Answer:
[tex]JK = 2[/tex]
Step-by-step explanation:
Given:
[tex]JK = 2x[/tex]
[tex]IJ = 5x[/tex]
[tex]IK = x + 6[/tex]
Required
Solve for JK.
Since J is on IK, we have:
[tex]IK = IJ + JK[/tex]
[tex]x + 6 = 5x + 2x[/tex]
[tex]x + 6 = 7x[/tex]
Collect Like Terms
[tex]7x - x = 6[/tex]
[tex]6x = 6[/tex]
Solve for x
[tex]x = 6/6[/tex]
[tex]x = 1[/tex]
Substitute 1 for x in [tex]JK = 2x[/tex]
[tex]JK = 2 * 1[/tex]
[tex]JK = 2[/tex]
