Apolygon has coordinates a(-7, 8), b(-4, 6), c(-4, 3), d(-8, 3), and e(-9, 6). what are the coordinates of its image, polygon a′b′c′d′e′, after a 270° counterclockwise rotation about the origin and a translation 2 units to the left and 3 units up?

Can you simplify 4/7? 24 points will be awarded!

If lmn=xyz, which congruences are true by cpctc? check all that apply

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?