Question Point K is on line segment overline (JL) Given JL=4x+2,KL=5x-6 and JK=3x determine the numerical length of JK Answer Attempt 2 out of 2 JK=square

To determine the numerical length of $JK$, we need to use the given information about the lengths of $JL$, $KL$, and $JK$.<br /><br />Given:<br />$JL = 4x + 2$<br />$KL = 5x - 6$<br />$JK = 3x$<br /><br />Since point K is on line segment $\over, we can write the equation:<br />$JL = JK + KL$<br /><br />Substituting the given values, we have:<br />$4x + 2 = 3x + (5x - 6)$<br /><br />Simplifying the equation, we get:<br />$4x + 2 = 8x - 6$<br /><br />Combining like terms, we have:<br />$4x - 8x = -6 - 2$<br />$-4x = -8$<br /><br />Dividing both sides by -4, we get:<br />$x = 2$<br /><br />Now, we can substitute the value of $x$ into the expression for $JK$:<br />$JK = 3 3(2) = 6$<br /><br />Therefore, the numerical length of $JK$ is 6.