Points A, B, C are collinear. Point B is in between A and C. Find BC if AC = 16, BC = x + 1, and AB = 3x - 5. 7 7, 5 5 , 6 6 , or 3

Question

Points A, B, C are collinear. Point B is in between A and C. Find BC if 

AC = 16, BC = x + 1, and AB = 3x - 5.

 

1. 7
2. 7
3. 5
4. 5
5. 6
6. 6
7. 3

Answer 1

From segment addition postulate AB + BC = AC so

3x - 5 + x + 1 = 16

4x - 4 = 16

4x = 20

x = 5

so BC = x + 1 = 6