Question

Point J is on line segment IK. Given JK = 2x, IJ = 5x, and IK = x + 6, determine the numerical length of JK.

Answer 1

Answer:

$JK = 2$

Step-by-step explanation:

Given:

$JK = 2x$

$IJ = 5x$

$IK = x + 6$

Required

Solve for JK.

Since J is on IK, we have:

$IK = IJ + JK$

$x + 6 = 5x + 2x$

$x + 6 = 7x$

Collect Like Terms

$7x - x = 6$

$6x = 6$

Solve for x

$x = 6/6$

$x = 1$

Substitute 1 for x in $JK = 2x$

$JK = 2 * 1$

$JK = 2$