Answer:
C. [tex]42[/tex]
Step-by-step explanation:
This is what is called the Midsegment Theorem, which states that the relation of a triangle's midpunkt is parallel to the triangle's third side, and the mid-segment length is half the third side length, so you would take half of [tex]4x + 44[/tex] and set that expression equal to the midsegment:
4x + 2 = 2x + 22
-4x - 4x
____________
2 = −2x + 22
-22 - 22
___________
[tex]\frac{-20}{-2} = \frac{-2x}{-2} \\ \\ 10 = x[/tex]
You then plug this back into both expressions above to get the double-segment of 84 and the mid-segment of 42. We can tell this is correct because 42 and 84 are relatively proportional to each other.
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