Margo can purchase tile at a store for $0.69 per tile and rent a tile saw for $32. At another store she can
borrow the tile saw for free if she buys tiles there for $1.49 per tile. How many tiles must she buy for the
cost to be the same at both stores?

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.