Find the area of the figure shown:  A trapezoid is shown filled with a light purple color. The top side, labeled 12 meters, and bottom side, labeled 18 meters, are marked with matching arrows. A dashed interior segment, labeled 21 meters, runs between the top and bottom sides forming a right angle with the 18 meter side.

The Joshua Tree Preservation Society is doing research on the rate of growth of Joshua trees in a particular area. This year they measured the trees and found the following heights, in meters:  1.6, 1.2, 0.4, 2.4, 0.8, 1.7, 1.9, 0.9, 3.1, and 2.2 Which box-and-whisker plot corresponds to their data? 

Identify the supplementary angles:  is supplementary to [answer1] and  [answer3] is supplementary to [answer2] and  [answer4] Two straight lines intersect at point O, forming an X shape. One line runs from point P in the upper left through O to point R in the lower right. The other line runs from point S in the lower left through O to point Q in the upper right. Each ray has a labeled point near its end: P, Q, R, and S. The intersection creates four angles around point O, with no angle measures shown.

Find the percent of decrease. Original: 40 New: 30

Before an upcoming election, a news channel decides to do a poll of registered voters. They call 5 out of every 20 people listed in the DMV registered voters list. Select all the ways to express this as a ratio. 

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.

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°.

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

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)°.

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