Two similar pyramids have volumes in a ratio of 27:64. What is the ratio of their heights? (meaning the original scale factor) Please type your answer in the form of a ratio (x:y) with no spaces.

Is δ pmr similar to δ smn ? if so, which postulate or theorem proves these two triangles are similar?

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

Joe has a rectangular chicken coop. the length of the coop is 4 feet less than twice the width. the area of the chicken coop is 510 square feet. what is the length of the chicken coup?