Given ab = 14x - 7 and ac = 35 and b is the midpoint of segment ac. what is the value of x? what is the value of ab? what is the value of bc? be sure to show your work and all three answers? (u2l3 or b.2, b.3, b.4 & b.5)

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

Value of x = 1.75

Value of AB = 17.5 and

Value of BC = 17.5.

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