Express using algebra. Jane is 3 years older than Mary, and Mary is twice as old as Kay. If Kay is x years old, how old is Jane?
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1. If AB is tangent to the circle, then
We have
so AB is indeed tangent to the circle.
2. The unlabeled leg is another radius of the circle so it has length 8. Then if AB is tangent to the circle,
but we have
so that cannot be a right triangle and AB is not tangent to the circle.