The diagram is showing the length of each line segment.
• NM has length 110 + 4<em>x</em>
• ML has length <em>x</em> + 103 (this is the one you have to find)
• LK has length 70
• NK has length <em>x</em> + 243
The segment NK has length equal to the sum of the lengths of NM, ML, and LK. So we have
<em>x</em> + 243 = (110 + 4<em>x</em>) + (<em>x</em> + 103) + 70
Solve this equation for <em>x</em> :
<em>x</em> + 243 = (110 + 103 + 70) + (4<em>x</em> + <em>x</em>)
<em>x</em> + 243 = 283 + 5<em>x</em>
<em>x</em> - 5<em>x</em> = 283 - 243
-4<em>x</em> = 40
<em>x</em> = 40/(-4)
<em>x</em> = -10
Now solve for <em>x</em> + 103 by adding 103 to this result:
<em>x</em> + 103 = -10 + 103 = 93
So ML has length 93.
