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musickatia [10]
2 years ago
12

How to know if an angle is congruent?

Mathematics
2 answers:
Svet_ta [14]2 years ago
4 0

Answer:

Two angles are congruent if they have the same measure. If you didn't already know, when two lines intersect the vertical angles formed are congruent. For example, all the angles in a square are congruent. All the angles in a regular pentagon are 108°, therefore all the angles are congruent because they are the same.

Step-by-step explanation: Hope this helps:).........if not sorry:(

tatuchka [14]2 years ago
4 0

Answer:

Well, AN angle (as you've stated in your question) can't, by definition, be congruent; you need at least two angles. Once that condition is met, then we can say that two angles are congruent if they have the same measure.

Step-by-step explanation:

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543

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Step-by-step explanation:

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A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70
TEA [102]

Answer:

She needs to sample 189 trees.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation of the population is 70 peaches per tree.

This means that \sigma = 70

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

M = z\frac{\sigma}{\sqrt{n}}

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10\sqrt{n} = 1.96*70

Dividing both sides by 10:

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She needs to sample 189 trees.

3 0
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