The given angles are complementary, therefore:
(5r + 5) + (8r -6) = 90°
13r - 1 = 90
13r - 1 + 1 = 90 + 1
13r = 91
13r/13 = 91/13
r = 7
Answer:
Width = 
Step-by-step explanation:
All we have to do is to use the method of changing the subject. First we know that length * width is equal to area.
Area = length * width
We have the area and the length but we don't have the width. So we substitute the values we have int the equation and make the width (w) the subject.
(c^2 - 4x - 12) = (x + 2) * w
(c^2 - 4x - 12) = w(x +2)
Divide both sides by (x+2) so w can stand alone.

w = 
With $17.50 she can get 11 2/3 gallons. 11 (she just got) + 8 (that she had) = 19 gallons. 19 x 27 MPG = 513 Miles.
27 divided by 3 = 9 (9 is a third of the MPG) 9 x 2 (since it was 2 thirds that were left) = 18
In total she can drive 531 miles.
Answer:
24
Step-by-step explanation:
definition of coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y)
Simplify 2.5 + 13.5 to 16
10 × 16
Simplify
160