minglingfeng/Ocean_R1_collected_visual_data

problem stringlengths 7 764	solution stringlengths 19 98	reward_func stringclasses 2 values	has_image int64 1 1
Find x.	<answer> 30 </answer>	acc	1
How many tiny metallic things are both behind the block and right of the gray shiny object?	<answer> 0 </answer>	acc	1
What number of cylinders have the same size as the green ball?	<answer> 0 </answer>	acc	1
If Q R = 2, X W = 12, Q W = 15, and S T = 5, find R S.	<answer> 8 </answer>	acc	1
Please provide the bounding box coordinate of the region this sentence describes: a small boy on a gree laptop.	<answer> [301.62, 145.41, 633.51, 474.05] </answer>	iou	1
As shown in the figure, segment AB is the diameter of circle O, chord CD is perpendicular to AB, and ∠OCD = 40°. Therefore, the measure of ∠ABD is ().	<answer> 25° </answer>	acc	1
In \odot G, m \angle A G B = 30 and C G \perp G D. Find m \widehat B C.	<answer> 60 </answer>	acc	1
If 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.	<answer> 35 </answer>	acc	1
Add 2 small blue shiny cylinders. How many small blue shiny cylinders exist?	<answer> 2 </answer>	acc	1
If the ABCDE shape is a combination of a rectangle and an equilateral triangle, the perimeter of the ABCDE shape is 84, the diagonal of the BFGC rectangle is 19 and the diagonal of the BHIF square is 19, compute the length of the AB side of the ABCDE shape. Round computations to 2 decimal places.	<answer> 21.91 </answer>	acc	1
Please provide the bounding box coordinate of the region this sentence describes: an orange and yellow bus with a banana on top.	<answer> [17.27, 110.06, 616.03, 372.01] </answer>	iou	1
Add 3 large purple rubber spheres. How many large purple rubber spheres exist?	<answer> 3 </answer>	acc	1
What is the measure of angle CPD in degrees, if pentagon ABCDE is circumscribed around circle O and point P lies on line segment DE (excluding point D)?	<answer> 36° </answer>	acc	1
Find x. Assume that any segment that appears to be tangent is tangent.	<answer> 9 </answer>	acc	1
Is the number of red cylinders that are in front of the red cylinder less than the number of big matte cylinders?	<answer> yes </answer>	acc	1
Find J M.	<answer> 5.5 </answer>	acc	1
Is the white napkin to the left or to the right of the round food?	<answer> right </answer>	acc	1
If the DEFGH shape is a combination of a rectangle and an equilateral triangle, the perimeter of the DEFGH shape is 72 and the angle EBD is vertical to CBA, compute the degree of the BCA angle. Round computations to 2 decimal places.	<answer> 65.84 </answer>	acc	1
If the arc length of the ABC sector is 17.99, the degree of the BDE angle is 55, the degree of the BED angle is 40 and the angle CBA is vertical to EBD, compute the length of the BC side of the ABC sector. Assume $\pi=3.14$. Round computations to 2 decimal places.	<answer> 11.91 </answer>	acc	1
How many other things are the same size as the red thing?	<answer> 4 </answer>	acc	1
Find K L.	<answer> 6 </answer>	acc	1
What number of large cylinders have the same material as the yellow block?	<answer> 2 </answer>	acc	1
As shown in the figure, place the right-angle vertex of the triangular ruler on one side of the straightedge. If ∠1 = 65°, then the degree measure of ∠2 is ( ).	<answer> 25° </answer>	acc	1
How many items are there in the image?	<answer> 6 </answer>	acc	1
In the provided figure, points A, B, and C lie on circle O. If angle α has a measurement of 130 degrees, what is the measure of angle A?	<answer> 115° </answer>	acc	1
As shown in the figure, lines AB and CD intersect at point O, OA bisects ∠EOC, and ∠EOC = 70°. Therefore, the measure of ∠BOE is () A.The remaining selections are erroneous. B. 135° C. 35° D. 120°	<answer> A </answer>	acc	1
How many items are there in the image?	<answer> 8 </answer>	acc	1
In the given diagram, the diameter of circle O is represented by the line segment AB with a length of 2.0 units. Point D lies on the extension of line AB, and line segment DC is tangent to circle O at point C. If angle A measures 30.0 degrees, what is the length of CD?	<answer> √{3} </answer>	acc	1
As shown in the figure, the perimeter of ABCD is 36, the diagonals AC and BD intersect at point O, point E is the midpoint of CD, BD = 12, then the perimeter of △DOE is ( ).	<answer> 15 </answer>	acc	1
Subtract all balls. How many objects are left?	<answer> 5 </answer>	acc	1
Find the area of the shaded sector. Round to the nearest tenth, if necessary.	<answer> 10.0 </answer>	acc	1
ABCD is a parallelogram. BD = 2. The angles of triangle BCD are all equal. What is the perimeter of the parallelogram?	<answer> 8 </answer>	acc	1
If C E = t - 2. E B = t + 1, C D = 2, and C A = 10, find t.	<answer> 3 </answer>	acc	1
In the figure above, line BE is perpendicular to line AD and line CF is perpendicular to line AD and AE = EF. What is the value of x? A. 45 B. 50 C. 55 D.The remaining selections are erroneous. E. 40	<answer> D </answer>	acc	1
Find m \widehat A C.	<answer> 48 </answer>	acc	1
Add 8 small green matte cylinders. How many small green matte cylinders exist?	<answer> 9 </answer>	acc	1
Please provide the bounding box coordinate of the region this sentence describes: sheep left.	<answer> [0.0, 246.57, 122.47, 426.77] </answer>	iou	1
Please provide the bounding box coordinate of the region this sentence describes: a red umbrella above the woman in the red shirt and handbag.	<answer> [352.08, 166.55, 480.0, 316.47] </answer>	iou	1
Please provide the bounding box coordinate of the region this sentence describes: a blue tractor trailer with the word marchiori written on it.	<answer> [99.79, 169.9, 487.45, 324.39] </answer>	iou	1
If the cyan shape is a rectangle where a semi-circle has been removed from one side of it, the yellow shape is a rectangle where an equilateral triangle has been removed from one side of it and the perimeter of the yellow shape is 36, compute the area of the cyan shape. Assume $\pi=3.14$. Round computations to 2 decimal places.	<answer> 39.87 </answer>	acc	1
Please provide the bounding box coordinate of the region this sentence describes: white cup.	<answer> [463.0, 369.7, 640.0, 471.52] </answer>	iou	1
Subtract all cylinders. How many objects are left?	<answer> 2 </answer>	acc	1
Please provide the bounding box coordinate of the region this sentence describes: guy in front with white shirt sitting down.	<answer> [267.96, 172.73, 391.95, 425.93] </answer>	iou	1
As shown in the figure, the right-angle vertices of a pair of right-angled triangles overlap, where ∠BAC = ∠EAD = 90°, ∠B = 60°, ∠E = 45°, and AE and BC intersect at point F. If AB ‖ DE, the size of ∠EFB is ( )	<answer> 105° </answer>	acc	1
If A N is 5 meters long, find the exact circumference of \odot N.	<answer> 10 \pi </answer>	acc	1
Please provide the bounding box coordinate of the region this sentence describes: blak far right guy.	<answer> [459.51, 19.15, 548.53, 372.39] </answer>	iou	1
In the given diagram, let the measure of angle COD be represented by the variable 'x' (x = 60°). If point P lies on the arc CAD, what is the measure of angle CPD? Express the angle as 'y' in terms of 'x'.	<answer> 150° </answer>	acc	1
Please provide the bounding box coordinate of the region this sentence describes: right car cutt off.	<answer> [458.45, 106.06, 639.68, 255.98] </answer>	iou	1
In the given figure, a ruler and a right angle triangle board (which includes a right angle triangle with a 30° angle) are positioned. If angle 1 measures 15°, what is the measure of angle 2?	<answer> 45° </answer>	acc	1
As shown in the figure, in △ABC, D is a point on side AB, DE∥BC intersects AC at point E. If \frac{AD}{DB}=\frac{3}{5}, AE=6, then the length of EC is ().	<answer> 10 </answer>	acc	1
Find m \angle C.	<answer> 47 </answer>	acc	1
The diagram at the right shows a right triangle with representations for two angles. What is the value of x?	<answer> 20 </answer>	acc	1
As shown in the figure, line Mn and line Pq are perpendicular to each other, with the feet of the perpendiculars being points O, A, and B on lines Pq and Mn, respectively. If AI bisects ∠OAB and Bi bisects ∠OBA, then the measure of ∠BIA is ( ).	<answer> 135° </answer>	acc	1
Please provide the bounding box coordinate of the region this sentence describes: the woman wearing the red jacket and holding skis.	<answer> [82.34, 175.5, 299.24, 500.58] </answer>	iou	1
If the ABCD shape is a square where a circle has been removed from it, the perimeter of the AEFD parallelogram is 40 and the area of the AGHE square is 81, compute the area of the ABCD shape. Assume $\pi=3.14$. Round computations to 2 decimal places.	<answer> 25.41 </answer>	acc	1
In the provided diagram, where points A, B, and C lie on circle O and angle ACB is measured at 40.0 degrees, what is the measure of angle AOB?	<answer> 80° </answer>	acc	1
What number of objects are either cubes that are in front of the blue metallic object or blue matte objects that are in front of the big matte sphere?	<answer> 4 </answer>	acc	1
Add 3 big metal things. How many big metal things exist?	<answer> 5 </answer>	acc	1
Add 4 tiny purple rubber spheres. How many tiny purple rubber spheres exist?	<answer> 4 </answer>	acc	1
In the accompanying diagram, tangent AB and secant AD are drawn to circle O from point A, AB = 6 and AC = 4. Find AD.	<answer> 9 </answer>	acc	1
Find R S.	<answer> 8 </answer>	acc	1
What number of other things are the same color as the matte cube?	<answer> 0 </answer>	acc	1
Find x.	<answer> 8.5 </answer>	acc	1
How many items are there in the image?	<answer> 8 </answer>	acc	1
A set of a triangle board is placed as shown in the figure (with the right angle vertex C coinciding), side AB intersects CE at point F, DEparallel BC, then angle BFC＝().	<answer> 105° </answer>	acc	1
How many matte objects are either tiny cylinders or large purple cylinders?	<answer> 1 </answer>	acc	1
In the provided diagram, a regular ruler intersects at points D and E with a right angle triangle ruler, and the other side passes through point A and intersects with the right angle side BC at point F. If angle CAF measures 42°, then what is the degree of angle CDE?	<answer> 48° </answer>	acc	1
a = 14, b = 48, and c = 50, find \tan B.	<answer> 3.43 </answer>	acc	1
What is the degree of the angle α formed in the triangle board puzzle activity as arranged by Xiaoming using the given diagram?	<answer> 105° </answer>	acc	1
Use parallelogram A B C D to find y.	<answer> 11 </answer>	acc	1
Subtract all spheres. How many objects are left?	<answer> 7 </answer>	acc	1
Find x so that the quadrilateral is a parallelogram. A. 5 B.Every other option contains errors. C. 2 D. 4	<answer> B </answer>	acc	1
As shown in the figure, △ABC is an equilateral triangle, ∠CBD = 90°, BD = BC, then the degree of ∠1 is ( )	<answer> 75° </answer>	acc	1
Find x. Round side measure to the nearest tenth.	<answer> 2.0 </answer>	acc	1
Please provide the bounding box coordinate of the region this sentence describes: screen at 12.	<answer> [207.92, 43.51, 413.7, 171.05] </answer>	iou	1
Please provide the bounding box coordinate of the region this sentence describes: a man begins to slice into his breakfast while holding a flatware knife.	<answer> [427.96, 33.58, 640.0, 421.24] </answer>	iou	1
Find x.	<answer> 6 </answer>	acc	1
Subtract all shiny cylinders. Subtract all yellow cylinders. How many objects are left?	<answer> 4 </answer>	acc	1
If the ABEFG shape is a rectangle where an equilateral triangle has been removed from one side of it, the perimeter of the ABEFG shape is 84, the diagonal of the BHIE square is 18 and the area of the KBJ sector is 100.48, compute the perimeter of the ABCD trapezoid. Assume $\pi=3.14$. Round computations to 2 decimal places.	<answer> 52.49 </answer>	acc	1
What number of tiny shiny objects are behind the thing that is behind the shiny thing that is in front of the gray object?	<answer> 0 </answer>	acc	1
As shown in the figure, in circle O, AB = CB, ∠ABC = 46°, the degree of ∠ADC is ( )	<answer> 67° </answer>	acc	1
As shown in the figure, place a pair of triangles such that ∠BAC = ∠ADE = 90°, ∠E = 45°, ∠C = 30°. If AE ‖ BC, then ∠AFD = ( )	<answer> 75° </answer>	acc	1
Please provide the bounding box coordinate of the region this sentence describes: left couch.	<answer> [30.1, 232.7, 286.43, 406.02] </answer>	iou	1
Is the remote control on the left side of the picture?	<answer> yes </answer>	acc	1
If Q R S T is a parallelogram, find x.	<answer> 5.4 </answer>	acc	1
Circle O has a radius of 10, A B = 10 and m \overrightarrow A B = 60. Find m \widehat A X.	<answer> 5 </answer>	acc	1
As shown in the figure, after rotating △AOB 45° counterclockwise around point O, we get △A′OB′. If ∠AOB = 15°, then the measure of ∠AOB′ is ().	<answer> 30° </answer>	acc	1
Consider the rectangle ABCD illustrated in the figure. With the diagonals AC and BD intersecting at point O and angle AOB measuring 60 degrees, what is the length of DC if the length of BD is 8? A: 4√{3} B:No other choice is appropriate. C: 3 D: 5	<answer> B </answer>	acc	1
Given the scenario where O represents the center of a circle, and the diameter AB intersects the chord DE perpendicularly at point C, determine the length of the radius OD if the chord DE measures 8 units and the length of OC is 3 units.	<answer> 5 </answer>	acc	1
Let triangle ABC have midpoints D, E, and F on sides BC, AD, and CE respectively, and the area of triangle ABC denoted as 'A' cm^2. Determine the area of triangle DEF in terms of 'A'.	<answer> 0.5cm22 </answer>	acc	1
If the ABCD shape is a combination of a rectangle and a semi-circle, the perimeter of the ABCD shape is 100, the area of the FBC sector is 157, the degree of the FBG angle is 45 and the adjacent angles FBC and FBG are complementary, compute the length of the AB side of the ABCD shape. Assume $\pi=3.14$. Round computations to 2 decimal places.	<answer> 23.88 </answer>	acc	1
If the length of the AD side is 21, the area of the ABCD parallelogram is 120, the length of the AE side is 23, the arc length of the EAF sector is 23.13 and the angle EAF is vertical to DAB, compute the length of the AB side of the ABCD parallelogram. Assume $\pi=3.14$. Round computations to 2 decimal places.	<answer> 6.8 </answer>	acc	1
How many other objects are the same size as the cyan matte thing?	<answer> 3 </answer>	acc	1
If the ABCDE shape is a combination of a rectangle and an equilateral triangle, the length of the height of the equilateral triangle part of the ABCDE shape is 5, the ABFGH shape is a rectangle where an equilateral triangle has been removed from one side of it, the area of the ABFGH shape is 120, the BFIJ shape is a rectangle where a semi-circle has been removed from one side of it and the area of the BFIJ shape is 84, compute the perimeter of the ABCDE shape. Assume $\pi=3.14$. Round computations to 2 decimal places.	<answer> 47.12 </answer>	acc	1
As shown in the figure, ab is the diameter of the semicircle o, d is the midpoint of {ac}, ∠bac = 40°, the degree of ∠dac is ( )	<answer> 25° </answer>	acc	1

Find x.

acc

1

How many tiny metallic things are both behind the block and right of the gray shiny object?

acc

1

What number of cylinders have the same size as the green ball?

acc

1

If Q R = 2, X W = 12, Q W = 15, and S T = 5, find R S.

acc

1

Please provide the bounding box coordinate of the region this sentence describes: a small boy on a gree laptop.

iou

1

As shown in the figure, segment AB is the diameter of circle O, chord CD is perpendicular to AB, and ∠OCD = 40°. Therefore, the measure of ∠ABD is ().

acc

1

In \odot G, m \angle A G B = 30 and C G \perp G D. Find m \widehat B C.

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1

If 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.

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1

Add 2 small blue shiny cylinders. How many small blue shiny cylinders exist?

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1

If the ABCDE shape is a combination of a rectangle and an equilateral triangle, the perimeter of the ABCDE shape is 84, the diagonal of the BFGC rectangle is 19 and the diagonal of the BHIF square is 19, compute the length of the AB side of the ABCDE shape. Round computations to 2 decimal places.

acc

1

Please provide the bounding box coordinate of the region this sentence describes: an orange and yellow bus with a banana on top.

iou

1

Add 3 large purple rubber spheres. How many large purple rubber spheres exist?

acc

1

What is the measure of angle CPD in degrees, if pentagon ABCDE is circumscribed around circle O and point P lies on line segment DE (excluding point D)?

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1

Find x. Assume that any segment that appears to be tangent is tangent.

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1

Is the number of red cylinders that are in front of the red cylinder less than the number of big matte cylinders?

acc

1

Find J M.

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1

Is the white napkin to the left or to the right of the round food?

<answer> right </answer>

acc

1

If the DEFGH shape is a combination of a rectangle and an equilateral triangle, the perimeter of the DEFGH shape is 72 and the angle EBD is vertical to CBA, compute the degree of the BCA angle. Round computations to 2 decimal places.

acc

1

If the arc length of the ABC sector is 17.99, the degree of the BDE angle is 55, the degree of the BED angle is 40 and the angle CBA is vertical to EBD, compute the length of the BC side of the ABC sector. Assume $\pi=3.14$. Round computations to 2 decimal places.

acc

1

How many other things are the same size as the red thing?

acc

1

Find K L.

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1

What number of large cylinders have the same material as the yellow block?

acc

1

As shown in the figure, place the right-angle vertex of the triangular ruler on one side of the straightedge. If ∠1 = 65°, then the degree measure of ∠2 is ( ).

acc

1

How many items are there in the image?

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1

In the provided figure, points A, B, and C lie on circle O. If angle α has a measurement of 130 degrees, what is the measure of angle A?

acc

1

As shown in the figure, lines AB and CD intersect at point O, OA bisects ∠EOC, and ∠EOC = 70°. Therefore, the measure of ∠BOE is () A.The remaining selections are erroneous. B. 135° C. 35° D. 120°

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1

How many items are there in the image?

acc

1

In the given diagram, the diameter of circle O is represented by the line segment AB with a length of 2.0 units. Point D lies on the extension of line AB, and line segment DC is tangent to circle O at point C. If angle A measures 30.0 degrees, what is the length of CD?

acc

1

As shown in the figure, the perimeter of ABCD is 36, the diagonals AC and BD intersect at point O, point E is the midpoint of CD, BD = 12, then the perimeter of △DOE is ( ).

acc

1

Subtract all balls. How many objects are left?

acc

1

Find the area of the shaded sector. Round to the nearest tenth, if necessary.

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1

ABCD is a parallelogram. BD = 2. The angles of triangle BCD are all equal. What is the perimeter of the parallelogram?

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1

If C E = t - 2. E B = t + 1, C D = 2, and C A = 10, find t.

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1

In the figure above, line BE is perpendicular to line AD and line CF is perpendicular to line AD and AE = EF. What is the value of x? A. 45 B. 50 C. 55 D.The remaining selections are erroneous. E. 40

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1

Find m \widehat A C.

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1

Add 8 small green matte cylinders. How many small green matte cylinders exist?

acc

1

Please provide the bounding box coordinate of the region this sentence describes: sheep left.

iou

1

Please provide the bounding box coordinate of the region this sentence describes: a red umbrella above the woman in the red shirt and handbag.

iou

1

Please provide the bounding box coordinate of the region this sentence describes: a blue tractor trailer with the word marchiori written on it.

iou

1

If the cyan shape is a rectangle where a semi-circle has been removed from one side of it, the yellow shape is a rectangle where an equilateral triangle has been removed from one side of it and the perimeter of the yellow shape is 36, compute the area of the cyan shape. Assume $\pi=3.14$. Round computations to 2 decimal places.

acc

1

Please provide the bounding box coordinate of the region this sentence describes: white cup.

iou

1

Subtract all cylinders. How many objects are left?

acc

1

Please provide the bounding box coordinate of the region this sentence describes: guy in front with white shirt sitting down.

iou

1

As shown in the figure, the right-angle vertices of a pair of right-angled triangles overlap, where ∠BAC = ∠EAD = 90°, ∠B = 60°, ∠E = 45°, and AE and BC intersect at point F. If AB ‖ DE, the size of ∠EFB is ( )

acc

1

If A N is 5 meters long, find the exact circumference of \odot N.

acc

1

Please provide the bounding box coordinate of the region this sentence describes: blak far right guy.

iou

1

In the given diagram, let the measure of angle COD be represented by the variable 'x' (x = 60°). If point P lies on the arc CAD, what is the measure of angle CPD? Express the angle as 'y' in terms of 'x'.

acc

1

Please provide the bounding box coordinate of the region this sentence describes: right car cutt off.

iou

1

In the given figure, a ruler and a right angle triangle board (which includes a right angle triangle with a 30° angle) are positioned. If angle 1 measures 15°, what is the measure of angle 2?

acc

1

As shown in the figure, in △ABC, D is a point on side AB, DE∥BC intersects AC at point E. If \frac{AD}{DB}=\frac{3}{5}, AE=6, then the length of EC is ().

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1

Find m \angle C.

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1

The diagram at the right shows a right triangle with representations for two angles. What is the value of x?

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1

As shown in the figure, line Mn and line Pq are perpendicular to each other, with the feet of the perpendiculars being points O, A, and B on lines Pq and Mn, respectively. If AI bisects ∠OAB and Bi bisects ∠OBA, then the measure of ∠BIA is ( ).

acc

1

Please provide the bounding box coordinate of the region this sentence describes: the woman wearing the red jacket and holding skis.

iou

1

If the ABCD shape is a square where a circle has been removed from it, the perimeter of the AEFD parallelogram is 40 and the area of the AGHE square is 81, compute the area of the ABCD shape. Assume $\pi=3.14$. Round computations to 2 decimal places.

acc

1

In the provided diagram, where points A, B, and C lie on circle O and angle ACB is measured at 40.0 degrees, what is the measure of angle AOB?

acc

1

What number of objects are either cubes that are in front of the blue metallic object or blue matte objects that are in front of the big matte sphere?

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1

Add 3 big metal things. How many big metal things exist?

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1

Add 4 tiny purple rubber spheres. How many tiny purple rubber spheres exist?

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1

In the accompanying diagram, tangent AB and secant AD are drawn to circle O from point A, AB = 6 and AC = 4. Find AD.

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1

Find R S.

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1

What number of other things are the same color as the matte cube?

acc

1

Find x.

acc

1

How many items are there in the image?

acc

1

A set of a triangle board is placed as shown in the figure (with the right angle vertex C coinciding), side AB intersects CE at point F, DEparallel BC, then angle BFC＝().

acc

1

How many matte objects are either tiny cylinders or large purple cylinders?

acc

1

In the provided diagram, a regular ruler intersects at points D and E with a right angle triangle ruler, and the other side passes through point A and intersects with the right angle side BC at point F. If angle CAF measures 42°, then what is the degree of angle CDE?

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1

a = 14, b = 48, and c = 50, find \tan B.

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1

What is the degree of the angle α formed in the triangle board puzzle activity as arranged by Xiaoming using the given diagram?

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1

Use parallelogram A B C D to find y.

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1

Subtract all spheres. How many objects are left?

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1

Find x so that the quadrilateral is a parallelogram. A. 5 B.Every other option contains errors. C. 2 D. 4

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1

As shown in the figure, △ABC is an equilateral triangle, ∠CBD = 90°, BD = BC, then the degree of ∠1 is ( )

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1

Find x. Round side measure to the nearest tenth.

acc

1

Please provide the bounding box coordinate of the region this sentence describes: screen at 12.

iou

1

Please provide the bounding box coordinate of the region this sentence describes: a man begins to slice into his breakfast while holding a flatware knife.

iou

1

Find x.

acc

1

Subtract all shiny cylinders. Subtract all yellow cylinders. How many objects are left?

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1

If the ABEFG shape is a rectangle where an equilateral triangle has been removed from one side of it, the perimeter of the ABEFG shape is 84, the diagonal of the BHIE square is 18 and the area of the KBJ sector is 100.48, compute the perimeter of the ABCD trapezoid. Assume $\pi=3.14$. Round computations to 2 decimal places.

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1

What number of tiny shiny objects are behind the thing that is behind the shiny thing that is in front of the gray object?

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1

As shown in the figure, in circle O, AB = CB, ∠ABC = 46°, the degree of ∠ADC is ( )

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1

As shown in the figure, place a pair of triangles such that ∠BAC = ∠ADE = 90°, ∠E = 45°, ∠C = 30°. If AE ‖ BC, then ∠AFD = ( )

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1

Please provide the bounding box coordinate of the region this sentence describes: left couch.

iou

1

Is the remote control on the left side of the picture?

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1

If Q R S T is a parallelogram, find x.

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1

Circle O has a radius of 10, A B = 10 and m \overrightarrow A B = 60. Find m \widehat A X.

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1

As shown in the figure, after rotating △AOB 45° counterclockwise around point O, we get △A′OB′. If ∠AOB = 15°, then the measure of ∠AOB′ is ().

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1

Consider the rectangle ABCD illustrated in the figure. With the diagonals AC and BD intersecting at point O and angle AOB measuring 60 degrees, what is the length of DC if the length of BD is 8? A: 4√{3} B:No other choice is appropriate. C: 3 D: 5

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1

Given the scenario where O represents the center of a circle, and the diameter AB intersects the chord DE perpendicularly at point C, determine the length of the radius OD if the chord DE measures 8 units and the length of OC is 3 units.

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1

Let triangle ABC have midpoints D, E, and F on sides BC, AD, and CE respectively, and the area of triangle ABC denoted as 'A' cm^2. Determine the area of triangle DEF in terms of 'A'.

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1

If the ABCD shape is a combination of a rectangle and a semi-circle, the perimeter of the ABCD shape is 100, the area of the FBC sector is 157, the degree of the FBG angle is 45 and the adjacent angles FBC and FBG are complementary, compute the length of the AB side of the ABCD shape. Assume $\pi=3.14$. Round computations to 2 decimal places.

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1

If the length of the AD side is 21, the area of the ABCD parallelogram is 120, the length of the AE side is 23, the arc length of the EAF sector is 23.13 and the angle EAF is vertical to DAB, compute the length of the AB side of the ABCD parallelogram. Assume $\pi=3.14$. Round computations to 2 decimal places.

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How many other objects are the same size as the cyan matte thing?

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If the ABCDE shape is a combination of a rectangle and an equilateral triangle, the length of the height of the equilateral triangle part of the ABCDE shape is 5, the ABFGH shape is a rectangle where an equilateral triangle has been removed from one side of it, the area of the ABFGH shape is 120, the BFIJ shape is a rectangle where a semi-circle has been removed from one side of it and the area of the BFIJ shape is 84, compute the perimeter of the ABCDE shape. Assume $\pi=3.14$. Round computations to 2 decimal places.

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As shown in the figure, ab is the diameter of the semicircle o, d is the midpoint of {ac}, ∠bac = 40°, the degree of ∠dac is ( )

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