Find the measure of the dihedral angle indicated.The figure shown is a right prism whose bases are regular nonagons. Find the measure of the dihedral angle between each lateral face and a base.

A. 144°
B. 140°
C. 90°
D. 40°


Answer: C

Mathematics

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Use the guidelines to evaluate the study. Discuss flaws that you see in the study. A researcher is interested in why Americans have such a high divorce rate. She randomly selects 100 American married couples and 100 Japanese married couples. She invites each couple to come into her office and interviews each couple, asking them about their satisfaction with their marriage. The researcher also notes that a high percentage of the American women had full time jobs outside the home, whereas a high percentage of the Japanese women did not have full time jobs. The researcher concluded that marriages in which the woman has a full time job have a lower rate of success.

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Mathematics

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Mathematics

Solve the problem.The base of a triangle remains constant at 6 feet and the height is allowed to vary. The formula for the area is  Represent the area for  10, and 11 feet as ordered pairs in the form (h, A).

A. (10, 12), (10, 30), (10, 33) B. (5, 12), (11, 30), (12, 33) C. (4, 24), (10, 60), (11, 66) D. (4, 12), (10, 30), (11, 33)

Mathematics

Solve the system by the substitution method.4x - y = 1y = x2 - 6

A. {(-1, -5), (5, 19)} B. {(-1, 7), (5, 31)} C. {(1, -5), (5, 19)} D. {(1, -5), (-5, 19)}

Mathematics