Two sides and an angle are given. First, determine whether the given information results in no triangle, one triangle, or two triangles. Solve each resulting triangle.b = 4, c = 8, B = 65°
A. no triangle
B. one triangle; C = 32°, A = 83°, a = 14
C. one triangle; C = 34°, A = 81°, a = 16
D. one triangle; B = 33°, A = 82°, a = 12
Answer: A
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Use the preference table to answer the question.A condominium association is holding an election for president of the board of directors. Each member ranks the candidates from first to fourth. The preference table below shows the results of the ballots with candidates Abbott(A), Blake (B), Cleary (C), and Downs (D). Determine the winner using the plurality method.
A. Downs B. Abbott C. Blake D. Cleary
Solve the given equation.
Suppose that F(x) = f(g(x)) and g(14) = 2, (14) = 4,
(14) = 15, and
(2) = 13. Find
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Solve the problem.In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum is 96 and the U.S. won more than China who won more than Romania, how many medals did each team win?
A. U.S.: 33 medals; China: 32 medals; Romania: 31 medals B. U.S.: 98 medals; China: 97 medals; Romania: 96 medals C. U.S.: 34 medals; China: 33 medals; Romania: 32 medals D. U.S.: 31 medals; China: 30 medals; Romania: 29 medals