What is the solution to the linear equation? d – 10 – 2d + 7 = 8 + d – 10 – 3d

d = 1 .

Step-by-step explanation:

Given : d – 10 – 2d + 7 = 8 + d – 10 – 3d.

To find : What is the solution to the linear equation.

Solution : We have given

d – 10 – 2d + 7 = 8 + d – 10 – 3d.

Combine like terms

d - 2d -10 + 7 = 8 -10 +d -3d .

-d - 3 = -2 -2d .

On adding both sides by 2d

-d + 2d -3 = -2 .

d - 3 = -2 .

On adding both sides by 3

d = -2 + 3.

d = 1 .

Therefore, d = 1 .

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

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)