1. a pool company is trying out several new drains. drain a empties a pool at a rate of 2 gal/min. drain b empties a pool at a rate of 5 gal/min. one pool has 108 gal of water in it. write an equation for each drain that shows the amount of time it takes to empty the pool. then solve each equation showing your work.

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?