Is the question inconsistent or conditional?

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:

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.

Learn more about finding the length of a given line here:

https://brainly.com/question/10607635

#SPJ2

Answ32fn333w3243333

Step-by-step explanation:

euefuehgegwhed

Answer:

25

Step-by-step explanation:

h hff DJ function schmitz ojos s la plz PC

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:

B. Add/subtract the same quantity from both sides.

in this case, it would be adding x to both sides to simplify the equation.

Answer: ADD/SUB THE SAME QUANTITY TO/FROM BOTH SIDES

YES: THEY ARE EQUIVALENT

Step-by-step explanation:

Answer:

m∠1 = 62°

m∠2 = 45°

m∠3 = 24°

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the remote interior angles.

The measure of angles ∠1, ∠2 and ∠3 are 62°, 45° and 24° respectively.

From the given figure, measure of angles are 118°, 73° and 49°.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

From the given figure, 118° + ∠1 = 180°

⇒ ∠1 = 180° - 118°

⇒ ∠1 = 62°

Now, 118° = 73° + ∠2

⇒ ∠2 = 118° - 73°

⇒ ∠2 = 45°

Using angle sum property of a triangle

62° + 49° + (∠2+∠3) = 180°

⇒ 111° + (∠2+∠3) = 180°

⇒ (∠2+∠3) = 180°- 111°

⇒ (∠2+∠3) = 69°

⇒ 45° +∠3 = 69°

⇒ ∠3 = 24°

Therefore, the measure of angles ∠1, ∠2 and ∠3 are 62°, 45° and 24° respectively.

To learn more about the exterior angle theorem visit:

https://brainly.com/question/2995226.

#SPJ2

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:  Conclusion validity is the degree to which conclusions we reach about relationships in our data are reasonable.

Step-by-step explanation:

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

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.

Answer:

Step-by-step explanation:

it b

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:

18

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:

True but are you talking about first of everything or before something else because if it's the first of everything the answer is false.

Answer:

5/6 because my friend owns a calculator that does fraction.

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

C

Step-by-step explanation:

Two equations and workout the answer

Answer:

-60

Step-by-step explanation:

3x1=3

3-4=-1

60 x -1 = -60

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:

LCD = 18

8/9 = 16/18

7/18 = 7/18

Step-by-step explanation:

This is the answer because:

1) First, the least common denominator is 18 because 9 x 2 is 18 and 18 x 1 is 18

2) Next, multiply the numerators with the same number you multiplied with the denominator  

8 x 2 = 16  

7 x 1 = 7  

3) Therefore, the answers are:

8/9 = 16/18

7/18 = 7/18  

Hope this helps!

Answer:

For $1.00 you can get 8 pencils

Step-by-step explanation: 24/3= 8

Can you give me Brainliest?

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 ,

https://brainly.com/question/4227212

#SPJ2