Answer:
D: 12
Step-by-step explanation:
The entire segment KI is composed of the segments KJ and JI. So:
[tex]KI=KJ+JI[/tex]
We know that KI is 15.
KJ is (2x-15) and JI is (2x-6). Substitute:
[tex]15=(2x-15)+(2x-6)[/tex]
Solve for x. Combine like terms:
[tex]15=4x-21[/tex]
Add 21 to both sides:
[tex]4x=36[/tex]
Hence, the value of x is:
[tex]x=9[/tex]
We know that JI is 2x-6.
We will substitute 9 for x to find JI. So:
[tex]JI=2(9)-6=18-6=12[/tex]
Hence, our answer is D.
