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r-ruslan [8.4K]
3 years ago
13

I can’t figure out how to solve this for a. I’ve tried multiple ways but still have not come up with an answer.

Mathematics
2 answers:
abruzzese [7]3 years ago
8 0

Answer:

a = 33

Step-by-step explanation:

IN a parallelogram consecutive angles are supplementary, thus

5a - 52 + 5a - 98 = 180, that is

10a - 150 = 180 ( add 150 to both sides )

10a = 330 ( divide both sides by 10 )

a = 33

zaharov [31]3 years ago
5 0

It's a parallelogram so the each side is a transverse across two opposite parallel sides, so make the usual congruent and supplementary angles.

Here we have T and U must be supplementary angles because they're consecutive interior, if I remember the term.

T + U = 180°

5a - 98° + 5a - 52° = 180°

10a = 180° +  98° + 52° = 330°

a = 33°

Answer: 33°

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Veseljchak [2.6K]

440 miles - 275 miles = 165 miles

165 + 275 = 440


7 0
3 years ago
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Jen has collected information about the students in her class and the month they were born.
IrinaVladis [17]

The true statement about this information is that: A. It is both a relation and a function.

<h3>What is a function?</h3>

A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population.

In this context, we can infer and logically deduce that the true statement about this information collected by Jen is that it's both a relation and a function because it indicates a relationship between two variables.

Read more on function here: brainly.com/question/4246058

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2 years ago
Three students want to estimate the mean word length of the same book. To do this, each student randomly chose 4 words from the
Firlakuza [10]

The solutions to the questions are given below

a)

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25


b)R =0.75

c)

  • The mean of the sample means will tend to be a better estimate than a single sample mean.
  • The closer the range of the sample means is to 0, the more confident they can be in their estimate.

<h3>What is the students are going to use the sample means to estimate the mean word length in the book.?</h3>

The table below shows sample means in the table.

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25

b)

Generally, the equation for is  mathematically given as

variation in the sample means

R =maximum -minimum

R=4.25-3.5

R =0.75

c)

In conclusion, In most cases, the mean of many samples will provide a more accurate estimate than the mean of a single sample.

They may have a higher level of confidence in their estimate if the range of the sample means is closer to 0 than it is now.

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7 0
2 years ago
Plsss help me !!!!
Yuri [45]

Answer:

The enrollment after 5 years is 10,724

Step-by-step explanation:

Generally, we can have the depreciation formula written as follows;

A = P(1 - r)^t

A is the number of enrollment in after a certain number of years t

P is the initial population which is 13,500

r is the rate of depreciation which is 4.5% = 4.5/100 = 0.045

t = 5 years

Substituting these values, we have it that;

A = 13,500(1-0.045)^5

A = 10,723.84

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2 years ago
a parallelogram has a base of 9 units and an area of 12 square units. what is the corresponding height for the base
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Answer:

1 1/3

Step-by-step explanation:

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