In segment fh, the midpoint is g. if segments fh = 14x - 4 and fg = 5x + 9, what is the measure of segment fh?
(a) draw this line segment and clearly label all points and given measures.
(b) write the equation that can be made from the above image to solve this problem.
(c) solve the equation correctly for x.
(d) find the length of segment fh.
show all of your work.

(b) 14x - 4 = 2(5x + 9)

(c) x = 5.5

(d) fh = 73

step-by-step explanation:

if g is the midpoint in segment fh, fg and gh have the same length and its length is half the length of fh

fh = 14x - 4

fg = 5x + 9

fh = 2 fg

14x - 4 = 2(5x + 9)

14x - 4 = 10x + 18

4x = 22

x = 5.5

to know the length of fh, replace x for 5.5:

fh = 14(5.5) - 4

fh = 73

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step-by-step explanation: