What is the measure of this angle?

The triangles are similar. what is the value of x? show your work.

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?

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?