Aparallelogram has side lengths of 13 and 17 and an angle that measures 64°. law of cosines: a2 = b2 + c2 – 2bccos(a) what is x, the length of the diagonal, to the nearest whole number? 16 18 19 21

Given: △abc, ab=15, bd=9 ad ⊥ bc , m∠c=30°. find: the perimeter of the triangle.

Abiologist is recording the loss of fish in a pond. he notes the number of fish, f, in the pond on june 1. on july 1 there were 63 fish in the pond, which is 52 fewer fish than were in the pond on june 1. which equation represents this situation? a. f – 52 = 63 b. f – 63 = 52 c. 63 – f = 52 d. f – 63 = –52

One card is dealt from a 52 card deck. find the probability that the dealt card is a 4 or a black 7