Question

Point J is on line segment IK. Given JK = 2x, I J = 5x, and I K = x + 6,

determine the numerical length of JK.
2

Answer 1

JK = 2x, I J = 5x, and I K = x + 6,

--------------------------------------------

x + 6 = 5x + 2x

6 = 6x

x = 6 / 6

x = 1

-------------------------------------------

make the x=1 to JK

JK = 2x

= 2(1)

= 2

Answer 2

JK = 2

Explanation:

JK = 2x, I J = 5x, and I K = x + 6,

|<-------------- x + 6 ------------------->|

I____________J___________K

5x 2x

x + 6 = 5x + 2x

6 = 7x - x

6 = 6x

x = 6 / 6

x = 1

substitute x=1 to JK

JK = 2x

= 2(1)

= 2