images images listlengths 1 1 | problem stringlengths 7 1.32k | answer stringclasses 337
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<image>As shown in the diagram, it is known that A is to the southeast of B, and C is to the southwest of A. The distances between AB and BC are the same as shown in the diagram. What is the area of the sector shown in the diagram?
Please select the correct option: A. 25π; B. 100π; C. 50π; D. No correct answer | A | |
<image>As shown in the figure, then angle β = ()
Choices:
A:30°
B:40°
C:50°
D:65° | B | |
<image>What is the missing number in the picture?
Please select the correct option: ['6', '8', '10', '11'] | 6 | |
<image>As shown in the figure, angle D = 74.0, then the degree of angle B is ()
Choices:
A:74°
B:32°
C:22°
D:16° | B | |
<image>Determine if this relation is a function.
Choices:
A:This is a function
B:This is not a function | A | |
<image>As shown in the figure, the central angle angle AOB = 100.0, then the angle of circumference angle ACB is equal to ().
Choices:
A:130°
B:120°
C:110°
D:100° | A | |
<image>In the figure, a polygon is within in a circle. Find the measure of a central angle.
Choices:
A:30
B:60
C:90
D:120 | B | |
<image>In hexagon U V W X Y Z, find W Y.
Choices:
A:12
B:6 \sqrt { 6 }
C:12 \sqrt { 3 }
D:36 | C | |
<image>As shown in the figure, point A is directly north of point O, point B is southeast of point A, and the distance between A and B is 6 meters. Point B is directly east of point O. Translate triangle ABO such that the translated point O' is directly east of point A and directly north of point B. What are the measur... | C | |
<image>Find $BC$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3$, and $FE=x+\frac{10}{3}$. | 10 | |
<image> | 053 ^\circ T | |
<image>What's the ratio of smallest segment and second largest segment? | 0.33 | |
<image>As shown in the figure, the diagonals of rectangle ABCD are AC and BD. What is the perimeter of triangle OCD? ( ) cm
Please select the correct option: A. 13; B. 14; C. 15; D. 16; E. No correct answer | B | |
<image>As shown in the figure, A, B, and C are three points on the straight line l. How many line segments are there on the line, and what are their lengths?
Please select the correct option: A. There are 3 line segments, with lengths of 10cm, 20cm, and 30cm respectively; B. There are 2 line segments, with lengths of 1... | A | |
<image> | B | |
<image>Does the graphed function have an even or odd power?
Choices:
A:Odd
B:Even | B | |
<image>How many algorithms have accuracies higher than 2? | 6 | |
<image>As shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00° | B | |
<image>As shown in the figure, the quadrilateral ABCD and A′B′C′D′ are similar. If OA′: A′A = 2.0:1.0, the area of the quadrilateral A′B′C′D′ is 12.0 ^ 2, then the area of the quadrilateral ABCD is ()
Choices:
A:24cm^{2}
B:27cm^{2}
C:36cm^{2}
D:54cm^{2} | B | |
<image>Find PT | \frac { 20 } { 3 } | |
<image>The triangle in the diagram below is a ( ) triangle.
Please select the correct option: A. Equilateral; B. Isosceles; C. Obtuse; D. No correct answer | B | |
<image>Use parallelogram J K L M to find m \angle K J L if J K = 2 b + 3 and J M = 3 a.
Choices:
A:30
B:70
C:80
D:100 | A | |
<image>As shown in the figure, triangle ABC is folded along the straight line DE so that point B coincides with point A. Given that AD + CD = 12 cm, what are the lengths of BC and AB in cm, respectively?
Please select the correct option: A. 10, 8; B. 12, 8; C. 15, 9; D. 17, 10; E. No correct answer | B | |
<image>In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$.
Find JG | 30 | |
<image>Do the following graph have inverse functions?
Choices:
A:Yes
B:No | B | |
<image>The magnitude of the acceleration vector a is $10 \mathrm{~cm} / \mathrm{s}^2$. Use the figure to estimate the tangential components of $\mathbf{a}$. | 4.5 | |
<image>What is the smallest percentage value recorded in the chart? | 5 | |
<image>As shown in the diagram, Mike is facing the school. How should he go to the supermarket?
Please select the correct option: A. Turn left; B. Turn right; C. Cannot be determined; D. No correct answer | B | |
<image>$\overline{WTY} \cong \overline{TWY}$. Find $x$. | 5 | |
<image>In the triangle with height x, two acute angles are 45 and 30 degrees. One of a right-angle side is bisected by a line from the top vertex. Find x.
Choices:
A:4
B:4 \sqrt { 2 }
C:4 \sqrt { 3 }
D:8 | B | |
<image>Find x. | 4 \sqrt { 6 } | |
<image>As shown in the figure, the lateral surface of a cylinder is unfolded into a square ABCD. What is the volume of the cylinder ( ) cm³?(π = 3.14)
Please select the correct option: A. 20.56; B. 19.72; C. 31.4; D. 39.4; E. No correct answer | B | |
<image>As shown in the figure, if angle BOC = 30.0, then the degree of angle BAD is ()
Choices:
A:30°
B:25°
C:20°
D:15° | D | |
<image>As shown in the figure, the parallelogram with 2sides of 13yd and 10yd respectively. Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
A:65
B:91.9
C:112.6
D:130 | B | |
<image>Kylie spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Thursday and Friday? (Unit: shells per day) | -7 | |
<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.
Choices:
A:35
B:42
C:63
D:84 | A | |
<image> | B | |
<image>What could be the equation of p?
Choices:
A:p(x)=x(x-3)^2(2 x+7)
B:p(x)=x^2(x-3)(2 x+7)
C:p(x)=x(x-3)^2(2 x+7)^2
D:p(x)=x(x-3)(2 x+7)^2 | A | |
<image>Find A B.
Choices:
A:3
B:4
C:7
D:11 | C | |
<image> | C | |
<image> | B | |
<image>What is the sum of all the values in the ruling group? | 12 | |
<image>A real estate agent drove around the neighborhood and counted the number of houses on each block. How many blocks have exactly 36 houses? (Unit: blocks) | 1 | |
<image>As shown in the figure, if the measured length of AB is 8.0, the area of the torus is ()
Choices:
A:16平方米
B:8π平方米
C:64平方米
D:16π平方米 | D | |
<image>For function graphed below, determine if it has an inverse function.
Choices:
A:Yes
B:No | A | |
<image>As shown in the figure, then the radius of circle O is ()
Choices:
A:3
B:2√{3}
C:6
D:4√{3} | C | |
<image>Is the discriminant of g positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative | C | |
<image>As shown in the figure, it is known that BA is the tangent of circle O, then the length of BC is ()
Choices:
A:2√{2}-1
B:√{2}
C:2√{2}-2
D:2-√{2} | C | |
<image>Find x. Assume that segments that appear to be tangent are tangent. | 12 | |
<image>Are these people sitting in a circle?
Please select the correct option: ['Yes', 'No'] | Yes | |
<image>Is Dark Blue the high median?
Please select the correct option: ['yes', 'no'] | no | |
<image>Express the ratio of \cos X as a decimal to the nearest hundredth.
Choices:
A:0.28
B:0.29
C:0.96
D:3.43 | A | |
<image>Which two of the following expressions are OPPOSITE of $\cos (\theta)$ ? Choose 2 answers:
Choices:
A:$\cos (\pi+\theta)$
B:$\cos \left(\frac{\pi}{2}-\theta\right)$
C:$\cos (\pi-\theta)$
D:$\cos (2 \pi-\theta)$ | A
C | |
<image>Subtract all big red metallic spheres. Subtract all big brown matte things. How many objects are left? | 6 | |
<image>In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85 | A | |
<image>Which of the coordinates is equal to \sin \left(310^{\circ}\right)?
Choices:
A:x-coordinate of point A
B:y-coordinate of point A
C:x-coordinate of point B
D:y-coordinate of point B
E:x-coordinate of point C
F:y-coordinate of point C | F | |
<image>The area $A$ of the shaded region is given. Find $x$. $A = 66$ cm$^2$ .
Please select the correct option: ['4.6', '6.5', '13.0', '26.0'] | 13.0 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | 178.2 | |
<image>Does South Carolina have the highest value in the South ?
Please select the correct option: ['Yes', 'No'] | No | |
<image>Chords $\overline{A C}$ and $\overline{D F}$ are equidistant from the center. If the radius of $\odot G$ is 26 find $A C$ | 48 | |
<image>如图，AB、BC、CD、DA都是⊙O的切线，已知AD＝2，BC＝5，则AB+CD的值是（）
Please select the correct option: ['14', '12', '9', '7'] | 7 | |
<image>In the diagram, there are three cylinders with their volumes and base diameters shown. What is the height, in meters, of the cylinder with a base diameter of 50 cm?
Please select the correct option: A. 0.3; B. 0.4; C. 0.5; D. 0.6; E. No correct answer | C | |
<image>Use parallelogram to find $b$ | 11 | |
<image>Find the measure of the altitude drawn to the hypotenuse. | \sqrt { 336 } | |
<image>There is a triangle with the length of hypotenuse as 5. Find x.
Choices:
A:\sqrt { 7 }
B:3 \sqrt { 2 }
C:3 \sqrt { 3 }
D:3 \sqrt { 6 } | A | |
<image>Find m \widehat C B.
Choices:
A:24
B:33
C:67
D:134 | C | |
<image> | B | |
<image>Subtract all big green cylinders. Subtract all rubber cylinders. How many objects are left? | 5 | |
<image>Is the number of large brown rubber motorbikes in front of the big motorbike greater than the number of big green sedans?
Please select the correct option: ['Yes', 'No'] | No | |
<image>As shown in the figure, the length of the shadow of the window frame AB on the ground DE = 1.8, the distance from the lower eaves of the window to the ground BC = 1.0, EC = 1.2, then the height of the window AB is ()
Choices:
A:1.5m
B:1.6m
C:1.86m
D:2.16m | A | |
<image>Is Dark Salmon greater than Dark Orchid?
Please select the correct option: ['yes', 'no'] | yes | |
<image>In the figure above, lines l and m are not parallel. Which of the following cannot be the value of x?
Choices:
A.89
B.90
C.91
D.92
E.93 | B | |
<image>Is the number of purple metallic things that are behind the small green motorbike less than the number of blue metal articulated buss?
Please select the correct option: ['Yes', 'No'] | No | |
<image>The derivative of f(x) at x=2 is ____ that at x=5
Please select the correct option: ['larger than', 'equal to', 'smaller than'] | equal to | |
<image>People can use the engineering-design process to develop solutions to problems. One step in the process is testing if a potential solution meets the requirements of the design.
The passage below describes how the engineering-design process was used to test a solution to a problem. Read the passage. Then answer t... | which design would have the greatest distance between the concert area and the road | |
<image>As shown in the figure, the cross section of a small reservoir dam is a right trapezoid, the width of crest BC is 6.0, the height of dam is 14.0, and the slope of the slope CD is i = 1.0:2.0, then the length of the dam bottom AD is ()
Please select the correct option: ['13m', '34m', '(6+14√{3})m', '40m'] | 34m | |
<image>To use the water container shaped like a cone as shown in the figure to fetch water, what is its volume in cm³?(Use π = 3.14)
Please select the correct option: A. 3140; B. 2056; C. 6280; D. 2093.33; E. No correct answer | D | |
<image> | D | |
<image>In $\odot P$, the radius is $2$ inches, find the length of $\widehat {RS}$. Round to the nearest hundredth. | 4.54 | |
<image>As shown in the figure, AB is the diameter of ⊙O, and point C is on ⊙O. If ∠A = 40.0, then the degree of ∠B is ()
Please select the correct option: ['80°', '60°', '50°', '40°'] | 50° | |
<image>Find $BC$. | 9 | |
<image>How many people in the image were born after the end of World War II? | 0 | |
<image>Each pair of polygons is similar. Find AC | 7.6 | |
<image>The diagrams below show two pure samples of gas in identical closed, rigid containers. Each colored ball represents one gas particle. Both samples have the same number of particles. Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature?
Please select the co... | sample B | |
<image>As shown in the figure, quadrilateral GBCD is an isosceles trapezoid (with a perimeter of 40 cm), and quadrilateral ABCD is a parallelogram. What is the area of triangle GAB in cm²?
Please select the correct option: A. 24; B. 50; C. 40; D. No correct answer | C | |
<image>As shown in the diagram, triangle ABC is a cross-section of a cone. It is known that ∠1 = 45°. ∠2=( ) ?
Please select the correct option: A. 30°; B. 45°; C. 60°; D. 90°; E. No correct answer | B | |
<image>Are there fewer tiny red trucks than small blue bicycles?
Please select the correct option: ['Yes', 'No'] | Yes | |
<image> | A | |
<image> | D | |
<image> | B | |
<image>Is the discriminant of g positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative | B | |
<image>Subtract all tiny cubes. Subtract all brown balls. How many objects are left? | 7 | |
<image>As shown in the diagram, six small squares form a shape, where the position of small square A is represented by the coordinate pair (5, 4). Now, small square A is moved to another position A'. What is the coordinate of position A'?
Please select the correct option: A. (3, 2); B. (3, 4); C. (6, 2); D. No correct ... | A | |
<image>Find x. Round to the nearest tenth. | 52.5 | |
<image>What is the perimeter of the shape? | 9 | |
<image>Emile is observing a wind turbine. The vertical distance between the ground and the tip of one of the turbine's blades, in meters, is modeled by $H(t)$ where $t$ is the time in seconds. The function is graphed below, along with one segment highlighted. What is the meaning of the highlighted segment?
Choices:
A:T... | A | |
<image>What fraction of the area of the figure is shaded?
Choices:
A.3/8
B.1/4
C.1/8
D.1/10
E.1/16 | B | |
<image>The base of a rectangular cuboid is a square. If the height of the rectangular cuboid is increased by 4 cm, and its surface area also increases by 128 cm², what is the side length of the base of the rectangular cuboid in cm?
Please select the correct option: A. 12; B. 8; C. 6; D. 4; E. No correct answer | B | |
<image>How many items sold less than 5 units in at least one store? | 2 | |
<image>Find $x$ if $AE=3, AB=2$, $BC=6,$ and $ED=2x-3$ | 6 |
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