Answer: EF = 52
Explanations:
Let us draw the line EF, and identify the midpoint, D
By properly observing the line drawn above, you would see that EF is the longest line you can trace, and the addition of ED and DF will give you EF:
That is, EF = ED + DF...............(equation 1)
ED = 4x + 6
DF = 7x - 9
Substitute ED and DF written above into equation (1)
EF = (4x + 6) + (7x - 9)
EF = 4x + 7x + 6 - 9
EF = 11x - 3
Since x = 5
EF = 11(5) - 3
EF = 55 - 3
EF = 52
