Question

find the value of x in the diagram above.

Explanation:

Step1: Apply the trapezoid mid - segment theorem

The mid - segment of a trapezoid is parallel to the bases and its length is the average of the lengths of the two bases. The formula is \(x=\frac{a + b}{2}\), where \(a = 18\) and \(b = 48\).

Step2: Calculate the value of \(x\)

Substitute \(a = 18\) and \(b = 48\) into the formula: \(x=\frac{18 + 48}{2}\).
First, calculate the sum in the numerator: \(18+48 = 66\).
Then, divide by 2: \(x=\frac{66}{2}=33\).

Answer:

\(33\)