Question

1. what is the value of x? 30 15 12 6

Explanation:

Step1: Apply the mid - segment theorem

The mid - segment theorem states that the length of the mid - segment of a triangle is half the length of the third side. Here, the side with length \(60\) is the third side, and the segment with length \(5x\) is the mid - segment.
So, we have the equation \(5x=\frac{60}{2}\).

Step2: Solve the equation for \(x\)

Simplify the right - hand side of the equation: \(\frac{60}{2} = 30\). Then the equation becomes \(5x=30\).
Divide both sides of the equation by \(5\): \(x=\frac{30}{5}\).

Answer:

\(x = 6\)