Question: A square with side length of $9$ inches is inscribed in $\odot J$. Find the exact circumference of $\odot J$. | 9 \sqrt 2 \pi | |
<image>Question: Find $x$. | 3 | |
<image>Question: If QRST is a parallelogram, find $x$ | 5.4 | |
<image>Question: For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x, PM = 20, and QR = 6x, find x. | 5 | |
<image>Question: Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | 80 | |
<image>Question: Find x. | 14 | |
<image>Question: Find $m \widehat {PO}$. | 112 | |
<image>Question: Find the perimeter of the triangle. Round to the nearest tenth if necessary. | 36 | |
<image>Question: Find $m\angle D$ | 117 | |
<image>Question: Points $P$, $Q$, and $R$ are the midpoints of $\overline{J K}$, $\overline{K L}$, and $\overline{J L}$, respectively. Find $x$ . | 5.5 | |
<image>Question: Find $h$ in each triangle. | \frac { 15 \sqrt 2 } { 2 } | |
<image>Question: Find $XY$. | 7 | |
<image>Question: Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth. | 4.1 | |
<image>Question: Find the scale factor from $W$ to $W'$. | 0.75 | |
<image>Question: Find $U B$ if $\triangle R S T \sim \triangle U V W, \overline{T A}$ and $\overline{WB}$ are medians, $T A=8$, $R A=3, W B=3 x-6,$ and $U B=x+2$ | 36 | |
<image>Question: $UJ=9, VJ=3$, and $ZT=18$. Find $JT$. | 6 | |
<image>Question: If $MNPQ \sim XYZW,$ find the perimeter of $XYZW$. | 17 | |
<image>Question: Find the area of the figure. | 64 | |
<image>Question: Find x | 5 \sqrt { 2 } | |
<image>Question: Find $m \angle 5$. | 85 | |
<image>Question: Quadrilateral $WXZY$ is a rhombus. If $m \angle XZY=56$, find $m \angle YWZ$. | 28 | |
<image>Question: Find the area of the figure in feet. Round to the nearest tenth, if necessary. | 14.4 | |
<image>Question: Find $x$. | 21 | |
<image>Question: In $\odot P, P D=10, P Q=10,$ and $Q E=20$, find PE | 10 \sqrt { 5 } | |
<image>Question: If $WXYZ$ is a kite, find $ZY$. | 8 \sqrt { 10 } | |
<image>Question: Find the area of the regular polygon. Round to the nearest tenth. | 15.6 | |
<image>Question: If $m \angle AFB = 8x - 6$ and $m \angle BFC = 14x + 8$, find the value of $x$ so that $\angle AFC$ is a right angle. | 4 | |
<image>Question: Find $x$. | 170 | |
<image>Question: Find $x$. | 11.2 | |
<image>Question: Find the area of the figure. Round to the nearest hundredth, if necessary. | 4 | |
<image>Question: Find the area of the figure. Round to the nearest tenth if necessary. | 50 | |
<image>Question: Find x | 24 | |
<image>Question: Find x. | \frac { 13 \sqrt { 2 } } { 2 } | |
<image>Question: Find the measure of $\angle 1$. | 56 | |
<image>Question: Find $y$. | 3 | |
<image>Question: Use parallelogram ABCD to find $m\angle BCD$ | 52 | |
<image>Question: In $\odot A, m \angle E A D=42$. Find $m \widehat{C D}$ | 138 | |
<image>Question: For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure. | \frac { \sqrt { 3 } } { 2 } | |
<image>Question: Find x. | 4 \sqrt { 13 } | |
<image>Question: Find $x$. (Hint: Draw an auxiliary line.) | 130 | |
<image>Question: Find z | 2 \sqrt { 6 } | |
<image>Question: In $\odot F$, find $m \widehat {AED}$. | 153 | |
<image>Question: Find $y$ in the figure. | 26.3 | |
<image>Question: For trapezoid $ABCD$, $S$ and $T$ are midpoints of the legs. If $AB=3x$, $ST=15$, and $CD=9x$, find $x$. | 2.5 | |
<image>Question: If $BT = 5$ and $TC = 8$, find $CD$. | \sqrt { 89 } | |
<image>Question: If $QR=2$, $XW=12$, $QW=15$, and $ST=5$, find $RS$. | 8 | |
<image>Question: In $\odot W$, $\widehat {RS} \cong \widehat {TV}$. Find $RS$. | 11 | |
<image>Question: In the figure, $m∠8 = 96$ and $m∠12 = 42$. Find the measure of $\angle 9$. | 84 | |
<image>Question: $\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$. | 50 | |
<image>Question: Find y | \frac { 5 } { 3 } | |
<image>Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent. | 14 | |
<image>Question: If $c=8,$ find $b$ | 4 \sqrt { 3 } | |
<image>Question: Find $m\angle T$ | 58 | |
<image>Question: Find the area of the shaded region. Round to the nearest tenth. | 68.7 | |
<image>Question: Segments $\overline{AD}$ and $\overline{CE}$ are medians of $\triangle ACB, \overline{AD} \perp \overline{CE}, AB=10$, and $CE=9$. Find $CA$ | \sqrt { 52 } | |
<image>Question: In $\triangle RST$, $Z$ is the centroid and $RZ=18$. Find $ZV$. | 9 | |
<image>Question: Find x. | 45 | |
<image>Question: In $\odot B$, the diameter is 20 units long, and $m \angle A C E=45$ Find $x$ | \sqrt { 2 } | |
<image>Question: Find $x$. | 145 | |
<image>Question: Find $m \angle T$. | 135 | |
<image>Question: Find $x$. | 7 | |
<image>Question: In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 5$. | 64 | |
<image>Question: Triangle $CDE$ has an area of 336 square inches. Find $CE$. | 28 | |
<image>Question: Find $x$ in the figure. | 16 | |
<image>Question: Find the area of the shaded region. Round to the nearest tenth. | 449.0 | |
<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary. | 259.9 | |
<image>Question: Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find the perimeter of trapezoid ABCD | 73.2 | |
<image>Question: In $\odot B$, $m \angle LBM = 3x$ and $m \angle LBQ = 4x + 61$. What is the measure of $\angle PBQ$? | 51 | |
<image>Question: Find x. Round the angle measure to the nearest degree. | 40 | |
<image>Question: Find $m \angle 1$. | 108 | |
<image>Question: Find x | 22 | |
<image>Question: If $m\angle ZYW = 2x - 7$ and $m \angle WYX = 2x + 5$, find $m\angle ZYW$. | 39 | |
<image>Question: Find $m\angle B$ | 90 | |
<image>Question: Find $x$ in each figure. | 31 | |
<image>Question: Find $m \angle 6$. | 45 | |
<image>Question: Find x | \frac { 17 \sqrt { 2 } } { 2 } | |
<image>Question: If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and $KH = 2x + 3$, find $x$ so that the quadrilateral is a parallelogram. | 4 | |
<image>Question: In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find $m\widehat{A B}$ | 80 | |
<image>Question: Find $m \angle Q$ | 70 | |
<image>Question: Triangle $WXY$ has an area of 248 square inches. Find the length of the base. | 31 | |
<image>Question: Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent. | 5.6 | |
<image>Question: Find $m \angle 4$. | 125 | |
<image>Question: If WXYZ is a kite, find $YZ$ | \sqrt { 89 } | |
<image>Question: Find x. Round to the nearest tenth. | 5.2 | |
<image>Question: Find the measure of $\angle B$ | 46 | |
<image>Question: Find $m \angle A G E$ | 120 | |
<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary. | 665.1 | |
<image>Question: $a=14, b=48,$ and $c=50$, find $tanB$ | 3.43 | |
<image>Question: Find x | 22.5 | |
<image>Question: Find $x$. | 6 | |
<image>Question: Find $x$ so that the quadrilateral is a parallelogram | 11 | |
<image>Question: Use rhombus XYZW with $m \angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\frac{5 a+1}{4}$
Find XZ | 8 | |
<image>Question: Use rhombus XYZW with $m \angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\frac{5 a+1}{4}$
Find $m \angle X Y W$ | 53 | |
<image>Question: In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 7$. | 49 | |
<image>Question: Find x | 8 \sqrt { 3 } | |
<image>Question: Find $x$. | 25 | |
<image>Question: In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 3$ at vertex $C$. | 26 | |
<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary. | 103.9 | |
<image>Question: Find y. | \frac { 3 } { 2 } |
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