WaltonFuture/VQA-MultiTask-Test · Datasets at Fast360

images images listlengths 1 1	problem stringlengths 13 619	answer stringclasses 364 values
	<image>Find $a$ in the given parallelogram	9
	<image>Find $m\angle B$	120
	<image>Find GH in the kite	\sqrt { 369 }
	<image>Find the value of the variable $x$ in the figure.	125
	<image>Refer to the figure at the right. Find the value of $m ∠FCE$ if $ p \parallel q $.	105
	<image>What is the measure of $\angle B$ if $m \angle A=10 ?$	30
	<image>Express the ratio of $\cos N$ as a decimal to the nearest hundredth.	0.38
	<image>Find $m \angle R$	29.1
	<image>Find $x$.	8
	<image>Find the area of the figure. Round to the nearest tenth.	50.2
	<image>Find y.	21 \sqrt { 3 }
	<image>Find the area of the shaded sector. Round to the nearest tenth.	182.6
	<image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle J$.	106
	<image>Find x.	12
	<image>$ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m \angle ABD = 24$, Find $m\angle BDA$	24
	<image>Find $y$.	12
	<image>Find the value of $x$ in each diagram	68
	<image>Find $m \angle RST$.	55
	<image>$∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\angle 7$.	90
	<image>Find the measure of $m\angle 1$. Assume that segments that appear tangent are tangent.	129
	<image>Let $\overline{G H}$ be the median of $R S B A .$ Find $G H$	62
	<image>Use parallelogram PQRS to find $QP$	5
	<image>Quadrilateral $WXYZ$ is inscribed in $\odot V$. Find $m \angle X$.	120
	<image>Find the height of the parallelogram given its area with 2000 square units.	40
	<image>Find $m \angle A$ of quadrilateral ABCD	135
	<image>Find y	10
	<image>Find the measure of the altitude drawn to the hypotenuse.	4 \sqrt { 3 }
	<image>Find the area of the shaded region. Round to the nearest tenth.	157.1
	<image>Find x. Round to the nearest tenth.	30.7
	<image>Find $y$ in each figure.	6
	<image>Find $m \angle S$.	34
	<image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠13$.	55
	<image>Find x.	3 \sqrt { 35 }
	<image>Quadrilateral EFGH is a rectangle. If $m \angle HGE = 13$, find $m\angle FGE$.	77
	<image>Find x in the parallelogram	37
	<image>Find the side length in isosceles triangle $DEF$.	11
	<image>Find the length of $\widehat {JK}$. Round to the nearest hundredth.	13.74
	<image>Use parallelogram to find $b$	11
	<image>If PR \|\| KL, KN = 9, LN = 16, PM = 2 KP, find MN	12
	<image>Find $x$. Round to the nearest tenth.	14.1
	<image>Find the area of the rhombus.	132
	<image>Find TX if $E X=24$ and $D E=7$	32
	<image>Find $m \widehat {LP}$.	150
	<image>Express the ratio of $\sin N$ as a decimal to the nearest hundredth.	0.92
	<image>Find x.	1
	<image>Find the area of the figure. Round to the nearest hundredth, if necessary.	4.8
	<image>Find $x$.	3.5
	<image>Use parallelogram ABCD to find $m\angle ADC$	128
	<image>Find the measure of $\angle 3$ if $\overline{A B} \perp \overline{B C}$.	76
	<image>In $\triangle DEF, m \angle E=108, m \angle F=26$, and $f=20$, Find $d$ to the nearest whole number.	33
	<image>Find $y$ so that each quadrilateral is a parallelogram.	4
	<image>Find $m \angle 4$.	33
	<image>Find $cos C$	\frac { 4 } { 5 }
	<image>In rhombus $A B C D, m \angle D A B=2, m \angle A D C$ and $C B=6$. Find $m \angle A C D$	60
	<image>Find AB	10
	<image>Find $x$ in the figure.	14
	<image>Circle $O$ has a radius of 13 inches. Radius $\overline{O B}$ is perpendicular to chord $\overline{C D}$ which is 24 inches long. If $m \widehat{C D}=134,$ find $m \widehat{C B}$	67
	<image>In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $FG$.	48
	<image>Cut four congruent triangles off the corners of a rectangle to make an octagon. What is the area of the octagon?	528
	<image>Find $m\angle A$	60
	<image>Use parallelogram JKLM to find $m \angle KJL$ if $J K=2 b+3$ and $J M=3 a$.	30
	<image>Find x.	\frac { 17 } { 2 } \sqrt { 3 }
	<image>Find $XZ$.	34
	<image>Find $XW$.	12
	<image>Find x so that $GJ \parallel FK$. $G H=x+3.5, H J=x-8.5, F H=21, H K=7$.	14.5
	<image>In $\odot P, m \angle M P L=65$ and $\overline{N P} \perp \overline{P L}$. Find $m \widehat{N J K}$	155
	<image>A square is inscribed in a circle having a radius of $6$ inches. Find the length of each side of the square.	6 \sqrt 2
	<image>One diagonal of a rhombus is twice as long as the other diagonal. If the area of the rhombus is 169 square millimeters, what are the lengths of the diagonals?	26
	<image>Find x	9
	<image>If $AB=12,AC=16$, and $ED=5$, find $AE$.	15
	<image>Find $x$ so that $\overline{BE}$ and $\overline{AD}$ are perpendicular.	10
	<image>Find DE	9
	<image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth.	76.4
	<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 7$.	64
	<image>Find $BC$.	9
	<image>Find $m \angle 1$.	37.5
	<image>Express the ratio of $\sin P$ as a decimal to the nearest hundredth.	0.88
	<image>Find $x$. $A=357$ in$^2$.	21
	<image>Find $x$ so that $a ∥ b$.	14
	<image>$\overline{GJ}$ is a diameter of $\odot K$. Find $m \widehat {GLJ}$.	180
	<image>Find $C F$ if $\overline{B F}$ bisects $\angle A B C$ and $\overline{A C} \\| \overline{E D}, B A=6, B C=7.5$, $A C=9,$ and $D E=9$	5
	<image>Find $m \angle K$	100
	<image>Find the value of the variable $y$ in the figure.	50
	<image>Find the value of $t$ in the parallelogram.	7
	<image>Find the perimeter of the triangle. Round to the nearest hundredth.	8.73
	<image>The segment is tangent to the circle. Find the value of $x$.	3
	<image>Find the area of the shaded region. Round to the nearest tenth.	58.9
	<image>Find the measure of $m \widehat{YXZ}$.	166
	<image>Find x.	14
	<image>Find $y$.	2
	<image>Find x.	8 \sqrt { 5 }
	<image>Find y.	48
	<image>Use parallelogram WXYZ to find $m\angle XYZ$	105
	<image>Find $x$.	9.5
	<image>Find the measure of $m\angle 2$. Assume that segments that appear tangent are tangent.	157.5
	<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.	64
	<image>Quadrilateral DEFG is a rectangle. If $m \angle EFD = 2x - 3$ and $m \angle DFG = x + 12$, find $m \angle EFD$.	51
	<image>Find y	4 \sqrt { 2 }
	<image>Circle $O$ has a radius of 13 inches. Radius $\overline{O B}$ is perpendicular to chord $\overline{C D}$ which is 24 inches long. Find OX	5
	<image>Find the area of $▱ JKLM$.	24

<image>Find $a$ in the given parallelogram

9

<image>Find $m\angle B$

120

<image>Find GH in the kite

\sqrt { 369 }

<image>Find the value of the variable $x$ in the figure.

125

<image>Refer to the figure at the right. Find the value of $m ∠FCE$ if $ p \parallel q $.

105

<image>What is the measure of $\angle B$ if $m \angle A=10 ?$

30

<image>Express the ratio of $\cos N$ as a decimal to the nearest hundredth.

0.38

<image>Find $m \angle R$

29.1

<image>Find $x$.

8

<image>Find the area of the figure. Round to the nearest tenth.

50.2

<image>Find y.

21 \sqrt { 3 }

<image>Find the area of the shaded sector. Round to the nearest tenth.

182.6

<image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle J$.

106

<image>Find x.

12

<image>$ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m \angle ABD = 24$, Find $m\angle BDA$

24

<image>Find $y$.

12

<image>Find the value of $x$ in each diagram

68

<image>Find $m \angle RST$.

55

<image>$∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\angle 7$.

90

<image>Find the measure of $m\angle 1$. Assume that segments that appear tangent are tangent.

129

<image>Let $\overline{G H}$ be the median of $R S B A .$ Find $G H$

62

<image>Use parallelogram PQRS to find $QP$

5

<image>Quadrilateral $WXYZ$ is inscribed in $\odot V$. Find $m \angle X$.

120

<image>Find the height of the parallelogram given its area with 2000 square units.

40

<image>Find $m \angle A$ of quadrilateral ABCD

135

<image>Find y

10

<image>Find the measure of the altitude drawn to the hypotenuse.

4 \sqrt { 3 }

<image>Find the area of the shaded region. Round to the nearest tenth.

157.1

<image>Find x. Round to the nearest tenth.

30.7

<image>Find $y$ in each figure.

6

<image>Find $m \angle S$.

34

<image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠13$.

55

<image>Find x.

3 \sqrt { 35 }

<image>Quadrilateral EFGH is a rectangle. If $m \angle HGE = 13$, find $m\angle FGE$.

77

<image>Find x in the parallelogram

37

<image>Find the side length in isosceles triangle $DEF$.

11

<image>Find the length of $\widehat {JK}$. Round to the nearest hundredth.

13.74

<image>Use parallelogram to find $b$

11

<image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find MN

12

<image>Find $x$. Round to the nearest tenth.

14.1

<image>Find the area of the rhombus.

132

<image>Find TX if $E X=24$ and $D E=7$

32

<image>Find $m \widehat {LP}$.

150

<image>Express the ratio of $\sin N$ as a decimal to the nearest hundredth.

0.92

<image>Find x.

1

<image>Find the area of the figure. Round to the nearest hundredth, if necessary.

4.8

<image>Find $x$.

3.5

<image>Use parallelogram ABCD to find $m\angle ADC$

128

<image>Find the measure of $\angle 3$ if $\overline{A B} \perp \overline{B C}$.

76

<image>In $\triangle DEF, m \angle E=108, m \angle F=26$, and $f=20$, Find $d$ to the nearest whole number.

33

<image>Find $y$ so that each quadrilateral is a parallelogram.

4

<image>Find $m \angle 4$.

33

<image>Find $cos C$

\frac { 4 } { 5 }

<image>In rhombus $A B C D, m \angle D A B=2, m \angle A D C$ and $C B=6$. Find $m \angle A C D$

60

<image>Find AB

10

<image>Find $x$ in the figure.

14

<image>Circle $O$ has a radius of 13 inches. Radius $\overline{O B}$ is perpendicular to chord $\overline{C D}$ which is 24 inches long. If $m \widehat{C D}=134,$ find $m \widehat{C B}$

67

<image>In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $FG$.

48

<image>Cut four congruent triangles off the corners of a rectangle to make an octagon. What is the area of the octagon?

528

<image>Find $m\angle A$

60

<image>Use parallelogram JKLM to find $m \angle KJL$ if $J K=2 b+3$ and $J M=3 a$.

30

<image>Find x.

\frac { 17 } { 2 } \sqrt { 3 }

<image>Find $XZ$.

34

<image>Find $XW$.

12

<image>Find x so that $GJ \parallel FK$. $G H=x+3.5, H J=x-8.5, F H=21, H K=7$.

14.5

<image>In $\odot P, m \angle M P L=65$ and $\overline{N P} \perp \overline{P L}$. Find $m \widehat{N J K}$

155

<image>A square is inscribed in a circle having a radius of $6$ inches. Find the length of each side of the square.

6 \sqrt 2

<image>One diagonal of a rhombus is twice as long as the other diagonal. If the area of the rhombus is 169 square millimeters, what are the lengths of the diagonals?

26