Definition: Vertical Angles
Vertical angles are a pair of non-adjacent angles formed when two lines intersect.
L = 3 + 2w
Find the width
Area = 54
l × w = 54
(3 + 2w) × w = 54
3w + 2w^2 = 54
2w^2 + 3w - 54 = 0
(2w - 9)(w + 6) = 0
w = 9/2 or w = -6 (width shouldn't be negative)
w = 9/2
w = 4.5 m
Find the length
l = 3 + 2w
l = 3 + 2(4.5)
l = 3 + 9
l = 12 m
The width is 4.5 m, the length is 12 m
Simplifying
4x + -3y = 12
Solving
4x + -3y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
4x + -3y + 3y = 12 + 3y
Combine like terms: -3y + 3y = 0
4x + 0 = 12 + 3y
4x = 12 + 3y
Divide each side by '4'.
x = 3 + 0.75y
Simplifying
x = 3 + 0.75y
Answer:
Mila had $48 initially
Step-by-step explanation:
Let the amount of money they had be x
Mila spent $42; what is left would be x-42
Samuel spent $36: what is left would be x-36
So, what Mila had left is half of what Samuel has; that would be;
x-42 = 1/2(x-36)
2(x-42) = x -36
2x-84 = x -36
2x - x = 84 -36
x = $48
