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

4

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

Answer 2

KL = 3

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