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2 years ago

7

In parallelogram PQRS, PQ =4x+28, QR=x+31, RS = 10X+4. Which of the

1 answer:

Doss [256]2 years ago

3 0

Answer:

44

Step-by-step explanation:

1) we know that opposite sides of a parallelogram are congruent so

4x+28=10x+4

2) subtract 4 on both sides

4x+24=10x

3)subtract 4x on both sides

24=6x

4)divide by 6 on both sides

4=x

5)substitute for x

length of RS =10(4)+4

length of RD=44

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Select all the correct answers.

Tanya [424]

Answer:

x=24

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Step-by-step explanation:

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2 years ago

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Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

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Here, $np>5\ and\ n(1-p)>5$

And , $p=0.10$

So, consider the equality, to find the value of 'n'.

$np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50$

So, there are $50-35=15$ more adult Americans needed.

(b) 15% of all adult Americans supports the changes

Here, $p=0.15$

So, again we get that

$np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34$

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3 years ago

In 6-8, each table represents a linear relationship. Use the slope formula to find the slope or rate of change shown in each tab

dimaraw [331]

The slopes of the relationships are given as follows:

6. 5.

7. 1.

<h3>What is the complete question?</h3>

The problem is incomplete, as the tables are not readable, but researching it on a search engine, we find that:

For item 6, we have points (2,8) and (6,28).

For item 7, we have points (-6,5) and (4,10).

<h3>How to find the slope of a line given two points?</h3>

Given two points in the format (x,y), the slope of the line is given by change in y divided by change in x.

Hence, the slopes for each problem are given as follows:

6. m = (28 - 8)/(6 - 2) = 20/4 = 5.

7. m = (10 - 5)/(4 - (-6)) = 10/10 = 1.

More can be learned about the slope of a line at brainly.com/question/24808124

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