The value of x for the given segment is 29.
What is mid segment?
A line joining the midpoints of two sides of a triangle.
Length of the midsegment of a trapezoid is the average length of the bases,
i.e. LM = (AB+DC)/2
4x + 3 = ((x+8) + 201)) /2
On multiply by 2 both side,
2 X 4x + 3 = ((x+8) + 201)) X 2/2
8x + 6 = x+ 209
on substracting 6 from both sides,
8x + 6 -6 = x + 209 -6
8x = x +203
On substracting x from both side
8x-x =x -x +203
7x = 203
on dividing 7 both side, we get
7x/7 = 203/7
X = 29
Thus, The value of x for the given segment is 29.
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