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dlinn [17]
2 years ago
7

How would I determine whether AB is tangent to oc? The o is a circle dot

Mathematics
1 answer:
icang [17]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

If AB is a tangent then ∠ ABC = 90° and Δ ABC is right

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides.

15 is the longest side and 15² = 225

9² + 12² = 81 + 144 = 225

Thus Δ ABC is a right triangle at B

Thus AB is a tangent to the circle at B

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Since there are a total of 6 possible outcomes, you can use this in the following questions. There are 2 red tiles, so the probability of spinning red is \frac{2}{6} or \frac{1}{3}. Since there are only one 1 tile, the probability of spinning a 1 is \frac{1}{6}. Since there are three odd numbers, the probability of spinning an odd number is \frac{1}{2}. Since there are no 9 in the spinner, the probability of spinning a 9 is 0 or never.

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