Molly's Great-Grandma Pat is turning 100 years old! The family throws her a party, and Molly helps her open a large stack of birthday cards. After opening 23 cards, they stop so Grandma Pat can blow out the birthday candles. Molly and Grandma Pat leave the remaining 64 cards for later. Use an equation to find the total number of birthday cards in the stack.

Determine whether the quadrilateral below is a parallelogram. justify/explain your answer (this means back it up! give specific information that supports your decision. writing just "yes" or "no" will result in no credit.)

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

Match the one-to-one functions with their inverse functions.