images images listlengths 1 1 | problem stringlengths 14 2k | answer stringlengths 9 199 |
|---|---|---|
<image>
Given that the measure of angle 11 is 62 degrees and the measure of angle 14 is 38 degrees in the figure, what is the measure of angle 12?
Choices:
(A) 38
(B) 62
(C) 118
(D) 142 | \boxed{C} | |
<image>
In a certain lighting system, several colors of bulbs are arranged in a row as shown in the figure. Each color can be used repeatedly. If 5 bulbs are arranged, how many different combinations are there? | \boxed{243} | |
<image>Using the oblique projection method, a horizontally placed plane figure is drawn as a square as shown in the figure. What was the original figure? (Fill in the number) | \boxed{1} | |
<image>
Describe the relationship between the y-coordinates of points M and N: A. $y_{M} = 2y_{N}$ B. $y_{M} = y_{N}$ C. $y_{M} = 4y_{N}$ D. Cannot be determined. | \boxed{B} | |
<image>
As shown in the figure, $$\triangle ABC$$ and $$\triangle A'B'C'$$ are similar figures, and all vertices are on grid points. The coordinates of the center of similarity are ___. | \boxed{(9,0)} | |
The net of a geometric solid is shown in the figure. The solid is ( )
<image><image_1>
A.
<image><image_2>
B.
<image><image_3>
C.
<image><image_4>
D.
<image><image_5> | \boxed{A} | |
<image>
Question: The results of asking 50 students if they participate in music or sports are shown in the Venn diagram. What percentage of the 50 students do not participate in music and do not participate in sports?
Choices:
A. 0%
B. 80%
C. 20%
D. 70%
E. 40% | \boxed{C} | |
<image>
As shown in the figure, in the equilateral triangle ABC, D is a point on side BC. Extend AD to E such that AE = AC. The bisector of ∠BAE intersects the altitude BF of △ABC at point O. Then ∠E = ______ . | \boxed{30^\circ} | |
As shown in the figure, $AB \parallel CD$, and $AC$ and $BD$ intersect at point $O$. If $AB = 6$, $CD = 3$, and $DO = 4$, what is the length of $BO$?
<image> | \boxed{8} | |
<image>
At the first site, higher-class equipment was used, while at the second site, first-class equipment was used, with higher-class being less than first-class. Initially, 30% of the equipment from the first site was transferred to the second site. Then, 10% of the equipment at the second site was transferred to th... | \boxed{17} | |
<image>
As shown in the figure, to measure the height of slope MN, points A and the top of another slope C are chosen as observation points. From point A, the angle of elevation to point M is ∠MAN = 60°, the angle of elevation to point C is ∠CAB = 45°, and ∠MAC = 75°; from point C, ∠MCA = 60°. Given that the height of ... | \boxed{75} |
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