Question

K is between J and L. JK = 3x – 5, and KL = 2x + 1. IfJL = 16, what is JK?

A. 7
B. 8
C. 9
D. 13

Answer 1

If JL = 16, we will get JK = 7

Option A is correct option.

Explanation:

We are given:

K is between J and L

JK = 3x – 5, and KL = 2x + 1.

IfJL = 16, what is JK

We know that K is between J and L it means it divides JL into JK and KL equally or we can say that adding JK and KL we can get JL

So, We can write:

`JL = JK + KL\\16=3x-5+2x+1`

Solving the expression we can find first value of x and then value of JK

`16=3x-5+2x+1\\16=5x-4\\16+4=5x\\20=5x\\x=(20)/(5)\\x=4`

So, we get x = 4

Now, put the value of x in JK=3x-5 to get value of JK

`JK = 3x-5\\JK=3(4)-5\\JK = 12-5\\JK=7`

So, if JL = 16, we will get JK = 7

Option A is correct option.