The arithmetic mean of two numbers is 18 and the geometric mean is 16. find the sum of squares of the numbers

Two rigid transformations are used to map abc to qrs. the first is a translation of vertex b to vertex r. what is the second transformation? a reflection across the line containing ab a rotation about point b a reflection across the line containing cb a rotation about point c

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

If you are dealt 4 cards from a shuffled deck of 52? cards, find the probability that all 4 cards are diamondsdiamonds.