1. 80 brownies

2. 157.5 degrees

3. The polygon has 20 sides.

4. The probability is 20/64 = 5/16 = .3125.

5. We must have k = 8.

6. The ratio of side lengths is 1+√2.

7. The radius is √10.

8. The solutions are x = 4, 1/4, √2, and √2/2.

TIEBREAKER: There are 102 colorings.