Three friends all have ages that are consecutive integers. the sum of their ages is 180. what is the age of the oldest friend?

Step-by-step explanation:

Oldest friend=X+2; Middle friend=X+1; Youngest friend=X

X+(X+1)+(X+2)=180

3X+3=180 Subtract 3 from each side.

3X=177 Divide each side by 3

X=59 Youngest friend is 59.

X+2=59+2=61 ANSWER: Oldest friend is 61.

X+2=59+1=60 Middle friend is 60.

CHECK:

Sum is 180

59+60+61=180

180=180

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)