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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.
given triangle PQR with vertices P(0,-8), Q(4,-9) and R(-2,-3), find the length of the midsegment connecting the midpoint of PQ to the midpoint of PR
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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