images images listlengths 1 1 | problem stringlengths 30 291 | answer stringclasses 668 values |
|---|---|---|
<image>Find x.
Choices:
7
14
14 \sqrt { 2 }
28 | 14 | |
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 13$.
Choices:
54
64
74
84 | 64 | |
<image>In the figure, $m∠4 = 104$, $m∠14 = 118$. Find the measure of $\angle 9$.
Choices:
62
76
104
118 | 62 | |
<image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
6.2
12.5
68.6
311.5 | 311.5 | |
<image>Find $x$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$
Choices:
21
35
36
46 | 35 | |
<image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 8$.
Choices:
57
113
123
133 | 57 | |
<image>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 $U B=x+2$
Choices:
24
28
32
36 | 36 | |
<image>Use parallelogram $JKLM$ to find $m \angle MJK$.
Choices:
80
100
110
120 | 100 | |
<image>Find the perimeter of the triangle. Round to the nearest hundredth.
Choices:
27.31
28.52
60.34
61.55 | 28.52 | |
<image>$m∠9 = 2x - 4$, $m∠10 = 2x + 4$. Find the measure of $∠9$.
Choices:
45
82
86
94 | 86 | |
<image>Find $m\angle X$
Choices:
18
36
72
144 | 36 | |
<image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
15.6
18.0
31.2
36.0 | 15.6 | |
<image>Find the measure of $x$.
Choices:
0.5
1.0
1.5
2.0 | 0.5 | |
<image>$\overline{PQ}$ is tangent to circles $R$ and $S$. Find $PQ$.
Choices:
4 \sqrt 2
6 \sqrt 2
4 \sqrt 6
6 \sqrt 6 | 4 \sqrt 6 | |
<image>In the figure, $LH$ is the midsegment of trapezoid $FGJK$. What is the value of $x$ ?
Choices:
11.8
15
18.2
33.2 | 11.8 | |
<image>Find x
Choices:
- 3
0
3
6 | 0 | |
<image>Find $x$.
Choices:
30
40
50
80 | 40 | |
<image>In $\triangle ABC$, $\overline{AD}$ and $\overline{DC}$ are angle bisectors and $m \angle B=76$. What is the measure of $\angle ADC $?
Choices:
26
52
76
128 | 128 | |
<image>What is the value of x in the figure below? Round to the nearest tenth.
Choices:
10.5
11.1
13.6
14.2 | 11.1 | |
<image>ABCD is a rectangle. If $A C=9 x-1$ and $A F=2 x+7,$ find $A F$
Choices:
3
6
13
26 | 13 | |
<image>Find the variable of $r$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
0.8
1.8
2.8
3.8 | 1.8 | |
<image>Find $m \widehat{B C A}$
Choices:
30
45
55
180 | 180 | |
<image>Find $y$ in $\triangle P Q R$
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
4 \sqrt { 3 }
4 \sqrt { 6 } | 2 \sqrt { 3 } | |
<image>Find x
Choices:
6
8
10
12 | 8 | |
<image>Find y
Choices:
2 \sqrt { 6 }
\sqrt { 33 }
\sqrt { 34 }
2 \sqrt { 11 } | \sqrt { 33 } | |
<image>Find $m \angle ACB$.
Choices:
92
102
136
144 | 136 | |
<image>Find $m \angle 8$.
Choices:
28
28.5
56
57 | 28.5 | |
<image>Find $x$ so that $ m \parallel n $.
Choices:
9
10
11
12 | 9 | |
<image>For the pair of similar figures, use the given areas to find $x$.
Choices:
6.0
10.4
31.2
54.0 | 10.4 | |
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
Choices:
70.0
75.0
80.0
85.0 | 80.0 | |
<image>parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle N$
Choices:
30
45
60
120 | 120 | |
<image>Given right triangle $XYZ$ with hypotenuse $\overline{XY}$, $YP$ is equal to $YZ$. If $m ∠PYZ = 26$, find $m ∠XZP$.
Choices:
13
26
32
64 | 13 | |
<image>Points $S$, $T$, and $U$ are the midpoints of $\overline{DE}$, $\overline{EF}$, and $\overline{DF}$, respectively. Find $x$.
Choices:
4
4.5
5
5.5 | 4 | |
<image>Circle $A$ has diameters $\overline{D F}$ and $\overline{P G}$
If $P A=7,$ find $P G$
Choices:
7
14
28
35 | 14 | |
<image>Use rhombus $A B C D$ with $m \angle 1=2 x+20, m \angle 2=5 x-4$, $A C=15,$ and $m \angle 3=y^{2}+26 .$
Find x
Choices:
2
4
6
8 | 8 | |
<image>Find the value of $s$ in the parallelogram.
Choices:
6
8
13
14 | 13 | |
<image>Find z.
Choices:
\frac { 2 } { 5 } \sqrt { 11 }
\frac { 4 } { 5 } \sqrt { 11 }
\frac { 22 } { 5 }
\frac { 44 } { 5 } | \frac { 22 } { 5 } | |
<image>Find x.
Choices:
15
\sqrt { 285 }
17
2 \sqrt { 285 } | \sqrt { 285 } | |
<image>Find $x$.
Choices:
5
8
10
12 | 10 | |
<image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $m \angle P L K=110,$ find $m \angle L K M$
Choices:
45
70
110
140 | 140 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
25
39.0
43.3
45 | 39.0 | |
<image>Find $m\angle M$
Choices:
30
60
120
150 | 30 | |
<image>Refer to the figure at the right. Find the value of $m ∠ ABD $ if $ p \parallel q $.
Choices:
65
70
75
80 | 75 | |
<image>Find $x$ if $\overline{AD}$ is an altitude of $\triangle ABC$.
Choices:
12
18
22
24 | 24 | |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
3.2
6.4
12.8
16 | 12.8 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
294
315
336
357 | 315 | |
<image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
3
6
9
12 | 3 | |
<image>Find x. Round to the nearest hundredth.
Choices:
8.63
9.68
16.93
41.85 | 16.93 | |
<image>Find the diameter of circle M.
Choices:
10.5
27.5
38.0
42.5 | 38.0 | |
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
20
40
60
80 | 20 | |
<image>For trapezoid $J K L M, A$ and $B$ are midpoints of the legs. If $A B=57$ and $K L=21,$ find $J M$
Choices:
21
57
87
93 | 93 | |
<image>Find the perimeter of the figure. Round to the nearest tenth if necessary.
Choices:
28
56
112
164 | 56 | |
<image>Find $y$.
Choices:
35
36
66
78 | 35 | |
<image>If $ABCDE \sim PQRST,$ find the scale factor of $ABCDE$ to $PQRST$.
Choices:
\frac { 4 } { 3 }
2
\frac { 8 } { 3 }
4 | \frac { 4 } { 3 } | |
<image>Find the measure of $∠T$ to the nearest tenth.
Choices:
25.5
28.5
61.5
64.5 | 28.5 | |
<image>Find y
Choices:
\frac { 17 \sqrt { 2 } } { 2 }
\frac { 19 \sqrt { 2 } } { 2 }
\frac { 21 \sqrt { 2 } } { 2 }
\frac { 23 \sqrt { 2 } } { 2 } | \frac { 19 \sqrt { 2 } } { 2 } | |
<image>Find x. Round side measures to the nearest tenth.
Choices:
26.0
30.0
34.1
39.4 | 30.0 | |
<image>Find y
Choices:
4 \sqrt { 3 }
8
8 \sqrt { 3 }
16 | 8 \sqrt { 3 } | |
<image>Polygon $BCDE$ $\cong$ polygon $RSTU$. Find $w$.
Choices:
3
10
20
42 | 10 | |
<image>Find $m\angle D$
Choices:
45
79
101
182 | 101 | |
<image>Find $y$ so that the quadrilateral is a parallelogram
Choices:
9
12
15.5
31 | 15.5 | |
<image>Find $JL$.
Choices:
7
8
12
15 | 12 | |
<image>Find $m \angle 4$.
Choices:
26
39
55
62 | 55 | |
<image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
8
40
80
160 | 8 | |
<image>If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $MN$.
Choices:
9
12
15
16 | 12 | |
<image>Find the area of the figure. Round to the nearest tenth, if necessary.
Choices:
740
840
1050
1540 | 1050 | |
<image>If $m∠2 = 4x + 7$ and $m∠7 = 5x - 13$, find $x$.
Choices:
6
19
20
21 | 20 | |
<image>If $m\angle BAD = 38$ and $m\angle BCD = 50$, find $m\angle ADC$.
Choices:
12
34
56
146 | 146 | |
<image>For trapezoid $T R S V, M$ and $N$ are midpoints of the legs. If $V S=21$ and $T R=44,$ find $M N$
Choices:
21
32.5
44
65 | 32.5 | |
<image>Find the exact circumference of the circle below.
Choices:
16 \pi
32 \pi
128 \pi
256 \pi | 32 \pi | |
<image>In the figure, $m∠4 = 101$. Find the measure of $\angle 5$.
Choices:
69
79
89
101 | 79 | |
<image>Find $x$.
Choices:
3
4
5
6 | 6 | |
<image>If $A D=24,$ find $C N$
Choices:
12
36
48
60 | 12 | |
<image>In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ .
Find $m \angle G M E$
Choices:
57
66
89
155 | 57 | |
<image>Find $WT$, if $ZX = 20$ and $TY = 15$
Choices:
5
15
20
35 | 5 | |
<image>If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and $KH = 2x + 3$, find $x$ so that the quadrilateral is a parallelogram.
Choices:
4
5
10
12 | 4 | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
72
99
126
198 | 99 | |
<image>Find x so that $GJ \parallel FK$. GF = 12, HG = 6, HJ = 8, JK = x - 4.
Choices:
12
16
18
20 | 20 | |
<image>Find x. Round the side measure to the nearest tenth.
Choices:
10.5
15.0
35.2
50.6 | 50.6 | |
<image>The segment is tangent to the circle. Find $x$.
Choices:
6
8
9
12 | 9 | |
<image>Quadrilateral MNOP is a rectangle. If $M O=6 x+14$ and $P N=9 x+5,$ find $x$
Choices:
3
6
9
12 | 3 | |
<image>In $\triangle JKL$, $PT=2$. Find $KP$.
Choices:
2
4
6
8 | 4 | |
<image>If $\angle R S T$ is a right angle, $\overline{SU} \perp \overline{RT}$, $\overline{UV} \perp \overline{ST},$ and $m \angle RT S=47,$ find $m \angle R$
Choices:
25
33
40
43 | 43 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
268
288
320
360 | 288 | |
<image>In $\odot C$, $m \angle HCG=2x$ and $m \angle HCD=6x+28$, find $m \widehat {HD}$.
Choices:
128
134
142
166 | 142 | |
<image>Find $m \angle 1$.
Choices:
42
72
108
120 | 108 | |
<image>MNQR is a rectangle. If $N R=2 x+10$ and $N P=2 x-30$
find $M P$
Choices:
10
20
30
40 | 40 | |
<image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
\sqrt { 3 }
\sqrt { 7 }
\sqrt { 21 }
\sqrt { 147 } | \sqrt { 147 } | |
<image>$\overline{GJ}$ is a diameter of $\odot K$. Find $m \widehat {GH}$.
Choices:
58
61
116
122 | 122 | |
<image>Find the area of the trapezoid.
Choices:
234
273
286
312 | 273 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
7
12
\sqrt { 193 }
14 | \sqrt { 193 } | |
<image>Find the perimeter of each polygon for the given information.
Choices:
2
10
30
60 | 60 | |
<image>If $\overline{W P}$ is a median and an angle bisector, $A P=3 y+11$, $P H=7 y-5$, $m \angle H W P=x+12$, $m \angle P A W=3 x-2$, and $m \angle H W A=4 x-16$, find $x$.
Choices:
20
24
28
32 | 20 | |
<image>Find x.
Choices:
2 \sqrt { 21 }
20 \sqrt { 2 }
2 \sqrt { 221 }
22 \sqrt { 2 } | 2 \sqrt { 221 } | |
<image>Use parallelogram JKLM to find $a$ if $J K=2 b+3$ and $J M=3 a$.
Choices:
7
14
21
45 | 7 | |
<image>Find $CD$.
Choices:
2
4
8
12 | 4 | |
<image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
Choices:
41.1
82.2
154.2
267.3 | 154.2 | |
<image>Find $z$ in the figure.
Choices:
16
36
42
48 | 42 | |
<image>Find the perimeter of $\triangle Q R S$ if $\triangle Q R S \sim \triangle Q T P$
Choices:
9
14
21
42 | 14 | |
<image>In the figure, $\triangle FGH$ is a right triangle with hypotenuse $\overline{FH}$ and $GJ = GH$. What is the measure of $∠JGH$?
Choices:
28
56
62
104 | 56 |
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