Question

Points A, B, and C are collinear and A is between B and C.

AB = 4x-3, BC = 7x+5, and AC = 5x-16.
Find each value.
1. BC (answer: 89)
2. AB (answer: 45)
3. AC (answer: 44)

(i know the answer, i just don’t know how to do it)
PLEASE SHOW YOUR WORK. THANK YOU!

Answer 1

"Process is shown below"

Explanation:

Since collinear, they are on the same line. They are positioned as below:

B-----------------------A-------------------C

AB, BC, and AC's expressions are given.

To find BC, first looking at the picture, we can say:

BC = AB + AC

Putting the expressions and solving for x:

7x+5 = 4x - 3 + 5x - 16

7x + 5 = 9x - 19

19 + 5 = 9x - 7x

24 = 2x

x = 12

1. BC = 7x + 5 = 7(12) + 5 = 89

2. AB = 4x - 3 = 4(12) - 3 = 48 - 3 = 45

3. AC = 5x - 16 = 5(12) - 16 = 60 - 16 = 44

Shown