We are given AB = 14x -7.
AC= 35.
B is the mid point of AC.
Therefore,
AB = BC
We have AB = 14x -7.
Therefore, BC also = AB = 14x -7.
AB+BC = AC.
Plugging values of AB, BC and AC in the equation, we get
14x -7 + 14x -7 = 35
Combining like terms, we get
28x -14 = 35.
Adding 14 on both sides, we get
28x -14+14 = 35+14
28x = 49
Dividing both sides by 28, we get
x=1.75.
Plugging value of x=1.75 in expression for AB = 14x -7, we get
AB= 14*(1.75) -7
AB = 24.5 -7 = 17.5.
AB= BC.
Therefore, BC = 17.5.
Therefore, final answer:
Value of x = 1.75
Value of AB = 17.5 and
Value of BC = 17.5.