X = -6y - 12
4x + 5y =-39
4x + 5y = -39
-4(-6y - 12) + 5y = -39
-4(-6y) + 4(12) + 5y = -39
24y + 48 + 5y = -39
29y + 48 = -39
29y = -87
y = -3
x = -6y - 12
x = -6(-3) - 12
x = 28 - 12
x = 6
(x, y) = (6, -3)
Answer:
h
=
55
Step-by-step explanation:
Solve for h by simplifying both sides of the equation, then isolating the variable.
By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.
Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

, where

represents the points being passed through.



Answer:
Your teacher is correct.
Step-by-step explanation:
So first we would have to find what A is equivalent to which is 48. This is because 180 - 132 = 48. Since we know that 132 is a supplementary angle, there has to be another supplementary angle that results in the sum of 180.
With this information in mind, we can create the expression:
2x + 4x + 48 = 180 (A triangle is equal to 180 degrees)
Now simply the equation:
6x + 48 = 180
6x = 132
6x/6 = 132/6
x = 22
Angle C = 44
Angle B = 88