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Author Archives: Anonymous

Solve for x:   [answer1]  A shaded four-sided figure is show…

Solve for x:   [answer1]  A shaded four-sided figure is shown. The top side, labeled from A to B, and the bottom side, labeled from D to C, have matching arrow marks indicating they are parallel. The top-left angle at A is labeled 4x plus 60, and the top-right angle at B is labeled 10x minus 45. The bottom-left angle at D is labeled 4x, and the bottom-right angle at C is labeled 5x. The left and right sides slope outward from top to bottom, forming a wider base than top.

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Find the value of x and y.  [answer1]  [answer2]  Two parall…

Find the value of x and y.  [answer1]  [answer2]  Two parallel diagonal lines are marked with matching arrow indicators, showing they run in the same direction. A transversal line intersects them at points T (left intersection) and B (right intersection). The transversal, also labeleld with a cursive lowercase l, extends from point V on the left through T and B to point C on the right. The leftmost parallel line, also labeled with a cursive lowercase m, extends from point S at the top through T to point U at the bottom, while the rightmost parallel line, also labeled with a cursive lowercase n, extends from point A at the top through B to point D at the bottom. The intersections form multiple angles where angle BDT is labeled (5y+7)°, angle UTV is labeled (7x-12)°, and angle VTS is labeled 73°.

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Pop a Wheelie bicycles finds that 1 out of every 80 wheels t…

Pop a Wheelie bicycles finds that 1 out of every 80 wheels they manufacture has a defect. If they manufacture 320 wheels per year, about how many can they expect to have a defect?  [answer1] wheels

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Find the measure of angle MAP and angle PAE, if angle MAE is…

Find the measure of angle MAP and angle PAE, if angle MAE is a right angle.  [answer1]  [answer2]  An angle diagram is centered at point A. A vertical ray extends upward from A to point M, and a horizontal ray extends right from A to point E. A third ray extends from A upward and to the right, passing through point P. The angle between the vertical ray and the slanted ray is labeled (2x + 1)°, and the angle between the slanted ray and the horizontal ray is labeled (8x − 11)°.

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Circumference = [answer1] km (Round to the nearest tenth, if…

Circumference = [answer1] km (Round to the nearest tenth, if necessary.  Use 3.14 for pi.)

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Tushar bought a car for $12,000. Two years later, after comp…

Tushar bought a car for $12,000. Two years later, after completing many repairs and upgrades, he sold the car for $18,000.  Find the percent of increase. 

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Which proportion correctly relates the measurements from the…

Which proportion correctly relates the measurements from the similar figures?    The smaller pentagon MNOPQ is on the upper left. The vertices start with M at the top and proceed clockwise around the figure with N, O, P, and Q. Side MQ is labeled 6 cm, and side QP is labeled 10 cm. The larger pentagon ABCDE is on the bottom right with the same orientation. The vertices start a tthe top with A and proceed clockwise aroud the figure with B, C, D, and E. Side AE is labeled 8 cm, and side ED is labeled x.

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Ultimate Games has monthly rental plan, offering 30 games pe…

Ultimate Games has monthly rental plan, offering 30 games per month for $12.99. Games to the Max also has a monthly plan, offering 40 games for $14.50.  Which store has the best value? [answer1] What is the unit price, in dollars per game? [answer2]

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A blueprint of the catacombs in Paris has a scale of 1:40. I…

A blueprint of the catacombs in Paris has a scale of 1:40. If the walls of the catacombs are 2 inches tall in the blueprint, how tall are the walls of the catacombs? 

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Write 15% as a decimal

Write 15% as a decimal

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