images
images listlengths 1
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| problem
stringlengths 30
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| answer
stringclasses 668
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|---|---|---|
<image>Find $m \angle 3$.
Choices:
65
70
95
110
|
95
|
|
<image>The sum of the circumference of circles $H,J,K$ is $56 \pi$ units. Find $KJ$.
Choices:
12
24
28
56
|
24
|
|
<image>Find the length of $XY$
Choices:
4
5
6
9
|
9
|
|
<image>$m \widehat{J H}=114$ Find $m\angle 2$
Choices:
23
33
57
114
|
57
|
|
<image>If $A B=60$ and $D E=48,$ find $C F$
Choices:
12
18
24
30
|
18
|
|
<image>Find $y$.
Choices:
6
8
10
20
|
8
|
|
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
8
16
24
32
|
8
|
|
<image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
\sqrt { 2 }
\sqrt { 6.5 }
\sqrt { 13 }
\sqrt { 26 }
|
\sqrt { 26 }
|
|
<image>Find y.
Choices:
6
7
9
12
|
6
|
|
<image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
2 \sqrt { 6 }
4 \sqrt { 3 }
|
2 \sqrt { 3 }
|
|
<image>$m∠11 = 4x$, $m∠12 = 2x -6 $. Find the measure of $\angle 11$.
Choices:
116
118
120
124
|
124
|
|
<image>The area $A$ of the shaded region is given. Find $x$. $A = 94$ in$^2$ .
Choices:
5.5
27.5
55.0
110.0
|
55.0
|
|
<image>Find $m \angle C G D$
Choices:
30
60
150
210
|
150
|
|
<image>Find the area of the quadrilateral.
Choices:
168
192
240
288
|
240
|
|
<image>In the figure, $m∠2= 110$ and $m ∠ 12 = 55$. Find the measure of $∠2$.
Choices:
55
70
80
110
|
70
|
|
<image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
6
20
22
42
|
22
|
|
<image>Find x
Choices:
24
32
40
8 \sqrt { 41 }
|
8 \sqrt { 41 }
|
|
<image>Find the area of the figure to the nearest tenth.
Choices:
80.6
87.5
94.4
112.6
|
87.5
|
|
<image>What is the ratio of the measure of $\angle A C B$ to the measure of $\angle A O B ?$
Choices:
0.5
1
2
not enough information
|
0.5
|
|
<image>Find $x$ so that the quadrilateral is a parallelogram
Choices:
11
14
77
98
|
11
|
|
<image>Find x
Choices:
35
90
100
120
|
35
|
|
<image>find $cosS$
Choices:
0.2
0.4
0.6
0.8
|
0.8
|
|
<image>Find $m \angle 4$.
Choices:
55
63
118
125
|
125
|
|
<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 8$.
Choices:
38
62
118
142
|
62
|
|
<image>Refer to the figure at the right. Find the value of $x$ if $ p \parallel q $.
Choices:
27
45
60
75
|
45
|
|
<image>WXYZ is a kite. If $m\angle WXY = 120$, $m\angle WZY = 4x$, and $m\angle ZWX = 10x$, find $m\angle ZYX$.
Choices:
24
40
60
100
|
100
|
|
<image>Find x.
Choices:
3
4
6
12
|
6
|
|
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
180
240
360
480
|
240
|
|
<image>$P$ is the incenter of $\angle XYZ$. Find $m \angle LZP$.
Choices:
20
27
31
32
|
32
|
|
<image>Find x
Choices:
10
11
\frac { 56 } { 5 }
12
|
\frac { 56 } { 5 }
|
|
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
10
11
12
13
|
13
|
|
<image>Find the measure of $m\angle 3$. Assume that segments that appear
tangent are tangent.
Choices:
12
20
26
28
|
26
|
|
<image>In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $JK$.
Choices:
7
8
14
16
|
7
|
|
<image>$ABCD \sim QSRP$. Find $y$.
Choices:
13
32
34
39
|
32
|
|
<image>Find x.
Choices:
8
9
10
11
|
10
|
|
<image>Find the area of $▱ TRVW$.
Choices:
108
108 \sqrt 2
108 \sqrt 3
216
|
108 \sqrt 3
|
|
<image>Find $CP$.
Choices:
4
8
10
12
|
8
|
|
<image>If the polygon shown is regular, what is $m\angle ABC$
Choices:
140
144
162
180
|
140
|
|
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{C B E}$
Choices:
90
180
270
360
|
180
|
|
<image>Find $m \widehat {RT}$.
Choices:
54
63
108
126
|
126
|
|
<image>Find $m \angle B$.
Choices:
44
89
92
98
|
92
|
|
<image>Find $x$.
Choices:
8
11.3
13.9
16
|
13.9
|
|
<image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find MB
Choices:
10
15
20
30
|
15
|
|
<image>Find x
Choices:
6
7
8
9
|
6
|
|
<image>Find the perimeter of the figure in feet. Round to the nearest tenth, if necessary.
Choices:
20
28
36
44
|
28
|
|
<image>Find y
Choices:
\frac { 3 } { 5 }
\frac { 5 } { 3 }
\frac { 5 } { \sqrt { 3 } }
5
|
\frac { 5 } { 3 }
|
|
<image>In $\triangle P Q R, R S=3$ and $Q S=14 .$ Find $P S$
Choices:
\sqrt { 14 }
\sqrt { 42 }
\sqrt { 47 }
\sqrt { 205 }
|
\sqrt { 42 }
|
|
<image>Find x
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
4 \sqrt { 3 }
4 \sqrt { 6 }
|
2 \sqrt { 6 }
|
|
<image>$\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $XZ$.
Choices:
5
6.5
7
13
|
6.5
|
|
<image>The height of a triangle is 5 centimeters more than its base. The area of the triangle is 52 square centimeters. Find the height.
Choices:
10.1
13
14.9
18
|
13
|
|
<image>Find the ratio of the area of the circle to the area of the square.
Choices:
\frac { \pi } { 4 }
\frac { \pi } { 2 }
\frac { 3 \pi } { 4 }
\pi
|
\frac { \pi } { 4 }
|
|
<image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find CN
Choices:
10
15
20
30
|
15
|
|
<image>If $J L=27, B L=9,$ and $J K=18,$ find $J A$.
Choices:
9
12
13.5
18
|
12
|
|
<image>In $\odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U=4 x$, $m \angle U Z Y=2 x+24,$ and $\overline{V Y}$ and $\overline{W U}$ are diameters.
Find $m\widehat{W X}$
Choices:
48
52
90
180
|
52
|
|
<image>If $WZ=25.3$, $YZ=22.4$, $WZ=25.3$, find $XY$.
Choices:
14.9
21
22.4
25.3
|
22.4
|
|
<image>$a=8, b=15,$ and $c=17$ find $tanB$
Choices:
1.23
1.67
1.88
2.43
|
1.88
|
|
<image>Use parallelogram NQRM to find QR
Choices:
13
14
15
16
|
15
|
|
<image>Find $m\angle P$
Choices:
30
60
120
150
|
120
|
|
<image>Find $x$.
Choices:
40
55
65
75
|
75
|
|
<image>Find $x$. Round to the nearest tenth.
Choices:
13.4
31.1
44.0
46
|
44.0
|
|
<image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
8
25
40
90
|
8
|
|
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
14
20
28
36
|
28
|
|
<image>Find $E H$ if $\triangle A B C \sim \triangle D E F, \overline{B G}$ is an altitude of $\triangle A B C, \overline{E H}$ is an altitude of $\triangle D E F, B G=3$, $B F=4, F C=2,$ and $C E=1$
Choices:
1
\frac { 3 } { 2 }
2
3
|
\frac { 3 } { 2 }
|
|
<image>Find $h$ in the triangle.
Choices:
3 \sqrt 2
3 \sqrt 3
6
6 \sqrt 2
|
3 \sqrt 2
|
|
<image>Each pair of polygons is similar. Find x
Choices:
5
8
10
15
|
10
|
|
<image>Each pair of polygons is similar. Find ED
Choices:
5
6.25
10
95
|
5
|
|
<image>If $QV=8$, what it the diameter of $\odot Q$.
Choices:
7
8
11
16
|
16
|
|
<image>Find y.
Choices:
3
3 \sqrt { 3 }
9
6 \sqrt { 3 }
|
3
|
|
<image>In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find $KH$.
Choices:
8
9
12
18
|
8
|
|
<image>Find $m\angle C$
Choices:
78
103
105
120
|
103
|
|
<image>Rhombus $RSTU$ has an area of 675 square meters. Find $SU$.
Choices:
22.5
25.98
30
45
|
45
|
|
<image>Find the measure of $\angle 2$ in the figure.
Choices:
50
52
56
60
|
52
|
|
<image>Find $x$.
Choices:
2
4
6
8
|
2
|
|
<image>Find $m\angle M$
Choices:
62
71
96
106
|
96
|
|
<image>Each pair of polygons is similar. Find x
Choices:
8
20
27
820
|
27
|
|
<image>Find y.
Choices:
1.0
1.5
2.0
2.5
|
1.5
|
|
<image>What is the perimeter of the triangle shown below? Round to the nearest tenth.
Choices:
222.6
300.6
325.6
377.6
|
325.6
|
|
<image>Find the value of $d$ in the parallelogram
Choices:
42
56
84
92
|
42
|
|
<image>In A, the radius is $14$ and $CD = 22$. Find $EB$. Round to the nearest hundredth.
Choices:
3.72
5.34
8.66
16.97
|
5.34
|
|
<image>Find x
Choices:
20
25
45
55
|
45
|
|
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
45.7
70.9
83.4
96
|
70.9
|
|
<image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 4$ at vertex $C$.
Choices:
15
16
17
18
|
17
|
|
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
6
12
13.2
24
|
6
|
|
<image>Find $\angle 6$.
Choices:
28.5
56
57
123
|
123
|
|
<image>Circle $A$ has diameters $\overline{D F}$ and $\overline{P G}$
If $A G=12,$ find $L A$
Choices:
12
24
36
48
|
12
|
|
<image>If QRST is a kite, find $m\angle RST$.
Choices:
39
68
78
136
|
78
|
|
<image>Find $m \angle 2$.
Choices:
73
82
107
146
|
73
|
|
<image>Find $R S$ if $P Q=12, Q R=2,$ and $T S=3$
Choices:
2
3
4
12
|
4
|
|
<image>Polygon $BCDE$ $\cong$ polygon $RSTU$. Find $y$.
Choices:
3
10
20
42
|
42
|
|
<image>Find $m \angle R C L$
Choices:
43
137
223
247
|
137
|
|
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
204
289
408
916
|
408
|
|
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
Choices:
62
76
80
91.3
|
80
|
|
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
40
46
52
56
|
46
|
|
<image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠15$.
Choices:
50
55
65
70
|
55
|
|
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
3.8
4
5
7
|
3.8
|
|
<image>Refer to trapezoid $CDFG$ with median $\overline{HE}$. Find $GF$.
Choices:
30
32
38
46
|
30
|
|
<image>Find $m \angle G$.
Choices:
93
97
106
116
|
93
|
|
<image>Express the ratio of $\cos M$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
|
0.92
|
|
<image>Find x
Choices:
3
4
5
3 \sqrt { 3 }
|
3
|
|
<image>If $m \angle 1=3 x+40$, $m \angle 2=2(y-10)$, and $m \angle 3=2 x+70$, find $y$.
Choices:
55
60
65
75
|
75
|
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