Given: m
1. Find x if the angles are vertical.

2. Find x if the angles are linear pair.

(Imagine included)

Answer: 2/5 40%

Step-by-step explanation:

Given parameters:

Area of the rectangular garden  = 359ft²

Unknown:

length and width of the garden  = ?

To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.

 Area of a rectangle  = Length x Breadth

From the problem statement;

 Let w = width of the rectangular garden

        L = length of the garden;

 Now,

          length of a rectangular garden is 5 feet less than 4 times its width

           L = 4w - 5

Now let us substitute this into the equation;

       Area  = L x w

    359 = (4w - 5)w

           4w² - 5w - 359

Using:

          w = -b ± √b² -  4ac  /  2a

 where b  = -5 , a  = 4  and c = -359

  w  =   -(-5)  ± √-5² - 4(4)(-359)  /  2(4)

 w = 5 ± √25 + 5744 / 8

 w =  5 ± 75.9 / 8

 w  = [tex]\frac{5 + 75.9}{8} or \frac{5 - 75.9}{8}[/tex]

  w  = 10.1ft

 The other solution is not possible it will be a negative value. Width value cannot be negative.

So L = 4w - 5  = 4(10.1) - 5 = 35.5ft

The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.

Answer:

Since we are given that angle Y = angle Z

The magnitude of the angles will also be equal

∠Y = ∠Z

(x + 10) = (2x - 90)

90 + 10 = 2x - x

100 = x

Answer:

Home to school through mall: 11 miles

Home to school through theater: 13 miles

Step-by-step explanation:

The route from home to school that passes the mall is x + 1 + x + 2 = 2x + 3.

The route from home to school that passes the theater is 2x + 1 + x = 3x + 1.

The route from home to school that passes the mall is 2 miles shorter than the route that passes by the theater.

2x + 3 = 3x + 1 - 2

2x + 3 = 3x - 1

-x = -4

x = 4

Home to school through mall:

2x + 3 = 2(4) + 3 = 11

Home to school through theater:

3x + 1 = 3(4) + 1 = 13

Answer:

Home to school through mall: 11 miles

Home to school through theater: 13 miles

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Step-by-step explanation:

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Answer: You have 9 cakes for every 7 cakes. I hope this helps!

Explanation: You add up everything on both sides to get your answer!

Answer: yes and it is yes sisiwfereffffffffffffr

Answer:

M(1)

Step-by-step explanation:

(Please see the attached picture to better visualize the number line)

What we know:

- Point A is at -1.5 on the number line

- Point B is at 6 on the number line

- AM:MB=1:2

From the ratio, we automatically know that point M is in between point A and point B on the number line. In other words, point M is greater than -1.5 but less than 6. (-1.5<m<6). We also learn from the ratio that if the distance between point A and point B is divided into thirds, AM would take up one of those thirds and MB would take up two of those thirds.

1. Find the distance between point A(-1.5) and point B(6)

6-(-1.5)

= 6+1.5

= 7.5

2. Divide this distance into thirds

7.5/3

= 2.5

Now, we know that one third of the distance between AM and BM is 2.5.

3. Add 2.5 to point A(-1.5) to find point M (please refer to the picture attached)

-1.5+2.5

= 1

I hope this helps! Please comment if you have any questions.

x = measure of the angle

180 - x = measure of supplement {supplementary angles add up to 180}

x = 74(180 - x) {measure of the angle is 174 times the supplement}

x = 13,320 - 74x {used distributive property}

75x = 13,320 {added 74x to each side}

x = 177.6 {divided each side by 177.6}

the angle is 177.6

the supplement is 2.4

Step-by-step explanation:

The perimeter can be expressed as

P=2L+2W

let the width be x

W=x

L=x+19

perimeter P=46ft

Therefore substituting and solving for x we have

46=2(x+19)+2x

46=2x+38+2x

46=2x+2x+38

46-38=4x

8=4x

x=8/4

x=2

the width is 2

the lenght = 2+19=21

Answer:

y=5/4x-8

Step-by-step explanation:

put ito slope intercept form and then using the slope put y intercept in order for it to be true

The required equation of line will be y = 1.25x - 8.

It is given that a line passes through a point (8,2) and is parallel to the line 5x - 4y= 36.

We have to find out the equation of the line.

What is the general equation of a line ?

The equation of a line is y = mx + c , where m = slope of line.

As per the question ;

The line is parallel to another line 5x -4y = 36.

∴ 5x - 4y = 36

4y = 5x - 36

diving by 4 on both sides ;

y = (5/4)x - (36/4)

y = 1.25x - 9

After comparing with the general equation of a line y = mx + c. We found that value of slope m = 1.25.

So,  the parallel line will have the same slope.

∴ y = 1.25 x + c

As the line passes through point (8,2) , hence x = 8 and y =2. After putting this value in the above equation we get ,

2 = 1.25 × 8 + c

∴ c = 2 - 10 = - 8

c = - 8

And the final equation of the line will be ,

y = 1.25 x - 8.

Thus , the required equation of line will be y = 1.25x - 8.

To learn more , about general equation of line click here ,

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Step-by-step explanation:

hit the what now . wut that ;-;

Answer:

nusfj

Step-by-step explanation:

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Answer:

20

Step-by-step explanation:

angles on a straight line

(x+20)+7x

open bracket

8x +20 = 180

collect like terms

8x= 180-20

8x=160x

x=160/8

x =20

Answer:

B

Step-by-step explanation:

To answer this question, we can just pick a couple of points and see which table gives the correct values.

Test Value 1)

Let's let m be 0.5.

So, our output will be:

[tex]-(T(0.5)+G(0.5))[/tex]

From our original tables, we know that T(0.5) is 1.25 and G(0.5) is 4.9. So:

[tex]=-(1.25+4.9)[/tex]

Add:

[tex]=-6.15[/tex]

So, when m is 0.5, our output should be -6.15.

The only choice that does this is B. So, B is our correct answer!

However, let's do another test point just to confirm.

Test Value 2)

Let's let m be 1.2.

So, our output will be:

[tex]-(T(1.2)+G(1.2))[/tex]

From our original table, we know that T(1.2) is 3 and G(1.2) is 11.76. So:

[tex]=-(3+11.76)[/tex]

Add:

[tex]=-14.76[/tex]

The only choice that does this is B. So, we are confident that B is our answer.

And we're done!

Answer:

B

Step-by-step explanation:

Answer:

11 out of 39

Step-by-step explanation:

Answer:

\frac{11}{39}

39

11

Step-by-step explanation:

There are 39 fruits in all.

11 + 6 + 9 + 13= 3911+6+9+13=39

Therefore, there would be 39 total events.

There are 11 preferred events, as there are eleven oranges out of the 39 fruits.

\frac{preferred}{total} =\frac{11}{39}

total

preferred

=

39

11

So, there should be a 11/39 chance that a person would pick an orange.

\frac{11}{39}

39

11

is already in it's lowest terms

Answer:

x=15

Step-by-step explanation:

add the 12 to the other side

x-12=3

and you will get 15

x=15

Answer:

C. Order doesnt matter - choose which you want to do first

Step-by-step explanation:

When solving multi step equations, there are different steps that can be followed depending on the nature of the equation. There could be variables on only one side or both sides of the equation and that can affect the order of operations. Thus, there is no standard order.

For example let's consider the equation;

7y + 6 = 2y + 16

Now,we can see there are variables on both sides, so the first step would be either to take the constants to one side first or to take the unknown variables to one side.

Whereas, in another example say;

5x - 3 = 7

The only option here is to take the constant on the left side to the right side.

There are other examples where we may have to carry out a division of all terms as the first step. In some other cases, there may be brackets, we need to get rid of as the first step.

Thus, there is no standard order and as such we choose which order we want to use based on the nature of the equation.

9514 1404 393

Answer:

  B) 37.947

Step-by-step explanation:

Using the given formula, we find ...

  s = (12 +11 +7)/2 = 15

  A = √(15(15 -12)(15 -11)(15 -7)) = √1440 = 12√10 ≈ 37.947 . . . square yards

Answer:

751.74

Step-by-step explanation:

561*.34=190.74

561+190.74=751.74

Answer

The suit being 27% less than the original also means he paid 73% of the original price (x). So,

0.73x=561

x=561/0.73

x=409.53

Original price was 409.53. Fancy suit. Step-by-step explanation:

there you go...

Answer:

22

Step-by-step explanation: put the four where the x is and multiply it by two and you get 8. Do the same with 6 where the y is and you get 12. add those two together and you get 20. The add the two out of the perentesis and get 22. (brainlist plz)

Answer:

23+ 37 = 42

the EG is congruent to the FA and therefore have to dividee the value to get 302

FG = 23 is our answer.

Given,

F is between E and G.

EG = 25

EF= 2x – 6

FG = 4x + 7.

We have to find FG.

We have,

F is between E and G.

So,

EG = EF + FG

We can find FG.

EG = EF + FG

25 = 2x - 6 + 4x + 7

25 = 6x + 1

25 - 1 = 6x

24 = 6x

x = 4

So,

Putting x = 4 in FG = 4x + 7.

FG = 4X + 7 = 4 x 4 + 7 = 16 + 7 = 23

Thus FG = 23.

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Answer:

3.5

Step-by-step explanation:

2 1/3 is equal to 7/3 and 2 goes into 7, 3.5 times.

Answer:

there are 3   2/3 in 2 1/3  with 1/3 left over

Step-by-step explanation:

Hope this helps.

Have a nice day :)

Can you give me brainliest plz :)

Answer: 7⁴ I believe

Answer:answer 4

Step-by-step explanation: multiply each answer choose an dit leaves 6 time four is 24

Answer:

twenty-four and twenty-sevenths

Step-by-step explanation:

Answer:

667

Step-by-step explanation:

2x^4–5x^3+x^2+3x+2

2(5)^4 -5(5)3+5^2+3*5+2

2*625 - 5*125+25+15+2

1250-625+25+15+2

625+42

667

Answer:

Step-by-step explanation:

Simplifying

3x + 5 = 2x + 1

Reorder the terms:

5 + 3x = 2x + 1

Reorder the terms:

5 + 3x = 1 + 2x

Solving

5 + 3x = 1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

5 + 3x + -2x = 1 + 2x + -2x

Combine like terms: 3x + -2x = 1x

5 + 1x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0

5 + 1x = 1 + 0

5 + 1x = 1

Add '-5' to each side of the equation.

5 + -5 + 1x = 1 + -5

Combine like terms: 5 + -5 = 0

0 + 1x = 1 + -5

1x = 1 + -5

Combine like terms: 1 + -5 = -4

1x = -4

Divide each side by '1'.

x = -4

Simplifying

x = -4

Answer:

x = -4

Step-by-step explanation:

To solve the given equation, we must find a value of x that satisfies the equation.

3x + 5 = 2x + 1

Subtract 2x from both sides.

x + 5 = 1

Subtract 5 from both sides.

x = -4

So the value of x that satisfies the equation is -4. So the solution to the equation would be x = -4.

I hope you find my answer and explanation to be helpful. Happy studying.