Answer:
NP = [tex]\frac{32}{9}[/tex]
Step-by-step explanation:
Since MP is an angle bisector then it divides the sides/ base in the ratio.
[tex]\frac{MQ}{QP}[/tex] = [tex]\frac{MN}{NP}[/tex], substitute values
[tex]\frac{18}{4}[/tex] = [tex]\frac{16}{NP}[/tex] ( cross- multiply )
18NP = 64 ( divide both sides by 18 )
NP = [tex]\frac{64}{18}[/tex] = [tex]\frac{32}{9}[/tex]
