In ΔQRS, the measure of ∠S=90°, QS = 12, RQ = 13, and SR = 5. What is the value of the tangent of ∠R to the nearest hundredth?

Suppose that one doll house uses the 1 inch scale, meaning that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. if the doll house is 108 inches wide, what is the width of the full-sized house that it's modeled after? in inches and feet.

The perimeter of a rectangular rug is 24 feet. the length of the rug is 1 2/5 i s width. what is the area of the rug

If the angle bisectors of a pair of opposite angles of a quadrilateral are the opposite sides of a parallelogram formed by the two angle bisectors and two sides of the quadrilateral, is the quadrilateral always a parallelogram? explain your answer.