Question

multiple - choice question
find the value of x in the diagram above.
$x = 66$
$x = 15$
$x = 33$
rewatch

Explanation:

Step1: Use the mid-segment theorem

The mid - segment of a trapezoid (or in a figure where a line segment connects the mid - points of two non - parallel sides of a quadrilateral - like structure here) is given by the formula \(x=\frac{a + b}{2}\), where \(a\) and \(b\) are the lengths of the two parallel - like 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:

\(x = 33\)