Answer:
w = -3
Step-by-step explanation:
8w + 12 = -12
use inverse operations:
8w + 12 = -12
-12 -12
8w = -24
/8 /8
w = -3
The distributive property of division over addition and substraction is idk
The triangle is an isosceles triangle so that means the base angles must be congruent.
The sum of the interior angles of a triangle add up to 180 degrees.
Subtract 52 degrees from 180 degrees.
180 - 52 = 128
Divide 128 degrees by 2.
128/2 = 64
m∠X = 64°
Point slope form of a line:

where

is your slope and

is a point on your line.
For a line with a slope of 3/5 that passes through (10, -2)...

Let's plug these values into our formula.

Subtracting by a negative is the same thing as adding (the double negatives cancel), so let's simplify that.

There's our equation in point-slope form. (keep in mind that you're not going to want to distribute that 3/5 or subtract the 2 or anything. You want to keep it similar to the formula.