When a ball is deflected off a smooth surface, the angles formed by the path of the ball are congruent . Mr. Downey hit the orange ball and it followed the path from point A to B to C as shown below. What was the total distance traveled by the ball from the time Mr. Downey hit the ball (at point A) until it came to rest at the end of the table (at point C ). Round your answer to the nearest whole number ( hint: for your answer, you will need to add segments AB and BC together).

Based on the situation in part a, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. the right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). this function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. the length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden. part d what is the value of g(8) for the function g(x) in part c? what does this value mean in the context of the situation you described in part c?