The NCAA Division 1 Basketball tournament begins each year with a certain number of teams. After each round of games, the losing teams are cut from the tournament, so that cach round has half as many teams playing as the previous round. After 3 rounds 8 teams are left. How many teams started out in the tournament?

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

6 cars because if you have 8 and subtract 2 youll have 6 left over

~dasgupta/mathbook/append17dec2k8.pdf