Using the data in the figure, calculate the width x of the river.(word upė means river)

Answer:

Alternate-exterior angles theorem.

Step-by-step explanation:

Two parallel lines are cut by a transversal, and if there are a pair of congruent angles that are outside of the parallel lines, and on opposite sides of the transversal, you will have the alternate-exterior angles theorem.

By set theοry the number οf students whο οffer οnly English is 12.

In mathematics Set theοry  studies with sets, which can be infοrmally described as cοllectiοns οf οbjects.  Objects οf any kind can be cοllected intο a set, set theοry, as a branch οf mathematics, is mοstly cοncerned with  that which are relevant tο mathematics as a whοle.

Given that,

A survey οf eighty students at a certain cοllege reveals that

36 takes English

32 take histοry

32 take pοlitical science

16 takes pοlitical science and histοry

16 takes histοry and English

14 takes pοlitical science and English

6 takes all three

Sο n(s)=80 [ Since the number οf students is 80]

The number οf students whο takes English is denοted by n(E)=36

The number οf students whο takes Histοry is denοted by n(H)=32

The number οf students whο takes Pοlitical Science is denοted by n(P)=32

By set theοry

The number οf students whο takes Pοlitical Science and Histοry is denοted by n(P∩H)=16

The number οf students whο takes English and Histοry is denοted by n(E∩H)=16

The number οf students whο takes Pοlitical Science and English is denοted by n(P∩E)=14

The number οf students whο takes Pοlitical Science, English and Histοry is denοted by n(P∩E∩H)=6

Frοm set theοry ,

n(P∪E∪H) = n(E)+n(H)+n(P)- n(P∩H)-n(H∩E)-n(P∩E)+n(P∩E∩H)

                 = 36+32+32-16-16-14+6

                 = 60

Sο the number οf students whο take nοne οf the subjects is (80-60)=20

Hence the number οf students whο οffer οnly English is 12.

To know more about set theory

https://brainly.com/question/13458417    

#SPJ9

Answer:

Step-by-step explanation:

W=\(\sqrt{x-a/a}\)

squaring both sides

W^2=(\(\sqrt{x-a/a}\) )^2

W^2=x-a/a

wa=x-a

a=x-a/w

\( \boxed{\boxed{\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}}}\)

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

The value of total of the debit side of the unadjusted trial balance is,

⇒ $24,350

We have to given that;

Consider the following information from a company's unadjusted trial balance at December 31, 2020.

Hence, We get;

The computation of the total of debit side is shown below;

= Accounts Receivable + Cash +  Equipment + Insurance Expense + Land + Notes Receivable + Prepaid Insurance + Rent Expense + Salaries and Wages Expense

= 5100 + 680 + 1760 + 6280 + 4600 + 5500 + 430

= $24350

Thus, The value of total of the debit side of the unadjusted trial balance is,

⇒ $24,350

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

\( \frac{2}{3} x + 4 \\ = \frac{2}{3}(x + 6) \)

FIRST OPTION IS THE ANSWER

The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;

They can be;

supplementary

alternate exterior

alternate interior

vertically opposite

and corresponding

The property between angle 3 and angle 6 is that they are alternate interior to each other.

Therefore angle 3 and angle 6 are alternate interior angles.

learn more about angle on parallel lines from

https://brainly.com/question/24607467

#SPJ1

Answer:

1.75

Step-by-step explanation:

convert to fraction

Answer:

\( \frac{5}{8}16 \\ 10\)

Step-by-step explanation:

she ate 10 slices

please mark me brainliest

Answer:

x = 5cm

Step-by-step explanation:

We Know

The x-scale is 1:5

Find x.

We Take

25 ÷ 5 = 5 cm

So, x = 5cm

Explanation:

This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.

Answer:

rad 29

Step-by-step explanation:

diagonal is 16+4=20 so \(\sqrt{20}\)

3 and rad20 you will have 20 +9=29

answer is \(\sqrt{29}\)

When you roll a six-sided number cube you can get the next set of possible results:

You have a total of 6 possible results.

From the set of possible results you get the set of presults that are 1 or 6:

You have 2 results that are 1 or 6

The probability of rolling (1 or 6)​ is: The number of results that are 1 or 6 divided in the total number of possible results:

The value of x in the equation 5 / x + 4 = 9 / x - 8 is - 19.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Therefore, let's solve the equation and find the value of x  as follows:

The variable in the equation is x. A variable is a number represented with a letter in an equation,.

5 / x + 4 = 9 / x - 8

cross multiply

5(x - 8) = 9(x + 4)

open the brackets

Hence,

5(x - 8) = 9(x + 4)

5x - 40 = 9x + 36

5x - 9x = 36 + 40

-4x = 76

divide both sides by -4

x = 76 / -4

x = - 19

Therefore,

x = - 19

learn more on equation here: https://brainly.com/question/19297665

#SPJ1

Answer:

The answer is -11 and -9 only

Step-by-step explanation:

The reason that the point (3, 5) is not a solution to the given inequality is given below.

We are given that;

y > 2x + 1

Now,

The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.

If we have (3,5) as a point, we can see that it lies on the boundary line

y = 2x + 1.

Since the inequality is strict (y >), points on this line are not solutions to the inequality

Therefore, by the inequality the answer will be given above.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ1

The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)

As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms

The number is given as:

x = -3

The base of the logarithm is given as:

Base = 2

To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2

This is represented as:

Number =2^-3

Apply the power rule of indices

Number =1/2^3

Evaluate the exponent

Number = 1/8

Evaluate the quotient

Number = 0.125

Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)

Read more about logarithm at:

https://brainly.com/question/20785664

#SPJ1

Answer: 68%

Step-by-step explanation:

The best way to do this is add up the number of math and history rooms, and divide that by the total number of rooms.

There are 17 total math and history rooms, and 25 rooms total.

17/25 = .68

Multiply that by 100 to get the percent and the answer is 68%

Answer:

x = -4 or x = 3

|2x + 1| = 7

|2x - 1| = 7

Step-by-step explanation:

-------------------------------------------------------------------------------------------------------------

Your question is mixed together.. Thus I think you meant:

Which three equations are equivalent to 2x + 1| − 10 = -3

2x - 1 = -7 or 2x - 1 =7

x = -4 or x = 3

x = 4 or x = -3

|2x + 1| = 7

2x + 1 = -7 or 2x + 1 =7

|2x - 1| = 7  

-------------------------------------------------------------------------------------------------------------

Solve:

|2x+1| = -3 + 10

|2x+1| = 7

Split into two equation:

2x+1 = 7 or 2x + 1= -7

Now, Solve first one:

2x = 7 - 1

2x = 6

x = 6/2

x = 3

Then, Solve second one:

2x = -7 - 1

2x = -8

x = -8/2

x = -4

Combining results:

x = -4 or x  = 3

Hence, Also, |2x + 1| = 7  and  |2x - 1| = 7 are correct .

~[RevyBreeze]~

Answer:

|2x + 1| = 7

|2x - 1| = 7

x = -4 or x = 3

Step-by-step explanation:

|2x+1| = -3 + 10

⇒ |2x+1| = 7

Now we know the two equation:

2x+1 = 7 or 2x + 1= -7

Solving 2x + 1 =7

2x = 7 - 1

2x = 6

Divide both sides by 2

x = 6/2

x = 3

Solving 2x+1=-7

2x = -7 - 1

2x = -8

Divide both sides by 2

x = -8/2

x = -4

Therefore, x = -4 or x  = 3.

We also know that:

2x+1 = 7 and  2x + 1= -7 are the two equation we use that means it equivalent to |2x + 1| − 10 = -3.

Hence, the three equations are equivalent to |2x + 1| − 10 = -3 is :

~lenvy~

to get the equation of any straight line, we simply need two points off of it, let's use those in the picture below

\((\stackrel{x_1}{-8}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-8)}}} \implies \cfrac{-5 +3}{-4 +8} \implies \cfrac{ -2 }{ 4 } \implies - \cfrac{1 }{ 2 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{- \cfrac{1 }{ 2 }}(x-\stackrel{x_1}{(-8)}) \implies y +3 = - \cfrac{1 }{ 2 } ( x +8) \\\\\\ y+3=- \cfrac{1 }{ 2 }x-4\implies {\Large \begin{array}{llll} y=- \cfrac{1 }{ 2 }x-7 \end{array}}\)

Answer:

330 cm^3

Step-by-step explanation:

Volume of figure=Volume of the cuboid+Volume of the other cuboid

Volume of figure=240+90=330

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

https://brainly.com/question/17343417

#SPJ2

Answer:

Step-by-step explanation:

*a is 6:55

*b is 37

*c is 15:12

The factored polynomial is given as follows:

(5x - 1)(6x² + 1)

Polynomials are factored placing the common factor in evidence, then dividing all terms by the common factor.

The polynomial is:

6x²(5x - 1) + (5x - 1).

The common factor is (5x - 1), hence:

\((5x - 1)\left(\frac{6x^2(5x - 1)}{5x - 1} + \frac{5x - 1}{5x - 1}\right) = (5x - 1)(6x^2 + 1)\)

Hence the factored polynomial is given as follows:

(5x - 1)(6x² + 1)

More can be learned about the factoring of polynomials at https://brainly.com/question/2416165

#SPJ1

Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.

In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

Learn more about distance on:

https://brainly.com/question/15445792

#SPJ1

Answer:

distance between, motion

Step-by-step explanation:

plato, I got it right

Answer:

let the number of steps taken by friend 1, 2 and 3 be: x, y and z respectively

we know that the mean of the total steps taken by all the friends is 10,350

Since the formula for mean is: sum of all values / number of values

here, the total values is the total number of steps taken

So,

steps taken by friend 1  +steps taken by friend 2 +steps taken by friend 3 +steps taken by friend 4 +steps taken by friend 5 +steps taken by friend 6

all that divided by 6 will give us the mean

so,  7800 + 8000 + 9800 + x + y + z / 6

(25600 + x + y + z)/6 = 10350

25600 + x + y + z = 10350 * 6

x + y + z = 62100 - 25600

x + y + z = 36500

So since the sum of x, y and z is 36500,

we can say that the average value of x , y and z is 12167 (36500/3)

So the next thing to make an equation out of is Median

to find the median, we need to arrange the values in any order you like, i will arrange in descending order

so since the estimated value of all x , y and z is greater than the greatest known value:

x > y > z > 9800 > 8000 > 7800

Since this set of values has an even number of values, we will take the average of the middle 2 values as the median

(9800 + z)/2 = 10000

9800 + z = 20000

z = 10200 -------- we have found one of the three values! getting closer

Now, the final equation will be found from the range

since we already have sorted our data, and the difference of the highest and lowest is the range

x > y > z > 9800 > 8000 > 7800

So, x - 7800  = 7500

x = 15300 ------- now that we have x and z, we can use the first equation to find the value of y and we will be done!

x + y + z = 36500

replacing the values

15300 + y + 10200 = 62100

y = 36500 - 25500

y = 11000

So the three remaining friends walked

15300, 11000 and 10200 steps

The two characteristics that makes the median a better choice are: A. The data are skewed and there are outliers.

In a data distribution, the median is a better choice to use to describe the data over the mean when an outlier exist and the data is skewed.

IN the dot plot given below, the data has an outlier of 10 while the data distribution is also screwed, this makes the median a better choice.

Therefore, the answer is: A. The data are skewed and there are outliers.

Learn more about the median on:

https://brainly.com/question/16800683

#SPJ1

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

To learn more about the Unitary method refer to the link below:

https://brainly.com/question/8083231