What is the measure of the missing angle? a. 120 b. 100 c. 40 d. 80

Cherie measures and records the lengths and sizes of the same style of a sandal found at a shoe store. which equation can be used to determine the approximate shoe size, s, for a foot length of x inches? s = x – 2 s = 2x – 10 s = x + 6 s = 2x + 4

Abc will undergo two transformations to give aa'b'c' which pair of transformations will give a different image of aabc if the order of the transformations is reversed? a. a rotation 90' counterclockwise about the origin followed by a reflection across the y-axis b a translation 5 units down followed by a translation 4 units to the right c. a reflection across the x-axis followed by a reflection across the y-axis a rotation 180'clockwise about the ongin followed by a reflection across the y-axis reset next 2 omentum all rights reserved o atk me anything o o e

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) = .