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Point g is on line segment fh. given fh = 4x, gh = x, and fg = 2x + 10,determine the numerical length of fg.

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Problem

Point g is on line segment fh. given fh = 4x, gh = x, and fg = 2x + 10,

determine the numerical length of fg.

Solution

From the ingo given we can set up the following equation:

fh= fg + gh

And if we replace we got:

4x= 2x+10 +x

And solving for x we got:

4x = 3x +10

x=10

And now we can find the value of fg like this:

fg= 2*10 + 10 = 20 +10=30

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