1. (07.01 MC) The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:
Earth
Sun
Moon
A scientist measures the angle x and the distance y between the Sun and the moon. Using complete sentences, explain how the scientist can use only these two measurements to
calculate the distance between the Earth and the moon. (10 points)

Solve the system of equations. x=-2y+1 and x+2y=9. show work

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.

Solve the proportionx+1 14 = x-1 20 a. -3/17 b.10/7 c.7/10 or d. -17/3