This triangle has one side that lies on an extended line segment. Based on this triangle, what statement about x is true?

x = 33 because 180−147=33

x = 62 because 147−85=62 and 85 + 62 = 147

x = 95 because 180−85=95 and 85 + 95 = 180

x = 118 because 180 − 147 + 85 = 33 + 85 = 118

What is f(3) for the quadratic functionf(x)=2x2 + x – 12? f -3g 3h 6i. 9

Evaluate cos2θ for cosθ = square root of 3/2

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .