The regular octagon ABCDEFGH rotates 135º clockwise about its center to form octagon A′B′C′D′E′F′G′H′. Point A′ of the image coincides with point ? of the preimage. Point B′ of the image coincides with point ? of the preimage.

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) = .

Adistribution has the five-number summary shown below. what is the third quartile, q3, of this distribution? 22, 34, 41, 55, 62

Tanyss's house has 25 windows. her brother has washed 22 of the windows. what percent of the windows has her brother washed?