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Colt1911 [192]
2 years ago
11

Which statement must be true? Two triangles placed side by side. Two sides each of the triangles are equal in length. The third

sides of two triangles are 15 and 20 respectively. A. x < y B. x = y C. y < x D. No relationship between x and y can be determined from the information given.
Mathematics
1 answer:
sladkih [1.3K]2 years ago
7 0

It is impossible to determine the relationship between x and y from the question about the triangle. Hence,  the correct option is D. This is because none of the sides are labelled x or y from the information provided.

<h3>What are the relationships that exist between the sides of a triangle?</h3>

It is important to note that:

The side with the highest length is the side that is opposite the biggest angle.

It is also important to note that the angle that is least will always be opposite the side that is smallest.

Learn more about triangles at:
brainly.com/question/17335144
#SPJ1

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The NWBC found that 42.1% of women-owned businesses provided retirement plans contributions.
Natasha_Volkova [10]

Answer:

Sample size of 586 or higher.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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In which

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The margin of error is:

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So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

What sample size could be 95% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion?

Sample size of at least n when M = 0.04

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M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.421*0.579}{n}}

0.04\sqrt{n} = 0.9677

\sqrt{n} = \frac{0.9677}{0.04}

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\sqrt{n}^{2} = (24.19)^(2)

n = 585.2

We need a sample size of 586 or higher.

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