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Answer: x= ..
Step-by-step explanation: We are given a segment parallel to the base.
Therefore, sides of big triangle and small triangles would be in proportion.
Setting values for the shown triangle, we get
On cross multiplication, we get
16(2x+7) = 38(x)
32x + 112 = 38x.
Subtracting 112 from both sides, we get
32x + 112-112 = 38x -112
32x = 38x-112
Subtracting 38x from both sides, we get
32x-38x = 38x-38x-112
-6x = -112
Dividing both sides by -6, we get
x= ..