Point H is on line segment \overline{GI} GI . Given GI=5x,GI=5x, HI=3x-8,HI=3x−8, and GH=3x,GH=3x, determine the numerical length of \overline{GH}. GH .

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given H is the midpoint of GI. the length of GH is represented by 4x-5 and the length of HI is represented by 3x+20. find the value of x and the measures of GI, Gh, and HI.

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it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point B is the midpoint No. I answered the same question last week. The total length of 10 would have to be equal to 7x + 5. That means 7x = 5 x = 5/7 You have an additional requirement that

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The measure of the segment GH is 24 units

The midpoint of a line is the point that divides the line into two equal parts.

Given the following segments

  • GI=5x
  • HI=3x-8
  • GH = 3x

If Point H is on the line segment GI, then:

GH + HI = GI

Substitute the given values into the expressions above:

3x + 3x - 8 = 5x

6x - 8 = 5x

6x - 5x  = 0 + 8

x = 8

Get the segment GH:

GH = 3x

GH = 3(8)

GH = 24

Hence the measure of the segment GH is 24 units.

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