Oliver wants to ride his bicycle 43.6 miles this week. He has already ridden 13 miles. If he rides for 6 more days, which tape diagram could be used to represent the context if x represents the average number of miles he would have to ride to meet his goal?

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?