Question

Given F is the midpoint of EG. FE is 6x + 7 and EG is 18x - 4. What is the value of x?

Answer 1

 Mid point of a segment divides the segment in two equal parts.

Value of x is 3.

  It's given in the question,

• EG = (18x - 4)

• F is the midpoint of EG.

Therefore, EF = FG = (6x + 7)

And EF + FG = EG (By segment addition postulate)

Now substitute the values in the expression

(6x + 7) + (6x + 7) = (18x - 4)

12x + 14 = 18x - 4

12x - 18x = -14 - 4

-6x = -18

x = 3

            Therefore, the value of x is 3.

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