20 points! i need somebody to explain this to me for D + 4 < 7.
i get the answer 3 but if it's 3 then at the end when im checking my work it ends up being D + 4 < 7
3 + 4 < 7
7 < 7 which is saying 7 is less than 7 ? what am i doing wrong

Assuming there is no line under the "less than" sign, this means D + 4 < 7 solves to D < 3, which is what I'm assuming you got. This is found by subtracting 4 from both sides.

Writing D < 3 means D is some number less than 3. A solution is just that. You cannot pick 3 itself because 3 is not less than 3. But you can pick something like 2 since it is less than 3.

D+4 < 7

2+4 < 7 ... replace D with 2

6 < 7 ... true

Or D could be 1

D+4 < 7

1+4 < 7

5 < 7 true

and so on.

linear pair postulates

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)