Use the Law of Syllogism to form a new conditional statement that follows from the pair of true statements. If BD−→− bisects ∠ABC, then ∠ABD≅∠CBD.

If ∠ABD≅∠CBD, then m∠ABD=12( m∠ABC).

Apark is in the shape of a rectangle. the park authorities are planning to build a 2-meter-wide jogging path in the park (shown as the shaded region in the image). what is the area of the jogging path? plz

What is the measure of ac? 5 units 13 units 26 units 39 units 3x- 2b 6x + 9

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) = .