Triangle QRS ~ Triange TUV. solve for x and y

x = 20, y = 3

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

= ( substitute values )

= = 5 ( multiply both sides by 4 )

x = 20

and

= ( substitute values )

= ( cross- multiply )

30y = 90 ( divide both sides by 30 )

y = 3

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

b. astronomers