.Find the value of x and then find the length of JC.X =JC =

In this problem we have that
Triangle JKL and triangle JCD are similar
that means -----> If two triangles are similar, then the ratio of its corresponding sides is proportional
so
JK/JC=JL/JD
sbstitute the given values
88/(2x+6)=110/40
solve the proportion for x
88(40)=110(2x+6)
2x+6=88(40)/110
2x+6=32
2x=32-6
2x=26
x=13
Find the length of JC
JC=2x+6
substitute the value of x
JC=2(13)+6
JC=32 units