Answer:
The length of AB: 34
Step-by-step explanation:
What are we given?
B = Midpoint of AC
AB = 8x + 2
BC = 5x + 14
|--------------|--------------|
A B C
(This is what your line would look like)
Our equation would be:
AB + BC = AC
(8x + 2) = (5x + 14)
(AB) = (BC)
(Assuming that our line and points are evenly spread out, we can say that they can equal each other)
8x + 2 = 5x +14
- 5x- 2 = -5x -2
---------------------
3x = 12
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
---------------------
x = 4
1) Substitute
(8x + 2) + (5x + 14) = AC
(AB) + ( BC) = AC
AB = 8(4) + 2
32 + 2
= 34
BC = 5(4) + 14 =
20 + 14
= 34
(We may be able to assume that since the length of the line is possible the same for AB and BC this is considered correct)
