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Answer :

Answer:

FG - it is midline. FG = 5.

Explanation:

A midline in a triangle is a line segment connecting the midpoints of two sides.

A midline is half the length of the side to which it is parallel.

[tex]\dfrac{CE}{FG} =2\\\\ \dfrac{9x-26}{7x-23} =2\\\\9x-26=2(7x-23)\\9x-26=14x-46\\14x-9x=46-26\\5x=20\\x=4[/tex]

CE = 9 · 4 - 26 = 10

FG = 10/2 = 5