Sandy cut a 150 centimeter board into 5 pieces. the 3 shortest pieces are the same length and the 2 longer pieces are each 3 centimeters longer than a short piece. how long is each piece of board?

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?