Geometry honors segment length

x = 3

Step-by-step explanation:

Two secants from an external point to the circle.

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

7(5x + 2 + 7) = 8(3x + 4 + 8), that is

7(5x + 9) = 8(3x + 12) ← distribute parenthesis on both sides

35x + 63 = 24x + 96 ( subtract 24x from both sides )

11x + 63 = 96 ( subtract 63 from both sides )

11x = 33 ( divide both sides by 11 )

x = 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.