6. If KM is the perpendicular bisector of JL, find KL.Answer choices:109495610

From the perpendicular bisector therorem, wehave,
[tex]JK=KL[/tex]That is,
[tex]\begin{gathered} 4x+9=11x-61 \\ 11x-4x=61+9 \\ 7x=70 \\ x=\frac{70}{7}=10 \end{gathered}[/tex]Therefor, by putting x = 10, in the value of KL we have,
[tex]11\times10-61=110-61=49[/tex]Thus, option B is correct.