Note that PQRS has vertices P (4,-2) ,Q (2,1) , R(-5,-1), and S (-3,-4) . Complete the following to determine if PQRS is a parallelogram.

The triangles are similar. what is the value of x? enter your answer in the box. x = two right triangles. the larger right triangle is labeled x on the longer leg, 12 on the shorter leg and 20 on the hypotenuse. the smaller triangle is labeled 4 on the longer leg, 3 on the shorter leg, and 5 on the hypotenuse.

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.

Hurry the figure shows the front side of a metal desk in the shape of a trapezoid.what is the area of this trapezoid? 10 ft²16 ft²32 ft²61 ft²