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solve for x. figure is not drawn to scale, 7x 140 x = 20 add work > nex…

Question

solve for x. figure is not drawn to scale, 7x 140 x = 20 add work > next question

Explanation:

Step1: Apply the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length.
So, \(7x=\frac{1}{2}\times140\)

Step2: Solve the equation for \(x\)

First, simplify the right - hand side: \(\frac{1}{2}\times140 = 70\). Then the equation becomes \(7x=70\).
Divide both sides by \(7\): \(x=\frac{70}{7}\)

Answer:

\(x = 10\)