There were 203 tickets sold for a wrestling match. For activity card holders the price was
$1.25 and for non-card holders the price was
$2.00. The total amount of money collected was
$310. How many of each type of tickets were
sold?

M∠aoc is a straight angle angle boc = 6x + 29 m∠boc=6x+29 angle aob = 3x + 124 m∠aob=3x+124 ∘ find angle boc

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) = .

Can someone tell me if this is perpendicular? !