Question

B is the midpoint of ac; ab = 9x+1, bc=2x+15

Answer 1

Question:

B is the midpoint of ac; ab = 9x + 1, bc = 2x + 15

To find ac you have to make into this form of equation:

9x + 1 = 2x + 15

Steps:

1. Subtract 1 from both sides:

• 9x + 1 - 1 = 2x + 15 - 1

2. Simplify,

• 9x = 2x + 14

3. Then, subtract 2x from both sides

• 9x - 2x = 2x - 2x + 14

4. Simplify,

• 7x = 14

5. Then, divide both sides by 7

• 7x/7 = 14/7

6. Simplify,

• x = 2

So to find ac plug 2 in the x

9(2) + 1 + 2(2) + 15

7. Simplify,

• 18 + 1 + 4 + 15
• = 38 which is the answer to ac

Hope that helped!!!

~Serina

Answer 2

AB = BC since B is the midpoint

9x + 1 = 2x + 15

7x = 14

x = 2

AC = 9(2) + 1 + 2(2) + 15 = 19 + 19 = 38 units.