This figure shows △LMN . NZ¯¯¯¯¯¯ is the angle bisector of ∠LNM . What is LZ ? Enter your answer, as a fraction, in the box. units

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Answer 1 · 2018-05-29T17:11:30

#color(blue)(20/7)#

#(MZ)/(LZ)=3/4#

Also:

#MZ+LZ=5#

#MZ+LZ=5=>MZ=5-LZ#

Substituting:

#(5-LZ)/(LZ)=3/4#

#20-4LZ=3LZ#

#7LZ=20=>LZ=20/7#