In the above figure, ∠AOB = 80°. What does ∠ACB equal?

1 answer:

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No diagram was provided but using the one retrieved from another source, we have a circle with a center O. Points A, B, and C are assigned around the circle. This means that ∠AOB forms a central angle. That means AB is equal to 80° as well. Now, ∠ACB forms an inscribed angle with arc AB. Recall that the value of the inscribed angle is half of the measurement of the arc. Since AB is 80°, then ∠ACB is (80/2) = 40°. Therefore, the answer is 40°<span>.</span>

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Determine whether each of these sets is countable oruncountable. For those that are countably infinite, exhibit

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Answer:

Answers are given below.

Step-by-step explanation:

a) one-to-one correspondence between the set of positiveintegers and that set.

Whenever we have one to one correspondence with positive integers, the set is countable and here infinite.

b) integers divisible by 5 and not 7 ..This set is all integers divisible by 5 but not by 7. This is a discrete set and hence countable and infinite.

c) the real numbers with decimal representationsconsisting of all 1’s

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d) the real numbers with decimal representationsconsisting of all 1’s or 9’s