Find the value of x.   [answer1]  A horizontal line passes through point T, with point A on the left and point E on the right. From T, a ray extends upward and to the left through point L. Two adjacent angles are formed along the straight line at T: the angle between the left horizontal ray and the slanted ray is labeled (4x + 2)°, and the angle between the slanted ray and the right horizontal ray is labeled (8x − 2)°. A point labeled L lies on the slanted ray above and to the left of T.

Just Breathe recreation company is conducting a survey about people’s favorite outdoor activities.  Which sampling method is least likely to produce a biased result? 

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 Find the upper quartile and lower quartile. Upper Quartile: [answer1] Lower Quartile: [answer2]

Janey is buying a pair of shoes. The pair she wants costs cost $65.99. If the tax rate where she lives is 8.25%, find the final price after sales tax has been applied. 

Find the final price of a toy if the wholesale price is $7.50 and the mark up is 70%. 

Write the translation in coordinate notation.   A coordinate plane shows two congruent rectangles, one in green and one in red. The green rectangle is below the x-axis with vertices A at (1, −2), B at (1, -1), C at (−2, -1), and D at (−2, −2). The red rectangle is above the x-axis with corresponding vertices A′ at (4, 1), B′ at (4, 2), C′ at (1, 2), and D′ at (1, 1). Both rectangles are aligned with the axes, having horizontal top and bottom sides and vertical left and right sides.

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