Lydia is trying to prove that a quadrilateral in a coordinate plane is a square. first, she uses the slope formula to prove that there are two pairs of parallel sides. next, she uses the distance formula to prove that all sides are equal. what additional step must lydia perform before reaching a conclusion that the quadrilateral is a square?

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is (cxd)(x)

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

You have a 32-foot fence around a square garden. there are 4 equal sections. you paint 13 of one section of the fence. what fraction of the fence did you paint? you have a 32-foot fence around a square garden. there are 4 equal sections. you paint 13 of one section of the fence. what fraction of the fence did you paint?