Luca shows his work in finding the solution to 2−6x=5−5(x−1) . after checking his answer in the original equation, he found that it did not work. where did he make a mistake?

What is the distance between point a and b

If the value of cos330°is√3/2 then find cos 165°.

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.