Question

multiple - choice question
find the value of x in the diagram above.

x = 66

x = 15

x = 33

rewatch

Explanation:

Step1: Apply the mid - segment theorem of a trapezoid

The mid - segment theorem of a trapezoid states that the length of the mid - segment \(x=\frac{a + b}{2}\), where \(a\) and \(b\) are the lengths of the parallel sides of the trapezoid. Here, \(a = 18\) 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:

\(x = 33\)