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x=22

Step-by-step explanation:

Label the intersection point between K and J as H. Similarly, label the intersection point between K and L as M.

The triangle proportionality theorem states that HK/JK=MK/LK.

Substitute the values into the equation above. HK=36-6=30. LK=2x-4+8=2x+4.

30/36=2x-4/2x+4

Now, solve:

30(2x+4)=36(2x-4)

60x+120=72x-144

12x=264

x=22

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.