Point K is on line segment \overline{JL} JL . Given JL=4x, JL=4x, JK=2x+3,JK=2x+3, and KL=x, KL=x, determine the numerical length of \overline{KL}. KL .

KL = 3

Step-by-step explanation:

Point K is on line segment \overline{JL} JL .

Given:

JL=4x

JK=2x+3

KL=x

Determine the numerical length of KL .

Note that:

JKL

JK + KL = JL

Step 1

We solve for x

JL = JK + KL

4x = 2x + 3 + x

4x = 3x + 3

Collect like terms

4x - 3x = 3

x = 3

Step 2

We solve for KL

KL = x

x = 3

Hence,

KL = 3