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Dmitriy789 [7]
3 years ago
15

The quotient of two less than a number and five is eight

Mathematics
1 answer:
postnew [5]3 years ago
5 0

Answer:

The number is 42.

Step-by-step explanation:

Let x be the unknown number.

"two less than a number" is x - 2

Quotient means the result of a division.

(x - 2)/5 = 8

Multiply both sides by 5.

x - 2 = 40

Add 2 to both sides.

x = 42

Answer: The number is 42.

Check.

Start with 42. 2 less than 42 is 40. The quotient of 40 and 5 is 40/5 which is 8. The answer is correct.

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Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
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Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ

Likewise:

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Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

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