Answer:
11
Step-by-step explanation:
Since M is on LN,
LM + MN = LN.
[tex](2x+7)+3x=4x+9[/tex]
Remove brackets:
[tex]2x+7+3x=4x+9[/tex]
Add the x terms:
[tex]5x+7=4x+9[/tex]
Subtract 7 from both sides:
[tex]5x+7-7=4x+9-7[/tex]
[tex]5x=4x+2[/tex]
Subtract 4x from both sides:
[tex]5x-4x=4x+2-4x[/tex]
[tex]x=2[/tex]
[tex]LM=2x+7=2(2)+7=4+7=11[/tex]
