In 2011, there were 9 fewer democratic state governors than republican state governors. Find the number of state governors from each party. Rhode Island had an independent governor, so use a total of 49, representing the other 49 states.

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

The figure shows the front side of a metal desk in the shape of a trapezoid. what is the area of this trapezoid? 10 ft²16 ft²32 ft²61 ft²

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle