Question

Given JL=4x,JL=4x, JK=2x+3,JK=2x+3, and KL=x,KL=x, determine the numerical length of \overline{KL}.
KL
.

Answer 1

Answer:

  KL = 3

Step-by-step explanation:

It appears we are to assume that K lies between J and L, so we have ...

  JK +KL = JL

  (2x+3) +(x) = (4x)

  3x +3 = 4x

  3 = x . . . . . . . subtract 3x

KL = 3

Answer 2

Answer:

4

Step-by-step explanation:

JL  =  JK + KL Additive Property of Length

4x + 5  =  (5x − 1) + 2x Plug in JL = 4x + 5, JK = 5x − 1, and KL = 2x

4x + 5  =  7x − 1 Add

4x + 6  =  7x Add 1 to both sides

6  =  3x Subtract 4x from both sides

2  =  x Divide both sides by 3

Now, use the value of x to find KL.

KL  =  2x Given

KL  =  2(2) Pluginx = 2

KL  =  4 Multiply