Given: ∠A and ∠B are supplementary angles. m∠A=4x−16; m∠B=2x+4

Prove: m∠B=68°

Drag and drop reasons into the boxes to correctly complete the proof.

Statement Reason
∠A and ∠B are supplementary angles. Given
m∠A=4x−16; m∠B=2x+4 Given
m∠A+m∠B=180° Definition of supplementary angles
4x−16+2x+4=180 Response area
6x−16+4=180 Simplify.
6x−12=180 Simplify.
6x=192 Response area
x=32 Response area
m∠B=2(32)+4 Substitution Property of Equality
m∠B=64+4 Simplify.
m∠B=68° Simplify.

19.side- angle- side

20. angle- side- angle

step-by-step explanation:

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)

this may not be at all, but i use the same website you're using for school, and if i'm stuck doing one of these i try to look for it on the section.