Question

Find the length of BC.

Answer 1

B) 8

Explanation:

The Segment Addition Postulate basically states that the sum of the segments of a line will equal the length of the entire line.

Thus, AB+BC=AC, and we can substitute:

AB+BC=AC

(4x+8)+(3x-4)=32

4x+8+3x-4=32

7x+4=32

7x=28

x=4

Now that we have x, we can plug it in for segment BC:

BC=3x-4

3(4)-4

12-4

8

Therefore, choice B is correct

Answer 2

BC = 8

Explanation:

AB + BC = AC

4x + 8 + 3x - 4 = 32

7x + 4 = 32

7x = 32 - 4

7x = 28

x = 28/7

x = 4

BC = 3x - 4 = 3*4 - 4 = 12 - 4 = 8