A board 10ft long is cut into two pieces. Four times the length of the shorter piece is 2ft less than two times the length of the longer piece. Find length of the longer piece.

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)

In a column proof the right column states your reasons

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?