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If the ABCD shape is a rectangle where a semi-circle has been removed from one side of it, the length of the BC side is 7 and the perimeter of the ABCD shape is 62, compute the length of the AB side of the ABCD shape. Assume $\pi=3.14$. Round computations to 2 decimal places.
<answer> 22.0 </answer>
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1
Given the circle at the right with two tangents to the circle from a common external point. Find the measure of the angle designated by x.
<answer> 80 </answer>
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1
Find x.
<answer> 9 \sqrt { 3 } </answer>
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1
Please provide the bounding box coordinate of the region this sentence describes: a blue and black suitcase.
<answer> [0.0, 180.12, 306.57, 424.98] </answer>
iou
1
In the provided figure, points E, B, C, and D are collinear. Let's denote the measure of angle A as variable x, and the measure of angle DCF as variable y (y = 50°). If angle A is equal to angle ACF, what is the measure of angle ABE, expressed as variable z in terms of x and y?
<answer> 130° </answer>
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If m \angle Z Y W = 2 x - 7 and m \angle W Y X = 2 x + 5, find m \angle Z Y W.
<answer> 39 </answer>
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Find the perimeter of the polygon for the given information. S T = 18, radius of \odot P = 5. A.Every other option contains errors. B. 60 C. 70 D. 90
<answer> A </answer>
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Find W X.
<answer> 10 </answer>
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Find m \angle Q.
<answer> 121 </answer>
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1
Add 10 large brown shiny objects. How many large brown shiny objects exist?
<answer> 10 </answer>
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1
Please provide the bounding box coordinate of the region this sentence describes: woman with stripes.
<answer> [188.23, 102.08, 283.68, 472.49] </answer>
iou
1
How many other things are made of the same material as the tiny brown object?
<answer> 2 </answer>
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1
As shown in the figure, the perimeter of ABCD is 36, the diagonals AC and BD intersect at point O, ⊥AC and the perpendicular foot intersect at O, the perimeter of △CDF is ( ).
<answer> 18 </answer>
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1
As shown in the figure, in △ABC, ∠A = 50°, then the degree measure of ∠1 + ∠2 is ( )
<answer> 230° </answer>
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1
Find the area of the trapezoid.
<answer> 273 </answer>
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As shown in the figure, in the right triangle ABC, ∠C = 90°, BC = 4, AC = 8. Point D is a moving point on AC. Among all parallelograms ADBE with AB as the diagonal, the minimum value of line segment DE is ()
<answer> 4 </answer>
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1
In the figure, m \angle 4 = 104, m \angle 14 = 118. Find the measure of \angle 9.
<answer> 62 </answer>
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As shown in the figure, the diagonal AC of rectangle ABCD is 8, and ∠BOC is 120°. Therefore, the length of AB is ( ).
<answer> 4 </answer>
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As shown in the figure, points A, B, and C are all on circle O, with point B being the midpoint of the arc AC. If ∠AOB = 72°, then the measure of ∠OAC is ( ).
<answer> 18° </answer>
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What is the largest area that triangle BDC can have, if triangle ABC is defined by sides BC measuring 10 units and AC - AB measuring 4 units, and the perpendicular line segment CD intersects the angle bisector of angle BAC?
<answer> 10 </answer>
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Who are the kites that are black and red pulling?
<answer> surfer </answer>
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For isosceles trapezoid X Y Z W, find m \angle Z.
<answer> 110 </answer>
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How many items are there in the image?
<answer> 9 </answer>
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1
Given the information in the figure, with AB being parallel to CE and BC bisecting angle ABD, if angle C is 28 degrees, what is the degree measure of angle BDE? A: 14° B: 28° C: 42° D:No other choice is appropriate.
<answer> D </answer>
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1
If the area of the cyan parallelogram is 90, compute the degree of the angle marked with question mark. Round computations to 2 decimal places.
<answer> 38.32 </answer>
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1
Please provide the bounding box coordinate of the region this sentence describes: top left corner of pic.
<answer> [0.0, 0.0, 149.33, 257.38] </answer>
iou
1
What number of small purple spheres are there?
<answer> 0 </answer>
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1
How many other objects are there of the same material as the tiny gray block?
<answer> 2 </answer>
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1
In the figure, m \angle 4 = 104, m \angle 14 = 118. Find the measure of \angle 9.
<answer> 62 </answer>
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1
Subtract 1 gray spheres. How many objects are left?
<answer> 7 </answer>
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1
There is a small brown object that is to the right of the small yellow rubber ball; what number of small brown things are behind it?
<answer> 1 </answer>
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1
Please provide the bounding box coordinate of the region this sentence describes: boy holding toy yellow.
<answer> [255.19, 88.02, 392.38, 241.52] </answer>
iou
1
Please provide the bounding box coordinate of the region this sentence describes: a man with a pink shirt next to the railing.
<answer> [206.87963904, 334.75458708, 297.64466304, 605.58791508] </answer>
iou
1
If the DEFGH shape is a rectangle where an equilateral triangle has been removed from one side of it, the length of the EF side is 7, the area of the DEFGH shape is 66, the AEIJ shape is a rectangle where a semi-circle has been removed from one side of it, the length of the EI side is 7, the perimeter of the AEIJ shape is 52, the angle BAC is vertical to EAD, the degree of the MLN angle is 35, the adjacent angles MLC and MLN are complementary, the length of the OP side is 6, the length of the MP side is 8, the angle PMO is vertical to CML and the angle BCA is vertical to MCL, compute the degree of the CBA angle. Assume $\pi=3.14$. Round computations to 2 decimal places.
<answer> 56.7 </answer>
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How many shiny objects are the same shape as the red matte object?
<answer> 0 </answer>
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1
Find x. Round the side measure to the nearest tenth.
<answer> 6.1 </answer>
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1
As shown in the figure, if AB is the diameter of circle O, and ∠AOC = 130°, then ∠D equals ( )
<answer> 25° </answer>
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1
Find y so that the quadrilateral is a parallelogram.
<answer> 24 </answer>
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1
Find the area of the figure. Round to the nearest tenth if necessary.
<answer> 80 </answer>
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1
Subtract all brown balls. How many balls are left?
<answer> 1 </answer>
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1
In the accompanying diagram of rhombus ABCD, the measure of angle CAB is 35. Find the measure of angle CDA.
<answer> 110 </answer>
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Subtract all brown cylinders. How many yellow cubes are left?
<answer> 2 </answer>
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1
Add 1 small gray matte objects. How many objects exist?
<answer> 8 </answer>
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1
What is the measure of angle C in the provided figure where AB is the diameter of circle O, CD is a chord of circle O, and angle ABD measures 58.0 degrees?
<answer> 32° </answer>
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1
In circle O, secant SD intersects the circle at C and secant SB intersects the circle at A. If SC = 6, CD = 8, and SA = 4, find AB.
<answer> 17 </answer>
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1
Find y.
<answer> 10 </answer>
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1
How many items are there in the image?
<answer> 3 </answer>
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1
As shown in the figure, in △ABC, BF bisects ∠ABC, AF⊥BF at point F, D is the midpoint of AB, and DF is connected to extend AC to point E. Given AB=10, BC=16, the length of line EF is ( )
<answer> 3 </answer>
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Find m \angle 4.
<answer> 64 </answer>
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Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.
<answer> 8 </answer>
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1
How many items are there in the image?
<answer> 4 </answer>
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1
If Q R = 2, X W = 12, Q W = 15, and S T = 5, find W V.
<answer> 7.5 </answer>
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1
Please provide the bounding box coordinate of the region this sentence describes: closest piece of pizza.
<answer> [101.6, 140.52, 522.07, 396.69] </answer>
iou
1
As shown in the figure, the perimeter of ▱ABCD is 20 cm, AC intersects BD at point O, OE⊥AC intersects AD at E, then the perimeter of △CDE is ().
<answer> 10cm </answer>
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1
As shown in the figure, the perimeter of △ABC is 20, points D and E are on side BC, the angle bisector of ∠ABC is perpendicular to AE, with the foot of the perpendicular being N, and the angle bisector of ∠ACB is perpendicular to AD, with the foot of the perpendicular being M. If BC = 8, then the length of MN is ( ).
<answer> 2 </answer>
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1
Is the number of small brown things in front of the green metal cylinder greater than the number of small green objects?
<answer> no </answer>
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1
Subtract all balls. How many objects are left?
<answer> 3 </answer>
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1
If the ABCD shape is a combination of a rectangle and a semi-circle and the perimeter of the ABCD shape is 44, compute the length of the AB side of the ABCD shape. Assume $\pi=3.14$. Round computations to 2 decimal places.
<answer> 11.72 </answer>
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1
Is the number of big rubber objects less than the number of red rubber objects?
<answer> yes </answer>
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1
Please provide the bounding box coordinate of the region this sentence describes: shorter of the two giraffes the one leaning over more.
<answer> [275.95, 74.79, 485.55, 291.95] </answer>
iou
1
How many small brown things are right of the small cube?
<answer> 0 </answer>
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1
Find x. Assume that segments that appear to be tangent are tangent.
<answer> 16 </answer>
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1
In circle O, secant SD intersects the circle at C and secant SB intersects the circle at A. If SC = 6, CD = 8, and SA = 4, find AB.
<answer> 17 </answer>
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Find the measure of the altitude drawn to the hypotenuse.
<answer> 12 </answer>
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As shown in the figure, points D and E are on the sides BA and BC of ∠ABC, respectively, with DE⊥AB. A line FG is drawn parallel to BC through point F on BA (above point D). If ∠AFG = 42°, then the measure of ∠DEB is ( ).
<answer> 48° </answer>
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If the ABCDE shape is a combination of a rectangle and an equilateral triangle, the perimeter of the ABCDE shape is 108, the perimeter of the BFGC parallelogram is 84, the BFHI shape is a rectangle where a semi-circle has been removed from one side of it and the perimeter of the BFHI shape is 90, compute the length of the AB side of the ABCDE shape. Assume $\pi=3.14$. Round computations to 2 decimal places.
<answer> 23.8 </answer>
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1
Subtract 0 brown cubes. How many objects are left?
<answer> 10 </answer>
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1
In rhombus A B C D, m \angle D A B = 2, m \angle A D C and C B = 6. Find D A.
<answer> 6 </answer>
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1
Please provide the bounding box coordinate of the region this sentence describes: catcher.
<answer> [392.56, 221.05, 626.0, 424.0] </answer>
iou
1
Add 1 brown metallic objects. How many brown metallic objects exist?
<answer> 2 </answer>
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1
Add 1 small red matte blocks. How many objects exist?
<answer> 10 </answer>
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Quadrilateral A B C D is a rhombus. If m \angle B C D = 64, find m \angle B A C.
<answer> 32 </answer>
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As shown in the figure, in △ABC, ∠ACB = 90°, M and N are the midpoints of AB and AC, respectively. Extend BC to point D such that CD = \frac{1}{3} × BD, and connect DM, DN, MN, CM. If AB = 6, then the value of DN is ( ).
<answer> 3 </answer>
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If the area of the brown semi-circle is 100.48, compute the length of the side of the brown semi-circle marked with question mark. Assume $\pi=3.14$. Round computations to 2 decimal places.
<answer> 16.0 </answer>
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1
Please provide the bounding box coordinate of the region this sentence describes: face of the clock.
<answer> [275.23, 84.21, 436.46, 254.69] </answer>
iou
1
Is the number of brown matte cubes the same as the number of cylinders?
<answer> no </answer>
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1
Find x in the figure.
<answer> 31 </answer>
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1
In triangle ABC, AD = DB , DE is parallel to BC, and the area of triangle ABC is 40. What is the area of triangle ADE ?
<answer> 10 </answer>
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1
What is the parking meter on?
<answer> pole </answer>
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In the diagram at the right, the angles are represented as shown. Find the measure of angle DBC.
<answer> 155 degrees </answer>
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1
Find x.
<answer> 3 </answer>
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1
If the arc length of the ABC sector is 10.28, the BCDE shape is a rectangle where a semi-circle has been removed from one side of it, the length of the CD side is 18 and the perimeter of the BCDE shape is 94, compute the degree of the CBA angle. Assume $\pi=3.14$. Round computations to 2 decimal places.
<answer> 25.2 </answer>
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1
Are there any bottles or plates that are not white?
<answer> no </answer>
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1
If triangle CAB is rotated by 34.0 degrees in a clockwise direction around point C to yield triangle CDE, and angle ACE measures 88.0 degrees, how much will angle DCB measure in the figure?
<answer> 20° </answer>
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1
If the ABCDE shape is a rectangle where an equilateral triangle has been removed from one side of it, the area of the ABCDE shape is 66 and the diagonal of the BFGC square is 13, compute the length of the AB side of the ABCDE shape. Round computations to 2 decimal places.
<answer> 11.12 </answer>
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1
How many items are there in the image?
<answer> 6 </answer>
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1
What number of objects are either small metallic spheres or small blue blocks?
<answer> 2 </answer>
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1
Please provide the bounding box coordinate of the region this sentence describes: right vase.
<answer> [301.19, 203.54, 445.59, 532.23] </answer>
iou
1
Find the area of the parallelogram.
<answer> 318.7 </answer>
acc
1
Subtract all purple balls. Subtract all red shiny cubes. How many objects are left?
<answer> 4 </answer>
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1
How many items are there in the image?
<answer> 8 </answer>
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1
Is the number of green balls on the left side of the big blue object less than the number of cyan objects?
<answer> no </answer>
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1
Given a rhombus ABCD with intersecting diagonals AC and BD at O, and a perpendicular DH drawn from D to AB at H, with OH, if OA measures 3 and OH measures 2, what is the area of rhombus ABCD?
<answer> 12 </answer>
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1
If the ABCDE shape is a rectangle where an equilateral triangle has been removed from one side of it, compute the area of the ABCDE shape. Round computations to 2 decimal places.
<answer> 287.0 </answer>
acc
1
Please provide the bounding box coordinate of the region this sentence describes: smiley girl.
<answer> [365.66, 67.78, 516.67, 263.01] </answer>
iou
1
Subtract all yellow cubes. How many red spheres are left?
<answer> 2 </answer>
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1
Quadrilateral A B C D is a rectangle. Find y.
<answer> 5 </answer>
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1
Find x.
<answer> 21 </answer>
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1
Is the number of big matte cubes less than the number of tiny red rubber objects?
<answer> no </answer>
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1
In \odot R, S U = 20, Y W = 20, and m \widehat Y X = 45. Find S V.
<answer> 10 </answer>
acc
1
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