Answer:
n = 24
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{VW}{ST}[/tex] = [tex]\frac{UV}{RS}[/tex] ( substitute values )
[tex]\frac{n}{18}[/tex] = [tex]\frac{16}{12}[/tex] ( cross- multiply )
12n = 288 ( divide both sides by 12 )
n = 24
