Asquare is inscribed in an isosceles right triangle. length of the leg equals to 2 in. as shown on the figure. find the perimeter of the square.

The perimeter of the square is

Step-by-step explanation:

Let

x----> the length side of the square

we know that

In an isosceles right triangle the measures of the internal angles are 45°-90°-45°

so

the horizontal distance is equal to the vertical distance

The perimeter of the square is

we have

substitute

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.