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tatiyna
2 years ago
15

Quadrilateral MNOP is a rhombus. If the measure of Angle PON = 124, find the measure of Angle POM.

Mathematics
2 answers:
Degger [83]2 years ago
8 0
In a parallelogram, two angles are equal and another two angles are equal. The total amount of angles is 360.124 * 2 = 248. 112 / 2 is 56. The answer is 56.
sergij07 [2.7K]2 years ago
5 0
The answer is 62 because angle POM is the angle bisector of angle PON and an angle bisector is when an angle is divided by 2 because angle POM and MON are congruent. When two angle are congruent  that means that they are both the same number of degrees.
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Step-by-step explanation:

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Answer:

1) the planning value for the population standard deviation is 10,000

2)

a) Margin of error E = 500, n = 1536.64 ≈ 1537

b) Margin of error E = 200, n = 9604

c) Margin of error E = 100, n = 38416

3)

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

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Step-by-step explanation:

Given the data in the question;

1) Planning Value for the population standard deviation will be;

⇒ ( 50,000 - 10,000 ) / 4

= 40,000 / 4

σ = 10,000

Hence, the planning value for the population standard deviation is 10,000

2) how large a sample should be taken if the desired margin of error is;

we know that, n = [ (z_{\alpha /2 × σ ) / E ]²

given that confidence level = 95%, so z_{\alpha /2  = 1.96

Now,

a) Margin of error E = 500

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 500 ]²

n = [ 19600 / 500 ]²

n = 1536.64 ≈ 1537

b) Margin of error E = 200

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 200 ]²

n = [ 19600 / 200 ]²

n = 9604

c)  Margin of error E = 100

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 100 ]²

n = [ 19600 / 100 ]²

n = 38416

3) Would you recommend trying to obtain the $100 margin of error?

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

Hence, I will not recommend trying to obtain the $100 margin of error in the present case.

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4 0
2 years ago
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Goryan [66]
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Since the question says not to round, we must leave the answer in terms of pi.

Answer:
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