Complete the two-column proof by providing the missing statements or reasons. Given: ABCD is rhombus Prove: ∠1≅∠2
Statement Reason
1. 1. Given
2. AD=BC =CD=BA 2.
3. DO=OB;AO=OC 3. Diagonals of a parallelogram bisect each other.
4.ΔDOC≅ΔBOA 4.
5. ∠1≅∠2 5.

Abe is a triangle. can you use the sss postulate or the sas postulate to prove triangle abc = triangle aed? by sss only neither apply both apply by sas only

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

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) = .