The architect’s side view drawing of a salt-box style house shows a post that supports the roof ridge. The support post is 12 ft tall. The distance from the front of the house to the support post is less than the distance from the post to the back of the house. How far from the front of the house is the support post positioned.

Satchi found a used bookstore that sells pre-owned dvds and cds. dvds cost $9 each, and cds cost $7 each. satchi can spend no more than $45.

Angle xyz is formed by segments xy and yz on the coordinate grid below: a coordinate plane is shown. angle xyz has endpoints at 3 comma negative 1 and 6 negative 2 and 3 comma negative 3 and measures 36.87 degrees. angle xyz is rotated 270 degrees counterclockwise about the origin to form angle x′y′z′. which statement shows the measure of angle x′y′z′?

Find cot x if sin x cot x csc x = √2