suppose that mza = mzd. which other fact would guarantee that the triangles are similar?
abb
de
fe
m2c = mzf
m2a +mzb-mzc = 180°
180° - m2d = m ze - mzf

How do you find principle and simple interest

Divide. reduce the answer to lowest terms.5 2/3 ÷ 3 1/9

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) = .