AB=2x+9,BC=4x-5
What is your question?
if B is the midpoint of AC, then
AB = BC
2x+9 = 4x-5
2x = 14
x = 7
AB = BC = 23
If that's not what was wanted, then we're back to Ms. Sue's question, since you didn't ask one.
To find the value of x, we can use the fact that AB + BC = AC, where AC represents the length of the entire line segment from point A to point C.
In this case, AB = 2x + 9 and BC = 4x - 5. So we can substitute these values into the equation AB + BC = AC:
(2x + 9) + (4x - 5) = AC
Now we simplify the equation by combining like terms:
6x + 4 = AC
We need more information to be able to solve for x. Is there any additional information provided in the problem?