Use the following figure and information to complete the proof. Given: m∠4+m∠5=180∘
Prove: m∥n

Match each numbered statement in the proof to its correct reason.

1. m∠4+m∠5=180∘ :

2. ∠4 and ∠5 are supplementary angles. :

3. ∠4 and ∠5 are same-side interior angles. :

4. m∥n :

Options to match:

Definition of supplementary angles
Given
Definition of same-side interior angles
Converse of the same-side interior angles theorem

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

answer: 89 x 5

step-by-step explanation:

we are given dimensions of the sketch :

length = 12 inches.

width = 18 inches.

given scale factor = 0.2.

the actual dimensions of the mural would be: the sketch dimensions divide by scale factor.

(because the mural would be larger than the sketch dimensions).

we need to find the actualy length of the mural.

therefore,

the length of the mural = 12 inches ÷ 0.2 = 60 inches.