Given m∠6 + m∠7 = 180, which postulate or theorem justifies that ℓ || m?

Adecorative window is made up of a rectangle with semicircles at either end. the ratio of ad to ab is 3: 2 and ab is 30 inches. what is the ratio of the area of the rectangle to the combined area of the semicircles? possible answers: a. 2: 3 b. 3: 2 c. 6: π d. 9: π e. 30: π

1yd 1 ft = 1 1/12 1 1/3 1 1/2 1 1/6

How many ordered pairs of positive integers satisfy xy=32?