Question

Find the value of x if A, B, and C are collinear points and B is between A and C.
AB=12,BC=5x−2,AC=3x+20
A. 2
B. 7
C. 6
D. 5

Answer 1

Answer:

D. 5

Step-by-step explanation:

AC = AB + BC

Substituting what we know

3x+20 = 12 + 5x-2

Combining like terms

3x+20 = 10 +5x

Subtract 3x from each side

3x+20-3x = 10 +5x-3x

20 = 10+2x

Subtract 10 from each side

20-10 = 10-10 +2x

10 = 2x

Divide by 2

10/2 =2x/2

5 =x