The perimeter of a picture frame is 68 inches. The difference between the length of the frame and three times its width is 2. The system of equations
24 +2w = 68
- 3w = 2
represents this situation, where e represents the length in inches and w represents the width in inches.
What is the width of the frame? What is the length of the frame?

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.