Two supporting reasons are missing from the proof. complete the proof by dragging and dropping the appropriate reasons into each of the empty boxes. given: m∥nm∠1=120° prove: m∠6=60° the figure shows what appear to be parallel lines n and m rising from left to right with line m above line n. line p rises slightly from left to right first intersecting line n, then line m. the angles formed by the intersection of lines p and m are numbered from 1 through 4 in a clockwise direction starting with angle 1 which is located above line m and to the left of line p. the angles formed by the intersection of lines p and n are numbered 5 through 8 in a clockwise direction with angle 5 above line n and to the left of line p. statements reasons m∥nm∠1=120° given ∠5≅∠1 m∠5=m∠1 angle congruence postulate m∠5=120° substitution property of equality m∠6+m∠5=180° m∠6+120°=180° substitution property of equality m∠6=60° subtraction property of equality linear pair postulatealternate interior angles theoremsubstitution property of equalitycorresponding angles postulate

The first one would be corresponding angles postulate and the second one is linear pair postulate.

The Dude above is Right

Step-by-step explanation:

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240