Point B is between points A and C. Find the length of AC if AB = 3x - 2, BC = 2x + 7 and AC = 4x + 10

Question

asked Jan 6, 2021 122k views

1 Answer

Courage · Answer 1 · 2021-01-12T06:05:13+0000

Answer:

AC = 30

Explanation:

Start with:

4x+10=3x-2+2x+7

Combine like terms.

4x+10=5x+5

Subtract
from both sides of the equation.

10=x+5

Subtract
from both sides of the equation.

x = 5

Then, substitute
for
in
AC=4x+10

AC=4(5)+10

Multiply.

AC=20+10

Finally, add.

AC=30