Answer:
x = 8 and x = 7
Step-by-step explanation:
(6)
Since the triangles are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{ST}{MN}[/tex] = [tex]\frac{RS}{LM}[/tex] , substitute values
[tex]\frac{x}{4}[/tex] = [tex]\frac{4}{2}[/tex] ( cross- multiply )
2x = 16 ( divide both sides by 2 )
x = 8
(7)
Since the prisms are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{x}{35}[/tex] = [tex]\frac{2}{10}[/tex] ( cross- multiply )
10x = 70 ( divide both sides by 10 )
x = 7
