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-36. Find the length of the midsegment. The diagram is not to scale.40513x + 251404x + 24A. 23B. -22C. 64D. 32autoon

36 Find The Length Of The Midsegment The Diagram Is Not To Scale40513x 251404x 24A 23B 22C 64D 32autoon class=

Answer :

The given figure is a triangle. According to the triangle midsegment theorem,

midsegment = 1/2 * triangle base

From the diagram,

midsegment = 3x + 2

Base = 4x + 24

By applying the theorem, we have

3x + 2 = 1/2(4x + 24)

2(3x + 2) = 4x + 24

6x + 4 = 4x + 24

6x - 4x = 24 - 4

2x = 20

x = 20/2

x = 10

Thus,

midsegment = 3 * 10 + 2 = 30 + 2

Midsegment = 32

option D is correct

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