images listlengths 1 1 | problem stringlengths 14 321 | answer stringlengths 1 103 | id int64 5.47k 11k | choices null | ground_truth stringlengths 1 103 |
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... | <image>AB and DE are parallel. The measure of angle BAC is 30 , and the measure of angle CDE is 50. What is the measure of angle ACD?
Choices:
(A) 100
(B) 90
(C) 80
(D) 70
(E) cannot be determined from the information | 90 | 5,474 | null | 90 |
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228,
29,... | <image>Given a circle with the center indicated. Find x.
Choices:
(A) 100
(B) 80
(C) 50
(D) 40
(E) None | 40 | 5,475 | null | 40 |
[
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29,
176,
... | <image>In the figure above, AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC?
Choices:
(A) 18
(B) 13.5
(C) 9
(D) 4.5
(E) 3 | 4.5 | 5,476 | null | 4.5 |
[
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0,
61,
91,
... | <image>Given the circle at the right with two intersecting chords. Find x.
Choices:
(A) 2
(B) 6
(C) 8
(D) 10
(E) None | 8 | 5,477 | null | 8 |
[
{
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57,
26,
... | <image>In the diagram at the right, AC = DC = DB. If the measure of angle ACD is 48, find the measure of angle B.
Choices:
(A) 24 degrees
(B) 33 degrees
(C) 48 degrees
(D) 66 degrees
(E) None | 33 degrees | 5,478 | null | 33 degrees |
[
{
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78,
89,
... | <image>Given Circle O with diameter CD. AB is parallel with CD and AB=80*\degree. Find angle of arc CA.
Choices:
(A) 50
(B) 60
(C) 80
(D) 100
(E) None | 50 | 5,479 | null | 50 |
[
{
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146,
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144,
78,... | <image>Given the circle at the right with designated center, designated perpendicular, and radius 5. Find the length of the segment labeled x.
Choices:
(A) 4
(B) 5
(C) 8
(D) 10\sqrt(10)
(E) None | 10\sqrt(10) | 5,480 | null | 10\sqrt(10) |
[
{
"bytes": [
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1,
60,
0,
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176,
1,
3,
0,
0,
0,
168,
206,... | <image>A and B are equidistant from the line l. How many circles can be drawn with their centers on line l and that pass through both A and B?
Choices:
(A) 1
(B) 2
(C) 3
(D) 4
(E) >10 | 3 | 5,481 | null | 3 |
[
{
"bytes": [
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80,
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221,
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8,
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74,
210,... | <image>In the diagram at the right, parallel lines a and m are cut by transversal t, 1 = 4x + 16 and 2 = 2x - 22. Find 1.
Choices:
(A) 31 degrees
(B) 40 degrees
(C) 140 degrees
(D) 148 degrees
(E) None | 31 degrees | 5,482 | null | 31 degrees |
[
{
"bytes": [
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2,
8,
6,
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174,
146,
... | <image>Find x. | A | 5,483 | null | A |
[
{
"bytes": [
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80,
78,
71,
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26,
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0,
0,
0,
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0,
0,
2,
249,
0,
0,
1,
25,
8,
6,
0,
0,
0,
13,
16,
... | <image>Find m \angle 2. | C | 5,484 | null | C |
[
{
"bytes": [
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80,
78,
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10,
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10,
0,
0,
0,
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82,
0,
0,
0,
243,
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0,
1,
26,
8,
6,
0,
0,
0,
196,
202,... | <image>Find the area of the kite. | C | 5,485 | null | C |
[
{
"bytes": [
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80,
78,
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10,
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10,
0,
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8,
6,
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0,
0,
232,
76,
... | <image>m \widehat G H = 78. Find m \angle 2. | B | 5,486 | null | B |
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