List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar triangle

From the figure and statement provided, select the proper to prove statement. through a point outside a line one line can be drawn parallel to the line. mn= ab ab + bc= ac mis parallel to ! ab=bc als parallel to b

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) = .

A. what is the area of the base? use complete sentences to explain your reasoning. b. what is the volume of the prism? use complete sentences to explain your reasoning.