Answer:
D. 12
Step-by-step explanation:
Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:
AB/AD = CB/CD
Substitute
AB/8 = 6/4
Cross multiply
AB*4 = 6*8
AB*4 = 48
AB = 48/4
AB = 12
91/100 is already in simplest form
1.x^2 +6x - 4 = 6x
X^2 + 6x -4 - 6x = 0
X^2 - 4 = 0
By difference of two squares :
X^2 - 4 = 0 can be written as (x-2) (x+2) = 0
(X-2)=0 therefore x= 2
(X+2)=0 therefore x= -2
2. X^2 - 8x = -6x
X^2 -8x + 6x = 0
X^2 - 2x = 0
X(X-2) = 0
X= 0, X= 2
156/4=39 miles per gallon. 39*12 gallons is 468 miles, and 6 gallons is 234.
