Question

1. $x = ________$

Explanation:

Step1: Recall mid - segment formula

For a trapezoid with bases \(a\) and \(b\) and mid - segment \(m\), the formula is \(m=\frac{a + b}{2}\). Here, \(a = 27\), \(b=39\), and \(x\) is the mid - segment.

Step2: Substitute values into formula

\(x=\frac{27 + 39}{2}\).

Step3: Calculate the sum in the numerator

\(27+39 = 66\).

Step4: Divide by 2

\(x=\frac{66}{2}=33\).

Answer:

33