images images listlengths 1 1 | problem stringlengths 30 291 | answer stringclasses 668 values |
|---|---|---|
<image>In the figure, $m∠1 = 94$. Find the measure of $\angle 3$.
Choices:
76
86
94
96 | 94 | |
<image>$a=8, b=15,$ and $c=17$ find $cosB$
Choices:
0.43
0.47
0.53
0.57 | 0.47 | |
<image>Find AB
Choices:
12
24
48
60 | 60 | |
<image>Find x. Round the side measure to the nearest tenth.
Choices:
14.3
17.4
96.5
117.6 | 117.6 | |
<image>$m∠4 = 32$. Find the measure of $\angle 5$.
Choices:
32
58
68
90 | 58 | |
<image>Find $x$.
Choices:
10
20
30
40 | 40 | |
<image>What is the area of the shaded region if $r=4$.
Choices:
16 - 16 \pi
16 - 8 \pi
64 - 16 \pi
64 - 8 \pi | 64 - 16 \pi | |
<image>Find $m\angle A$
Choices:
45
90
180
360 | 90 | |
<image>Find $x$.
Choices:
35
55
70
110 | 70 | |
<image>Find $z$.
Choices:
15
18
20
24 | 20 | |
<image>Find x.
Choices:
\frac { 14 \sqrt { 3 } } { 3 }
7 \sqrt { 2 }
14
14 \sqrt { 3 } | \frac { 14 \sqrt { 3 } } { 3 } | |
<image>In the figure, $m ∠9 = 75$. Find the measure of $\angle 8$.
Choices:
75
85
95
105 | 105 | |
<image>Find $m\angle Z$
Choices:
18
36
72
144 | 144 | |
<image>Find the measure of $\angle DFB$ on $\odot F$ with diameter $\overline{AC} $.
Choices:
163
165
167
169 | 165 | |
<image>Find x.
Choices:
\frac { 13 } { 2 }
\frac { 13 \sqrt { 2 } } { 2 }
\frac { 13 \sqrt { 3 } } { 2 }
13 \sqrt { 2 } | \frac { 13 \sqrt { 2 } } { 2 } | |
<image>Find the measure of $\angle 3$.
Choices:
47
49
55
57 | 49 | |
<image>Find $x$.
Choices:
12
16
20
29 | 20 | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
36
120
156
192 | 156 | |
<image>Find the perimeter of $\triangle C P D$ if the perimeter of $\triangle B P A$ is 12 $, B M=\sqrt{13},$ and $C N=3 \sqrt{13}$
Choices:
6
12
24
36 | 36 | |
<image>$P$ is the incenter of $\triangle AEC$. Find $m \angle DAC$.
Choices:
28.5
30
31
33 | 33 | |
<image>Find $m \angle JMK$.
Choices:
79
101
102
103 | 102 | |
<image>Find $x$.
Choices:
2
3
5
6 | 6 | |
<image>$JKMN$ is a rectangle. If $NQ=2x+3$ and $QK=5x-9$, find $JQ$.
Choices:
4
6
9
11 | 11 | |
<image>Find x.
Choices:
13
14
15
16 | 15 | |
<image>Find the value of the variable $y$ in the figure.
Choices:
14
16.7
42
86 | 14 | |
<image>Find $RT$.
Choices:
12
15
16
20 | 15 | |
<image>Find y
Choices:
2.2
3
5
6 | 3 | |
<image>Find the value of x.
Choices:
1.02
2.04
4.08
8.17 | 4.08 | |
<image>$\odot P$ is inscribed in equilateral triangle $LMN$. What is the circumference of $\odot P$?
Choices:
\frac { 8 } { 3 } \pi
\frac { 8 } { \sqrt 3 } \pi
8 \sqrt 3 \pi
24 \pi | \frac { 8 } { \sqrt 3 } \pi | |
<image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle LNM$.
Choices:
18
20
21
25 | 20 | |
<image>If $\overline{M N} \| \overline{P Q}$, use a proportion to find the value of $x$.
Choices:
5
8
10
12 | 10 | |
<image>Find $x$. (Hint: Draw an auxiliary line.)
Choices:
105
120
125
130 | 130 | |
<image>Find $m\angle 3$
Choices:
32
64
128
148 | 32 | |
<image>If $b=18,$ find $c$
Choices:
9
6 \sqrt { 3 }
18
12 \sqrt { 3 } | 12 \sqrt { 3 } | |
<image>Use parallelogram NQRM to find w
Choices:
4
12
14
29 | 12 | |
<image>Solve for $x$ in the figure below.
Choices:
31
59
65
115 | 31 | |
<image>Find y.
Choices:
6
12
6 \sqrt { 6 }
12 \sqrt { 3 } | 12 | |
<image>If $D E=60$ and $F C=16,$ find $A B$
Choices:
16
34
60
68 | 68 | |
<image>The height of a triangle is 5 centimeters more than its base. The area of the triangle is 52 square centimeters. Find the base.
Choices:
5.1
8
9.9
13 | 8 | |
<image>Points $S$, $T$, and $U$ are the midpoints of $\overline{DE}$, $\overline{EF}$, and $\overline{DF}$, respectively. Find $z$.
Choices:
0.383
0.575
1.15
2.875 | 0.575 | |
<image>Find x
Choices:
20
37.5
42.5
45 | 42.5 | |
<image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{B C}$
Choices:
30
45
60
90 | 60 | |
<image>Find $b$.
Choices:
15
18
24
27 | 18 | |
<image>Find $SR$.
Choices:
12
24
27
28 | 24 | |
<image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
31.2
62.4
124.8
144 | 62.4 | |
<image>In the figure, $m ∠9 = 75$. Find the measure of $\angle 12$.
Choices:
75
85
95
105 | 105 | |
<image>Find x.
Choices:
\frac { 4 } { 9 }
\frac { 4 } { 9 } \sqrt { 2 }
\frac { 4 } { 9 } \sqrt { 3 }
\frac { 4 } { 9 } \sqrt { 5 } | \frac { 4 } { 9 } \sqrt { 3 } | |
<image>If QRST is a parallelogram, find $x$
Choices:
5.4
9
11
13 | 5.4 | |
<image>Find the measure of $m \widehat{GH}$.
Choices:
28
56
84
112 | 56 | |
<image>Find y. Round to the nearest tenth.
Choices:
5.5
8.6
10.9
11.7 | 11.7 | |
<image>WXYZ is a square. If $WT = 3$, Find $XY$
Choices:
3
3 \sqrt { 2 }
6
10 | 3 \sqrt { 2 } | |
<image> In $\odot Z, P Z=Z Q$, $X Y=4 a-5,$ and $S T=-5 a+13$
Find $S Q$
Choices:
1.5
2
3
4 | 1.5 | |
<image>Find x.
Choices:
11.0
11.5
12.0
12.5 | 12.0 | |
<image>Find x.
Choices:
5 \sqrt { 3 }
15
15 \sqrt { 3 }
30 | 5 \sqrt { 3 } | |
<image>Find x
Choices:
\sqrt { 7 }
\sqrt { 21 }
2 \sqrt { 21 }
21 | 2 \sqrt { 21 } | |
<image>Find x
Choices:
5
12
24
26 | 24 | |
<image>Find the perimeter of each polygon for the given information.
$C F=6(3-x), D B=12 y-4$
Choices:
36
72
90
108 | 36 | |
<image>Circle $J$ has a radius of $10$ units, $\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $AB$.
Choices:
12.6
14.6
20.6
30.6 | 14.6 | |
<image>Find the perimeter of the given triangle. $\triangle A B C,$ if $\triangle A B C \sim \triangle C B D, C D=4$, $D B=3,$ and $C B=5$.
Choices:
15
16
18
20 | 20 | |
<image>Find x
Choices:
44.9
46.9
57.1
58.1 | 44.9 | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
56
82.2
164.3
328.6 | 164.3 | |
<image>In $\triangle RST$, $Z$ is the centroid and $RZ=18$. Find $SZ$.
Choices:
5
9
10
18 | 10 | |
<image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠6$.
Choices:
110
115
120
125 | 110 | |
<image>Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$.
Find $m \angle P Q R$
Choices:
60
72
90
108 | 108 | |
<image>Find x to the nearest tenth.
Choices:
5.8
7.25
9.67
29 | 9.67 | |
<image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
30
40
70
85 | 40 | |
<image>Quadrilateral MNOP is a rhombus. If $m\angle PON = 124$, find $m\angle POM$.
Choices:
12
56
62
124 | 62 | |
<image>Find the area of the shaded region. Assume the inscribed polygon is regular.
Choices:
3.3
6.5
12.3
19.6 | 3.3 | |
<image>$\triangle PQS \cong \triangle RQS$. Find $x$.
Choices:
8
12
16
20 | 16 | |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
16.8
19.2
21.6
22.7 | 19.2 | |
<image>Find y in the figure.
Choices:
20
30
40
50 | 40 | |
<image>parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle P$
Choices:
30
45
60
120 | 60 | |
<image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 7$
Choices:
40
45
50
90 | 40 | |
<image>Find x in the parallelogram
Choices:
7
14
15
23 | 7 | |
<image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
\sqrt { 7 }
3
7
7 \sqrt { 3 } | 7 \sqrt { 3 } | |
<image>Each pair of polygons is similar. Find AB
Choices:
1.6
\frac { 16 } { 3 }
6
10 | \frac { 16 } { 3 } | |
<image>Find x
Choices:
7
7 \sqrt { 3 }
14
7 \sqrt { 5 } | 7 \sqrt { 3 } | |
<image>The degree measures of minor arc $\widehat{A C}$ and major arc $\widehat{A D C}$ are $x$ and $y$ respectively. If $m∠ABC = 70°$, find $y$.
Choices:
110
180
250
270 | 250 | |
<image>$\triangle RSV \cong \triangle TVS$. Find $y$.
Choices:
11
11.5
12
12.5 | 12.5 | |
<image>Find z.
Choices:
4 \sqrt { 2 }
4 \sqrt { 3 }
8
8 \sqrt { 3 } | 8 | |
<image>Find x.
Choices:
\frac { 15 } { 2 }
\frac { 15 } { 2 } \sqrt { 2 }
\frac { 15 } { 2 } \sqrt { 3 }
15 \sqrt { 3 } | \frac { 15 } { 2 } \sqrt { 3 } | |
<image>Use a Pythagorean Triple to find x.
Choices:
50
52
54
56 | 50 | |
<image>Find x
Choices:
8 \sqrt { 6 }
20
28
4 \sqrt { 74 } | 4 \sqrt { 74 } | |
<image>Find x
Choices:
6
6.25
6.5
6.75 | 6.75 | |
<image>Find $x$.
Choices:
70
110
140
150 | 150 | |
<image>The diameter of $\odot S$ is $30$ units, the diameter of $\odot R$ is $20$ units, and $DS=9$ units. Find $CD$.
Choices:
4
6
9
12 | 6 | |
<image>Find the measure of $\angle 4$ if $m∠4= m∠5$.
Choices:
32
44
47
53 | 32 | |
<image>For the pair of similar figures, use the given areas to find $x$.
Choices:
8.4
11.3
20.0
26.7 | 20.0 | |
<image>Find the area of $▱EFGH$.
Choices:
64
90
110
127 | 90 | |
<image>Find x.
Choices:
5
10
15
25 | 10 | |
<image>Find x
Choices:
12
26 / 2
\frac { 40 } { 3 }
14 | \frac { 40 } { 3 } | |
<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 11$.
Choices:
57
67
113
123 | 123 | |
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
2.1
2.6
3.1
3.6 | 3.1 | |
<image>Find $m \angle B$.
Choices:
24
36
48
72 | 36 | |
<image>Find the area of the triangle. Round to the nearest hundredth.
Choices:
11.70
23.39
28.52
46.79 | 23.39 | |
<image>Find $WZ$.
Choices:
18
24
30
32 | 30 | |
<image>Find the length of $\widehat {ZY}$. Round to the nearest hundredth.
Choices:
3.76
4.64
5.24
7.28 | 5.24 | |
<image>Find x
Choices:
8
8 \sqrt { 3 }
16
16 \sqrt { 3 } | 8 \sqrt { 3 } | |
<image>Find x.
Choices:
4
6
4 \sqrt { 3 }
8 \sqrt { 3 } | 4 \sqrt { 3 } | |
<image>What is the length of $R T ?$
Choices:
5
5 \sqrt { 2 }
5 \sqrt { 3 }
10 | 5 \sqrt { 2 } |
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