images images listlengths 1 1 | problem stringlengths 30 291 | answer stringlengths 1 34 |
|---|---|---|
<image>Find the area of the shaded region. Assume the inscribed polygon is regular.
Choices:
8.6
17.2
25.8
44.4 | 25.8 | |
<image>ABCD is a trapezoid.
If $m\angle ABC = 4x + 11$ and $m\angle DAB = 2x + 33$, find the value of $x$ so that ABCD is isosceles.
Choices:
11
30
44
55 | 11 | |
<image>Find x.
Choices:
10
10 \sqrt { 2 }
10 \sqrt { 3 }
20 | 10 | |
<image>In the figure, $m∠3 = 43$. Find the measure of $\angle 13$.
Choices:
33
43
53
63 | 43 | |
<image>If $BT = 5$ and $TC = 8$, find $CD$.
Choices:
\sqrt { 89 }
25
35
64 | \sqrt { 89 } | |
<image>Find $z$.
Choices:
12
13
14
15 | 14 | |
<image>Triangle $A D C$ is circumscribed about $\odot O .$ Find the perimeter of $\triangle A D C$ if $E C=D E+A F$
Choices:
6
19
25
100 | 100 | |
<image>Find y.
Choices:
30
60
90
120 | 30 | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
88.9
128.1
165.6
206.7 | 128.1 | |
<image>For the pair of similar figures, use the given areas to find $x$.
Choices:
2.6
6.0
32.7
76.2 | 6.0 | |
<image>Find $x$.
Choices:
8
13
18
23 | 18 | |
<image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
12
24
48
72 | 24 | |
<image>Use parallelogram WXYZ to find $m\angle WZY$
Choices:
65
75
105
180 | 75 | |
<image>Find x.
Choices:
5
5 \sqrt { 2 }
5 \sqrt { 3 }
10 | 5 \sqrt { 2 } | |
<image>$a=14, b=48,$ and $c=50$ find $cosB$
Choices:
0.02
0.28
0.48
0.62 | 0.28 | |
<image>Find $h$.
Choices:
\frac { 15 \sqrt { 3 } } { 2 }
15
15 \sqrt 2
15 \sqrt 3 | 15 \sqrt 3 | |
<image>Find $x$.
Choices:
90
110
130
140 | 140 | |
<image>Find $y$ in the figure.
Choices:
12
26.3
28
168 | 26.3 | |
<image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{A B}$
Choices:
30
60
90
155 | 30 | |
<image>For the pair of similar figures, find the area of the green figure.
Choices:
7.7
13.9
45
81 | 81 | |
<image>Find $SR$.
Choices:
3
4
5
6 | 4 | |
<image>Find the measure of $\angle 2$.
Choices:
25
35
45
55 | 25 | |
<image>Find WX
Choices:
6
8
10
12 | 10 | |
<image>Use parallelogram ABCD to find BC
Choices:
6
9
12
18 | 9 | |
<image>Find the scale factor from $W$ to $W'$.
Choices:
0.4
0.6
0.8
1 | 0.6 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
92
210
420
525 | 420 | |
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
2
3
4
5 | 5 | |
<image>Find $m \angle 4$.
Choices:
28
38
52
62 | 52 | |
<image>Find AE
Choices:
3
4
6
11 | 4 | |
<image>Find $x$.
Choices:
5
10
20
100 | 10 | |
<image>Find x.
Choices:
18
20
22
24 | 20 | |
<image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 3$ at vertex $C$.
Choices:
22
26
27
28 | 26 | |
<image>In rhombus LMPQ, $m \angle Q L M=2 x^{2}-10$, $m \angle Q P M=8 x$, and $M P=10$ .
Find $m \angle L P Q$
Choices:
20
30
45
60 | 20 | |
<image>If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and
$KH = 2x + 3$, find $y$ so that the quadrilateral is a parallelogram.
Choices:
1
2.5
3
5 | 2.5 | |
<image>Find $m \angle PQS$.
Choices:
36
42
48
63 | 42 | |
<image>In $\odot D, \overline{D E} \cong \overline{E C}, m \widehat{C F}=60,$ and
$\overline{D E} \perp \overline{E C} .$ Find $m \widehat{A F}$
Choices:
30
60
90
120 | 120 | |
<image>Express the ratio of $\tan X$ as a decimal to the nearest hundredth.
Choices:
0.28
0.29
0.96
3.43 | 3.43 | |
<image>Find the value of $x$ in each diagram
Choices:
44
49
88
132 | 44 | |
<image> In the figure, below, square $A B C D$ is attached to $\triangle A D E$ as shown. If $m \angle E A D$ is $30^{\circ}$ and $A E$ is equal to $4 \sqrt{3}$, then what is the area of square $A B C D $?
Choices:
8 \sqrt 3
16
64
64 \sqrt 2 | 64 | |
<image>The area $A$ of the shaded region is given. Find $x$. $A = 128$ ft$^2$ .
Choices:
4.9
6.4
9.8
19.6 | 9.8 | |
<image>isosceles trapezoid TWYZ with $\angle Z \cong \angle Y, m \angle Z=30 x$, $\angle T \cong \angle W,$ and $m \angle T=20 x$, find Z
Choices:
62
72
108
118 | 108 | |
<image>Find x
Choices:
20
45
65
130 | 20 | |
<image>$\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {HGK}$.
Choices:
121
160
180
200 | 180 | |
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
Choices:
24
48
56
96 | 48 | |
<image>$\Delta DFG$ and $\Delta F G H$ are isosceles, $m \angle FDH=28$ and$\overline{DG} \cong \overline{FG} \cong \overline{FH}$. Find the measure of $\angle DFG$.
Choices:
22
24
26
28 | 28 | |
<image>Find the circumference of the figure. Round to the nearest tenth.
Choices:
9.4
18.8
28.3
37.7 | 18.8 | |
<image>Find y.
Choices:
5
5 \sqrt { 2 }
5 \sqrt { 3 }
10 | 5 \sqrt { 3 } | |
<image>Find the perimeter of the $\triangle DEF$, if $\triangle ABC \sim \triangle DEF$, $AB=5, BC=6, AC=7$, and $DE=3$.
Choices:
6
10.2
10.8
13 | 10.8 | |
<image>Find z.
Choices:
\frac { \sqrt { 2 } } { 3 }
\frac { \sqrt { 5 } } { 3 }
\sqrt { 2 }
\sqrt { 5 } | \frac { \sqrt { 2 } } { 3 } | |
<image>Find y
Choices:
8
8 \sqrt { 3 }
16
16 \sqrt { 3 } | 16 | |
<image>$\overline{QS}$ is a diameter of $\odot V$. Find $m \widehat {PQR}$.
Choices:
123
144
147
150 | 123 | |
<image>Find x
Choices:
10
12
15
16 | 15 | |
<image>Find x. Round side measures to the nearest tenth.
Choices:
10.8
15.1
19.1
26.9 | 15.1 | |
<image>Find $x$.
Choices:
4
6
8
12 | 6 | |
<image>The segment is tangent to the circle. Find $x$.
Choices:
4
5
7
9 | 4 | |
<image>Find $LP$.
Choices:
7
10
12
15 | 15 | |
<image>Find $y$ in the figure.
Choices:
22
24
26
28 | 28 | |
<image>Solve for $x$.
Choices:
3
4
5
6 | 5 | |
<image>If $x=7 \sqrt{3},$ find $CE$
Choices:
7
14
21
14 \sqrt { 3 } | 21 | |
<image>In the figure, $ \overline{GK} \cong \overline{GH}$ and $ \overline{HK} \cong \overline{KJ}$. If $m \angle HGK=28$, find $m \angle HJK$.
Choices:
38
42
46
56 | 38 | |
<image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
12
45
55
60 | 12 | |
<image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
7.5
37.4
130.6
270.4 | 37.4 | |
<image>Find $x$.
Choices:
3
9
23
27 | 9 | |
<image>Find $x$.
Choices:
5.5
11
16.5
22 | 11 | |
<image>What is the measure of an interior angle of a regular pentagon?
Choices:
96
108
120
135 | 108 | |
<image>What is the total area of the figure?
Choices:
30
184
338
368 | 368 | |
<image>Triangle $LMN$ is equilateral, and $\overline{MP}$ bisects $\overline{LN}$. Find $x$.
Choices:
3
4
5
6 | 3 | |
<image>Find $x$.
Choices:
24
27
72
112 | 27 | |
<image>In rhombus $A B C D, m \angle D A B=2, m \angle A D C$ and $C B=6$. Find DA
Choices:
3
6
9
12 | 6 | |
<image>Find y in the figure.
Choices:
5
6
25
36 | 5 | |
<image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find SV
Choices:
10
15
20
45 | 10 | |
<image>Find z.
Choices:
4
6
9
36 | 6 | |
<image>$m \angle BAC=40, m \angle DAC=40,$ and $DC=10,$ find $BC$.
Choices:
10
20
30
40 | 10 | |
<image>In $\odot F$, if $DA=7.4$, what is $EF$?
Choices:
3.7
7.4
11.1
14.8 | 3.7 | |
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
14
16
18
20 | 14 | |
<image>Find $m\angle E$
Choices:
56
80
126
130 | 126 | |
<image>In the figure, $\overline{FJ} \cong \overline{FH}$ and $\overline{GF} \cong \overline{GH}$. If $m∠JFH=34$, find $m∠J$.
Choices:
34
73
112
146 | 73 | |
<image>Find x
Choices:
17.1
18.9
21.2
32.3 | 17.1 | |
<image>Find $x$.
Choices:
25
30
35
45 | 25 | |
<image>Find x in the figure below. Round your answer to the nearest tenth if necessary.
Choices:
91.9
93.9
95.9
97.9 | 93.9 | |
<image>Express the ratio of $\tan V$ as a decimal to the nearest hundredth.
Choices:
0.28
0.29
0.96
3.43 | 0.29 | |
<image>Find the area of the shaded region. Assume that the triangle is equilateral.
Choices:
20.8
29.5
50.3
71.1 | 29.5 | |
<image>In $\triangle A B C, C D$ is an altitude and $m \angle A C B=90^{\circ}$ If $A D=12$ and $B D=3,$ find $A C$ to the nearest tenth.
Choices:
6.5
9.0
13.4
15.0 | 13.4 | |
<image>If $\overline{E C}$ is an altitude of $\triangle A E D, m \angle 1=2 x+7,$ and $m \angle 2=3 x+13,$ find $m \angle 1$.
Choices:
25
35
45
55 | 35 | |
<image>Find z.
Choices:
2 \sqrt { 3 }
6
6 \sqrt { 2 }
6 \sqrt { 3 } | 6 \sqrt { 3 } | |
<image>Find $VS$.
Choices:
5
12
15
20 | 20 | |
<image>A regular hexagon is inscribed in a circle with a diameter of 14. Find the area of the red segment.
Choices:
4.44
8.88
21.22
25.66 | 4.44 | |
<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {CGD}$.
Choices:
55
275
295
305 | 305 | |
<image>Find the measure of $\angle 2$ in the figure.
Choices:
105
110
115
120 | 105 | |
<image>Find the scale factor from $W$ to $W'$.
Choices:
0.75
1.25
1.5
1.75 | 0.75 | |
<image>Find x
Choices:
21.1
23.4
38.4
45.3 | 38.4 | |
<image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
21
30
42
84 | 21 | |
<image>Find $x$.
Choices:
5
10
15
20 | 15 | |
<image>Find SC
Choices:
3
7
21
42 | 21 | |
<image>Find AC
Choices:
7.6
7.8
9.6
11 | 9.6 | |
<image>Find y.
Choices:
9
6 \sqrt { 3 }
18
18 \sqrt { 3 } | 6 \sqrt { 3 } | |
<image>Find the value of the variable $x$ in the figure.
Choices:
30
40
50
60 | 40 | |
<image>Find the measure of $RS$ of equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$.
Choices:
6
9
12
18 | 18 | |
<image>$MC=7,RM=4$, and $AT=16$. Find $RB$.
Choices:
6
8
12
15 | 12 | |
<image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
6
12
24
30 | 6 |
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