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777dan777 [17]
2 years ago
9

Which of the following is known as a simpler form of Euclid's fifth postulate

Mathematics
1 answer:
Deffense [45]2 years ago
8 0

Answer:

A.  Playfair's axiom.

Step-by-step explanation:

In a plane, given a line and a point not on it, at most,  one line parallel to the given line can be drawn through the point.

- this implies Euclid's fifth postulate.

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Step-by-step explanation:

1. First, you must calculate the mean, as following:

\frac{12+16+22+23+34+44+46+47+48+64+67+73+83+89}{14}=47.71

2. Now, you should substract the means obtained to every single number of the set and then square it. Add all of them:

(12-47.71)^{2}+(16-47.71)^{2}+(22-47.71)^{2}+(23-47.71)^{2}+(34-47.71)^{2}+(44-47.71)^{2}+(46-47.71)^{2}+(47-47.71)^{2}+(48-47.71)^{2}+(64-47.71)^{2}+(67-47.71)^{2}+(73-47.71)^{2}+(83-47.71)^{2}+(89-47.71)^{2}=7984.86

3. The mean of this is:

\frac{7984.8574}{14}=570.35

4. The square root of this result is:

\sqrt{2.52}=23.88

5. To the nearest tenth, the result is: 23.9


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