Answer:
x=5
Step-by-step explanation:
The midsegment of a trapezoid is equal to the sum of the two bases divided by two. This means that 17 = (2x + 1 + 3x + 8)/2. To start, multiply both sides by 2 to get 34 = 2x + 1 + 3x + 8. Next, combine like terms to get 34 = 5x + 9. Subtract 9 from both sides for 25 = 5x. Finally, divide both sides by 5 to get an x-value of 5.
