Answer:
KI = 84
Explanation:
Hello!
The distance between the endpoints to the midpoint is the same.
That means that 4x + 2 = 5x - 8. We can solve for x in this equation.
Solve for x
- 4x + 2 = 5x - 8
- 4x + 10 = 5x
- 10 = x
The value of x is 10, but we are asked to solve for the measure of KI.
We can do that by adding the equations together and plugging in 10 for x.
Find KI
- 4x + 2 + 5x - 8
- 9x - 6
- 9(10) - 6
- 90 - 6
- 84
The measure of KI is 84.