Eleven girls are standing around a circle. A ball is thrown clockwise around the circle. The first girl, Ami, starts with the ball, skips the next three girls and throws to the
fifth girl, who then skips the next three girls and throws the ball to the ninth girl. If
the throwing pattern continues, including Ami's initial throw, how many total throws are
necessary for the ball to return to Ami?

11

Step-by-step explanation:

look at the pic

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do you have the measurements?

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it