B is the midpoint of Symbol for segment AC.
AB=3x-6
BC=2x+2
What is the value of AB? Show your work for credit.
AB=BC since B is the midpoint.
solve for x.
Then, solve for AB
To find the value of AB, we can set up an equation based on the information given.
According to the problem, B is the midpoint of segment AC. This means that the length of AB is equal to the length of BC.
The length of AB is given as 3x-6, and the length of BC is given as 2x+2.
So, we can set up an equation:
AB = BC
3x-6 = 2x+2
Now, let's solve for x:
3x - 2x = 2 + 6
x = 8
To find the value of AB, we substitute the value of x back into the equation for AB:
AB = 3x-6
AB = 3(8) - 6
AB = 24 - 6
AB = 18
Therefore, the value of AB is 18.