Karl just had a birthday. Karl’s age is now 50% of his uncle’s age. Karl’s uncle is 32 years old. How old is Karl?

What is the remainder when 2872 is divided by 76? a) 51 b) 57 c) 60 d) 63

Non-euclidean geometry was discovered when, in seeking cleaner alternatives to the fifth postulate, it was found that the negation could also be true a. true b.false

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.