Answer
$NM = \frac{1}{3}a+\frac{1}{2}b$
Work Step by Step
We can find the length of NM:
$NM = NB + BM$
$NM = (AB-AN)+BM$
$NM = (a - \frac{2}{3}a)+\frac{1}{2}b$
$NM = \frac{1}{3}a+\frac{1}{2}b$
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