Question

I need the answers to the 2 blanks

Answer 1

We know that JL has two parts JK and KL. JL is equal to the sum of these two parts.

JL = JK + KL

Let's plug the expressions from the picture into the equation above.

2x + 8 = 2x - 2+ x - 9

Combine like terms

2x + 8 = 3x - 11

Add 11 to both sides and subtract 2x from both sides.

19 = x

KL = x - 9 = 19 - 9 = 10

In conclusion,

The value of x = 19

The length of line segment KL is 10