trapezoid median calculation
Check the final answer first, then review the worked steps.
Problem
trapezoid median calculation
Step-by-step solution
The median of a trapezoid is the average of the bases: $x + 15 = \frac{(9x - 42) + 30}{2}$. Multiplying by 2 gives $2x + 30 = 9x - 12$, so $7x = 42$, which means $x = 6$.
Answer
6