Solve.In a triangle, the measure of the first angle is four times the measure of the second angle. The measure of the third angle is 162° more than the second angle. What is the measure of the first angle?

A. 57°
B. 3°
C. 165°
D. 12°


Answer: D

Mathematics

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Refer to the weighted voting system  and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)What is the total number of winning coalitions?

A. 5 B. 15 C. 3 D. 1 E. none of these

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Find a unit vector in the direction of the given vector.

A.

B.

C.

D.

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Find the number of x-intercepts for the function. f(x) = 5x2 - 3x + 7

A. One B. Two C. None

Mathematics

Find the inverse of the function and state its domain and range .{(9, 1), (7, 2), (5, 3), (3, 4)}

A. ; D = { 9, 7, 5, 3}, R = 
B. {(2, 1), (4, 5), (9, 5), (2, 3)}; D = {2, 4, 9}; R = {1, 5, 3}
C. {(1, 9), (2, 7), (3, 5), (4, 3)}; D = {1, 2, 3, 4 }; R = {9, 7, 5, 3}
D. {(2, 1), (1, 5), (9, 7), (2, 3)}; D = {(2, 1, 9}; R = {(1, 5 7, 3}

Mathematics