A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 63 square feet. Find the length of the rectangle

Answer:

6x + 20 + 4x + 80 - 2x=180

6x + 4x - 2x= 180 - 80 - 20

8x = 80

x = 10

The value of x in the triangle is 10, the value of each angle are; 80, 40 , 60 respectively

The total angle can be added as

note that the total angle in the triangle is 180

[tex]6x + 20 + 4x + 80 - 2x=180[/tex]

[tex]6x + 4x - 2x= 180 - 80 - 20[/tex]

[tex]8x = 80x = 10[/tex]

Then we can know the angles as ;

[tex]6x + 20=(6*10) +20 =80\\4x = 4*10 = 40\\80 - 2x = 80 - (2*10) = 60[/tex]

Learn more about triangle at

https://brainly.com/question/17335144

#SPJ2

Answer:

Dried Apricots

Step-by-step explanation:

Divide dollars per pound to find amount per pound and then compare.

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 18, z = 3 when x = 6 , then

- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )

- 108 = 3k ( divide both sides by 3 )

- 36 = k

y = [tex]\frac{-36z}{x}[/tex] ← equation of variation

When x = 5 and z = - 5, then

y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36

Answer:

54 cupcakes

Step-by-step explanation:

You would see how much sugar goes into each cupcake which is 1/18 cups of sugar in each cupcake, next you would see how many cupcakes you can make by turning the total 3 cups of sugar into an improper fraction of 54/18,  then you would see how many times 1/18 can go into 54/18 which is 54 times meaning that with 3 cups of sugar you can make a total of 54 cupcakes.

Answer:

D

Step-by-step explanation:

Given

n² - n - 42

Consider the factors of the constant term (- 42) which sum to give the coefficient of the n- term (- 1)

The factors are - 7 and + 6 , since

- 7 × + 6 = - 42 and - 7 + 6 = - 1 , then

n² - n - 42 = (n - 7)(n + 6) ← in factored form

Solution :-

Given,

We need to factorise it.

So let's start !!

Two factors are -7 and 6.

Therefore,

Step-by-step explanation:

by basic proportionality therom

x/33=14/20

20×x=14×33

20x=462

x=462/20

x=23.1

The value of x from the triangle is x = 22.1

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the triangle be ABC and ADE

The triangles ΔABC ≅ ΔADE

Now , Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

So , the ratio of the sides will be

AD / AB = AE / AC

Substituting the values in the equation , we get

14 / 20 = x / 33

Multiply by 33 on both sides of the equation , we get

The value of x = ( 14 x 33 ) / 20

The value of x = 462 / 20

The value of x = 23.1

Therefore , the value of x is 23.1

Hence , The value of x from the triangle is x = 22.1

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

Answer: 0,-1

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

Since the two given angles are vertical angles, we know (5x) = 65.

Divide both sides by 5 : 5x = 65    and we get x = 13

                                             5

Answer:

A

Step-by-step explanation:

A translation of 5 units up means adding 5 to the y- coordinate

Then

D (- 3, - 5 ) → D' (- 3, - 5 + 5 ) → D' (- 3, 0 ) → A

Answer:

27/28

Step-by-step explanation:

2/7 - x =5/4

-2/7      -2/7

    x=27/28

You are absolutely correct

Answer:

34.50/3=11.5 SOOOOO- the answer will be 11.50$ (11 bucks 50 cents)

Step-by-step explanation:

Answer: Amelia would spend exact $28.75

Answer:

y=4(x-3)

Step-by-step explanation:

if x=3, subtract 3 from each side to get x-3=0

point (4, 4). That is, when x=4, y=4.

Plug those in and solve for a.  

y=a(x-3)

4=a(4-3)

4=a(1)

4=a

 Thus,  

y=4(x-3)

Answer:

Step-by-step explanation:

70 is missing , but so is a box   ????

Answer:

C.

y= −5/4x

Step-by-step explanation:

Write an equation of the direct variation that includes the given point. (-8, 10)

1

first divide y by x to find the constant

2

Then write the equation using that constant. The constant can be written as a fraction or a decimal.

RESULT

Answer:

Write the equation of each inequality. 5. 6 ... What are the smallest values of consecutive integers that will make this true. ... Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening. He needs to earn $160 in all. To the nearest hour, what is the least number of hours Stan.

Step-by-step explanation:

Inequalities Exit Ticket Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He earned at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, ... additional $100 in tips waiting tables on Saturday He earned at least $160 in all

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

Given that, Shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday he earned at least $160 in all.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of hours be x.

Now, 7.55x+100≥160

Subtract 100 on both the sides of inequality, that is

7.55x+100-100≥160-100

⇒ 7.55x≥60

Divide 7.55 on both the sides of inequality, that is

7.55x/7.55 ≥ 60/7.55

⇒ x ≥ 7.94

7.94≈8

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

To learn more about the inequality visit:

https://brainly.com/question/20383699.

#SPJ2

Answer:

it's yes

Step-by-step explanation:

hope it help

follow me plsss

Answer:

the x angle = 45 ............. 45

Answer:

73554

IM sorry if this is not the correct answer, it is very hard to understand

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

-8

Step-by-step explanation:

-7+-3+4+1+-2+-8+7=-8divided by7=-1

Answer:

ugxitskydkydmyydktdlydoyzlyzittxltzljxkg

Answer:

Hi! The answer to your question is [tex]29[/tex]

Step-by-step explanation:

[tex]3(7)+8[/tex]

[tex]3(7) = 21[/tex]

[tex]21 + 8[/tex]

[tex]= 29[/tex]

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

:

1.

centre(h,k)=(-13,9)

radius (r)=6

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x+13)²+(y-9)²=6²

(x+13)²+(y-9)²=36you can write this equation too

x²+26x+169+y²-18y+81=36

x²+y²+26x-18y+169+81-36=0

x²+y²+26x-18y +214=0

is a required equation of the circle.

2.

centre(h,k)=(1,-1)

radius (r)=11

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-1)²+(y+1)²=11²

(x-1)²+(y+1)²=121

you can write this equation too

x²-2x+1+y²+2y+1=121

x²+y²-2x+2y=121-2

x²+y²-2x+2y=119

is a required equation of the circle.

3.

centre (h,k)=(3,1)

radius (r)=4units.

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-3)²+(y-1)²=4²

(x-3)²+(y-1)²=16 is a required equation.

4.

centre(h,k)=(4,-2)

radius (r)=3

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-4)²+(y+2)²=3²

(x-4)²+(y+2)²=9

you can write this equation

Answer:

Step-by-step explanation:

Answer:

is this the full question?

Step-by-step explanation:

Answer:

y=4(2x-5)

Step-by-step explanation:

that's the expanded form.