There are $5$ girls and $5$ boys in a chess club. the club holds a round-robin tournament in which every player plays against every other player exactly once.

if anita is one of the club members, what fraction of all games at the tournament does anita play in? enter your answer as a fraction in simplified form.

1/5

Step-by-step explanation:

Anita plays against 9 opponents, so she plays 9 games. There are 45 games played in total, so Anita plays in 9/45 or 1/5 of the games.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.