Respuesta :
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
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.