Midsegment of triangle Find X

Accepted Solution

Answer:[tex]10 = x[/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 + 20[/tex] and set that expression equal to the midsegment:2x + 10 = 3x-2x - 2x____________[tex]10 = x[/tex]You then plug this back into both expressions above to get the double-segment of 60 and the mid-segment of 30. We can tell this is correct because 30 and 60 are relatively proportional to each other.I am joyous to assist you anytime.