Find the value of x and KL if K is between J and L.
JK=2x, KL=x+2, JL=5x-10
To find the value of x and KL, we can use the fact that K is between J and L, which means that the sum of JK and KL must be equal to JL.
We are given the following information:
JK = 2x
KL = x + 2
JL = 5x - 10
Using the given information, we can set up an equation:
JK + KL = JL
Substituting the given values:
2x + (x + 2) = 5x - 10
Now let's solve for x:
2x + x + 2 = 5x - 10
3x + 2 = 5x - 10
Subtracting 3x from both sides:
2 = 2x - 10
Adding 10 to both sides:
12 = 2x
Dividing both sides by 2:
6 = x
So, we have found the value of x, which is 6.
Now, let's find KL by substituting the value of x back into the given expression:
KL = x + 2
KL = 6 + 2
KL = 8
Therefore, the value of x is 6 and KL is 8.