Answer:
see explanation
Step-by-step explanation:
Since the figures are similar then then corresponding sides are in proportion , that is
[tex]\frac{NP}{ST}[/tex] = [tex]\frac{NM}{SR}[/tex] , substitute values
[tex]\frac{x}{25}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )
30x = 450 ( divide both sides by 30 )
x = 15
Similarly
[tex]\frac{UT}{QP}[/tex] = [tex]\frac{NM}{SR}[/tex] , that is
[tex]\frac{y}{15}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )
30y = 270 ( divide both sides by 30 )
y = 9
The similarity ratio is the ratio of corresponding sides , that is
[tex]\frac{NM}{SR}[/tex] = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]
SRUT is [tex]\frac{3}{5}[/tex] of NMQP
