Question

Find the value of x in each diagram.

Answer 1

Answer:

6) 4 , 7) 35

Step-by-step explanation:

Answer 2

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

$\frac{ST}{MN}$ = $\frac{RS}{LM}$ , substitute values

$\frac{x}{4}$ = $\frac{4}{2}$ ( 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

$\frac{x}{35}$ = $\frac{2}{10}$ ( cross- multiply )

10x = 70 ( divide both sides by 10 )

x = 7