WaltonFuture/VQA-MultiTask-Test · Datasets at Hugging Face

images images listlengths 1 1	problem stringlengths 13 619	answer stringclasses 364 values
	<image>Find $m \angle 1$.	108
	<image>Find $AB$.	4.1
	<image>Find $RS$ if $\triangle QRS$ is an equilateral triangle.	2
	<image>If two sides of a triangle measure 12 and 7, which of the following cannot be the perimeter of the triangle?	38
	<image>Find the area of the triangle. Round to the nearest hundredth.	7.51
	<image>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the radius of the circle.	8.5
	<image>Find $m \angle 1$.	70
	<image>Find $w$ in the given parallelogram	5
	<image>Find $x$.	\frac { 5 } { 3 }
	<image>Find y	5
	<image>If $\triangle L M N \sim \triangle Q R S, Q R=35, R S=37, S Q=12$, and $N L=5$, find the perimeter of $\triangle L M N$.	35
	<image>Find the measure of $\angle 7$ if $m∠4= m∠5$.	89
	<image>$\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $ST$.	14
	<image>If $m∠5 = 7x - 5$ and $m∠4 = 2x + 23$, find $x$.	18
	<image>Find the measure of $\angle 2$.	76
	<image>Use parallelogram ABCD to find $m\angle ACD$	29
	<image>Find $CD$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$	40
	<image>$UJ=9, VJ=3$, and $ZT=18$. Find $SV$.	9
	<image>In $\odot O, \overline{E C}$ and $\overline{A B}$ are diameters, and $\angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A$ Find $m\widehat{A E}$	90
	<image>In $\triangle PQR$, $ZQ=3a-11$, $ZP=a+5$, $PY=2 c-1$, $YR=4 c-11$, $m \angle PRZ=4 b-17$, $m \angle ZRQ=3 b-4$, $m \angle QYR=7 b+6$, and $m \angle PXR=2 a+10$. If $\overline{RZ}$ is an angle bisector, find $m∠PRZ$.	35
	<image>Which segments are parallel?	A D and B E
	<image>Use parallelogram MNPR to find $m \angle RMN$	109
	<image>If WXYZ is a kite, find WP	\sqrt { 20 }
	<image>Find x.	17
	<image>In the figure below, $∠ABC$ is intersected by parallel lines $l$ and $m$. What is the measure of $∠ABC$? Express your answer in degrees.	71
	<image>Find z	6
	<image>If DB = 24, AE = 3, and EC = 18, find AD	4
	<image>Find the measure of $m∠1$.	109
	<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 6$.	70
	<image>Find $x$.	35
	<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.	50
	<image>Use parallelogram ABCD to find $m\angle DAC$	72
	<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 14$.	57
	<image>Use parallelogram $JKLM$ to find $m \angle JKL$.	80
	<image>Refer to the figure at the right. Find y.	6.75
	<image>Find the area of the figure. Round to the nearest tenth if necessary.	95
	<image>Find $x$.	6
	<image>For the pair of similar figures, use the given areas to find $x$.	16
	<image>Find x.	8
	<image>Find $a,$ if $F G=18, G H=42,$ and $F K=15$	57
	<image>Find the area of the figure. Round to the nearest tenth if necessary.	22.1
	<image>Find PT	\frac { 20 } { 3 }
	<image>Find $GD$.	14
	<image>Find the area of the regular polygon figure. Round to the nearest tenth.	101.8
	<image>Find x	120
	<image>Find y.	45
	<image>Find the area of the rhombus.	168
	<image>Find $AB$ if $\triangle ABC$ is an isosceles triangle with $\overline{AB} \cong \overline{BC}$.	7
	<image>Find x. Round the side measure to the nearest tenth.	69.8
	<image>Circle $J$ has a radius of $10$ units, $\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $JK$.	12.6
	<image>The perimeter of this polygon is 60 centimeters. Find the length of each side of the polygon.	12
	<image>If $XN=6,XM=2$, and $XY=10$, find $NZ$.	24
	<image>Find $x$	1
	<image>Find BC	6
	<image>Find $x$.	30
	<image>Find $\widehat{\mathrm{WN}}$ if $\triangle \mathrm{IWN}$ is equilateral and $W N=5$	\frac { 5 } { 3 } \pi
	<image>Find x.	4 \sqrt { 15 }
	<image>Find x.	4 \sqrt { 2 }
	<image>Find the value of the variable $x$ in the figure.	54
	<image>The area $A$ of the shaded region is given. Find $x$. $A = 66$ cm$^2$ .	13.0
	<image>Find the value of x.	163
	<image>$\overline{CH} \cong \overline{KJ}$. Find $x$.	55
	<image>In regular hexagon UVWXYZ, each side is 12 centimeters long. Find $W Y$.	12 \sqrt { 3 }
	<image>Find $\angle 5$	50
	<image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠9$.	49
	<image>Find $m \widehat {QTS}$.	248
	<image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.	13
	<image>$∠1$ and $∠2$ form a linear pair and $m∠2 = 67$. Find the measure of $\angle 1$.	113
	<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find YW if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.	3
	<image>Find $m\angle MPQ$.	101
	<image>Find x to the nearest hundredth.	43.86
	<image>Find x	10.5
	<image>Find $\angle 9$	120
	<image>Find $x$.	9.6
	<image>Find z.	6 \sqrt { 5 }
	<image>Use rectangle LMNP, parallelogram LKMJ to solve the problem. If $L N=10, L J=2 x+1,$ and $P J=3 x-1,$ find $x$	2
	<image>In $\odot P$, $JK=10$ and $\widehat {JKL}=134$. Find $m \widehat{JL}$.	67
	<image>Find $m \angle N C L$	120
	<image>Find $m \angle 1$.	79
	<image>The pair of polygons is similar. Find x	6
	<image>$m \angle 3=x-12$ and $m \angle 6=72$. Find $x$.	84
	<image>Find the perimeter of $\triangle D E F,$ if $\triangle D E F \sim \triangle C B F,$ perimeter of $\triangle C B F=27, D F=6,$ and $F C=8$	20.25
	<image>Find $TQ$.	12
	<image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 3$	40
	<image>Find $h$ in the triangle.	8
	<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find AC if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.	34
	<image>Find $m∠1$.	53
	<image>In rhombus $A B C D, m \angle D A B=2, m \angle A D C$ and $C B=6$. Find $m \angle A D B$	30
	<image>$\overline{WTY} \cong \overline{TWY}$. Find $x$.	5
	<image>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 6$ if $m∠1 = 30$.	60
	<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 $m\widehat{W U X}$	308
	<image>Find x.	10
	<image>Find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary.	10
	<image>Find the perimeter of the figure.	32
	<image>Find the measure of the altitude drawn to the hypotenuse.	\sqrt { 336 }
	<image>Use parallelogram MNPR to find $m \angle MNP$	71
	<image>In the figure, $\triangle A B C \sim \triangle D E F . \overline{B G}$ is a median of $\triangle A B C,$ and $\overline{E H}$ is a median of $\triangle D E F .$ Find $E H$ if $B C=30, B G=15,$ and $E F=15$	7.5
	<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.	2
	<image>Find $m \angle Y$	80
	<image>Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$. Find $m \widehat{Q R}$	72

<image>Find $m \angle 1$.

108

<image>Find $AB$.

4.1

<image>Find $RS$ if $\triangle QRS$ is an equilateral triangle.

2

<image>If two sides of a triangle measure 12 and 7, which of the following cannot be the perimeter of the triangle?

38

<image>Find the area of the triangle. Round to the nearest hundredth.

7.51

<image>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the radius of the circle.

8.5

<image>Find $m \angle 1$.

70

<image>Find $w$ in the given parallelogram

5

<image>Find $x$.

\frac { 5 } { 3 }

<image>Find y

5

<image>If $\triangle L M N \sim \triangle Q R S, Q R=35, R S=37, S Q=12$, and $N L=5$, find the perimeter of $\triangle L M N$.

35

<image>Find the measure of $\angle 7$ if $m∠4= m∠5$.

89

<image>$\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $ST$.

14

<image>If $m∠5 = 7x - 5$ and $m∠4 = 2x + 23$, find $x$.

18

<image>Find the measure of $\angle 2$.

76

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

29

<image>Find $CD$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$

40

<image>$UJ=9, VJ=3$, and $ZT=18$. Find $SV$.

9

<image>In $\odot O, \overline{E C}$ and $\overline{A B}$ are diameters, and $\angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A$ Find $m\widehat{A E}$

90

<image>In $\triangle PQR$, $ZQ=3a-11$, $ZP=a+5$, $PY=2 c-1$, $YR=4 c-11$, $m \angle PRZ=4 b-17$, $m \angle ZRQ=3 b-4$, $m \angle QYR=7 b+6$, and $m \angle PXR=2 a+10$. If $\overline{RZ}$ is an angle bisector, find $m∠PRZ$.

35

<image>Which segments are parallel?

A D and B E

<image>Use parallelogram MNPR to find $m \angle RMN$

109

<image>If WXYZ is a kite, find WP

\sqrt { 20 }

<image>Find x.

17

<image>In the figure below, $∠ABC$ is intersected by parallel lines $l$ and $m$. What is the measure of $∠ABC$? Express your answer in degrees.

71

<image>Find z

6

<image>If DB = 24, AE = 3, and EC = 18, find AD

4

<image>Find the measure of $m∠1$.

109

<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 6$.

70

<image>Find $x$.

35

<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.

50

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

72

<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 14$.

57

<image>Use parallelogram $JKLM$ to find $m \angle JKL$.

80

<image>Refer to the figure at the right. Find y.

6.75

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

95

<image>Find $x$.

6

<image>For the pair of similar figures, use the given areas to find $x$.

16

<image>Find x.

8

<image>Find $a,$ if $F G=18, G H=42,$ and $F K=15$

57

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

22.1

<image>Find PT

\frac { 20 } { 3 }

<image>Find $GD$.

14

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

101.8

<image>Find x

120

<image>Find y.

45

<image>Find the area of the rhombus.

168

<image>Find $AB$ if $\triangle ABC$ is an isosceles triangle with $\overline{AB} \cong \overline{BC}$.

7

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

69.8

<image>Circle $J$ has a radius of $10$ units, $\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $JK$.

12.6

<image>The perimeter of this polygon is 60 centimeters. Find the length of each side of the polygon.

12

<image>If $XN=6,XM=2$, and $XY=10$, find $NZ$.

24

<image>Find $x$

1

<image>Find BC

6

<image>Find $x$.

30

<image>Find $\widehat{\mathrm{WN}}$ if $\triangle \mathrm{IWN}$ is equilateral and $W N=5$

\frac { 5 } { 3 } \pi

<image>Find x.

4 \sqrt { 15 }

<image>Find x.

4 \sqrt { 2 }

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

54

<image>The area $A$ of the shaded region is given. Find $x$. $A = 66$ cm$^2$ .

13.0

<image>Find the value of x.

163

<image>$\overline{CH} \cong \overline{KJ}$. Find $x$.

55

<image>In regular hexagon UVWXYZ, each side is 12 centimeters long. Find $W Y$.

12 \sqrt { 3 }

<image>Find $\angle 5$

50

<image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠9$.

49

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

248

<image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.

13

<image>$∠1$ and $∠2$ form a linear pair and $m∠2 = 67$. Find the measure of $\angle 1$.

113

<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find YW if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.

3

<image>Find $m\angle MPQ$.

101

<image>Find x to the nearest hundredth.

43.86

<image>Find x

10.5

<image>Find $\angle 9$

120

<image>Find $x$.

9.6

<image>Find z.

6 \sqrt { 5 }

<image>Use rectangle LMNP, parallelogram LKMJ to solve the problem. If $L N=10, L J=2 x+1,$ and $P J=3 x-1,$ find $x$

2

<image>In $\odot P$, $JK=10$ and $\widehat {JKL}=134$. Find $m \widehat{JL}$.

67

<image>Find $m \angle N C L$

120

<image>Find $m \angle 1$.

79

<image>The pair of polygons is similar. Find x

6

<image>$m \angle 3=x-12$ and $m \angle 6=72$. Find $x$.

84

<image>Find the perimeter of $\triangle D E F,$ if $\triangle D E F \sim \triangle C B F,$ perimeter of $\triangle C B F=27, D F=6,$ and $F C=8$

20.25

<image>Find $TQ$.

12

<image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 3$

40

<image>Find $h$ in the triangle.

8

<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find AC if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.

34

<image>Find $m∠1$.

53

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

30

<image>$\overline{WTY} \cong \overline{TWY}$. Find $x$.

5

<image>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 6$ if $m∠1 = 30$.

60

<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 $m\widehat{W U X}$

308

<image>Find x.

10

<image>Find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary.

10

<image>Find the perimeter of the figure.

32

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

\sqrt { 336 }

<image>Use parallelogram MNPR to find $m \angle MNP$

71

<image>In the figure, $\triangle A B C \sim \triangle D E F . \overline{B G}$ is a median of $\triangle A B C,$ and $\overline{E H}$ is a median of $\triangle D E F .$ Find $E H$ if $B C=30, B G=15,$ and $E F=15$

7.5

<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.

2

<image>Find $m \angle Y$

80

<image>Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$. Find $m \widehat{Q R}$

72