Answer:
The midsegment is 58 units long.
Step-by-step explanation:
Midsegment Theorem:
It states that the length of the midsegment is half the length of the parallel side.
In this question:
Midsegment: 2x + 8
Parallel side: 5x - 9
Parallel side is double the midsegment. So, we use this to find x:
[tex]5x - 9 = 2(2x + 8)[/tex]
[tex]5x - 9 = 4x + 16[/tex]
[tex]x = 25[/tex]
Midsegment:
[tex]2x + 8 = 2(25) + 8 = 50 + 8 = 58[/tex]
The midsegment is 58 units long.
