Using the following image, solve the problems below given that Q is the midpoint of PR.

x=18

pq=101

qr=101

pr=202

Step-by-step explanation:

6x-7=5x+11

+5x pasa a restar como -5x al primer miembro y -7 pasa como +7x al segundo miembro y la ecuacion quedaria asi:

6x-5x=11+7

6x-5x=x

11+7=18

entonces x=18

pq=6x-7

pq=6(18)-7

pq=108-7

pq=101

y como se sabe que pq=qr porque hay un punto medio y dos segmentos cuando los divide un punto medio esos dos segmento miden igual entonces

por eso pq=qr

y como pq=101  qr=101

por ultimo

pr=pq+qr

pr=101+101

pr=202

nlgqer

step-by-step

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)