George is playing pool, but there is a large gouge running all the way across the table. when he hits the ball, it bounces off the opposite side as he intended but then gets diverted by the gouge. the path of the ball can be modeled by the function f x( )= −x 3 , and the gouge can be modeled by the function g(x) = 2x2 – 30x + 89. the corners of the table correspond to the coordinates (0, 0), (8, 0), (8, 4), and (0, 4).

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap