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In the figure below, what value of x will satisfy the midsegment theorem

In the figure below, what value of x will satisfy the midsegment theorem-example-1
User Rafique
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1 Answer

23 votes
23 votes

G is the midpoint of SR, and H is the midpoint of RQ.

GH is parallel to SQ

According to the Midsegment theorem

GH = 1/2 SQ

Replacing:

4x-65 = 1/2 ( 2x-4 )

Solve for x:

4x - 65 = 1/2 (2x) + 1/2 (-4)

4x- 65 = x - 2

Combine like terms:

4x -x = -2+65

3x = 63

x = 63/3

x=21

User Frank De Jonge
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2.7k points