Answer :
Answer:
If JL = 16, we will get JK = 7
Option A is correct option.
Step-by-step 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:
[tex]JL = JK + KL\\16=3x-5+2x+1[/tex]
Solving the expression we can find first value of x and then value of JK
[tex]16=3x-5+2x+1\\16=5x-4\\16+4=5x\\20=5x\\x=\frac{20}{5}\\x=4[/tex]
So, we get x = 4
Now, put the value of x in JK=3x-5 to get value of JK
[tex]JK = 3x-5\\JK=3(4)-5\\JK = 12-5\\JK=7[/tex]
So, if JL = 16, we will get JK = 7
Option A is correct option.