Answer:
The value of x = 5.
The length of KJ = 29 units.
Step-by-step explanation:
Given L and M are the mid points of the lines.
So, LM becomes the mid segment.
Also, [tex]$ \textbf{LM} = \frac{\textbf{GH + KJ}}{\textbf{2}} $[/tex]
Here, the length of LM = 25 units.
Length of GH = 2x + 11 units.
Length of KJ = 6x - 1 units.
Therefore, we have: [tex]$ LM = \frac{2x + 11 + 6x - 1}{2} $[/tex]
= [tex]$ \frac{8x + 10}{2} $[/tex]
[tex]$ \implies 25 = 4x + 5 $[/tex]
[tex]$ \implies 4x = 20 $[/tex]
⇒ x = 5
Therefore, KJ = 6(5) - 1
= 29 units.
Hence, the answer.
