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

The mid - segment of a trapezoid (or in this case, a figure where the line segment \(x\) is the mid - segment) has a length formula \(x=\frac{a + b}{2}\), where \(a\) and \(b\) are the lengths of the two parallel sides. 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:

\(x = 33\)