Hayden decided to take martial arts classes at his local gym. he pays $35 each month for his membership and $12 for every class he takes. in august, hayden paid a total of $107. how many classes did he take?

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?