if the sides of a triangle are produced in order prove that the sum ofexterior angles so formed is equal to four right angles
​

Answer:

the answer is b)20+5x=55

Answer:

y= 9 ( 5 dollars bill)

x=10 ( one dollar bill)

Step-by-step explanation:

let x be the one dollar bill and y the 5 dollar bill

x+y=19 ⇒ x=19-y

x+5y=55 ( solve by substitute x=19-y)

19-y+5y=55

4y=55-19

4y=36 ⇒ y=36/4

y= 9 ( 5 dollars bill)

x+y=19

x+9=19

x=19-9

x=10 ( one dollar bill)

check :

x+5y=55

10+5(9)=

10+45 = 55 dollars

Answer:

c=3

Step-by-step explanation:

Answer:

I think it is 81cm squared

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: 81 \: {cm}^{2} }}}}}[/tex]

Step-by-step explanation:

Given , length of a square = 9 cm

We know that, all the sides of the square are same.

Finding the area of the square

[tex] \boxed{ \sf{area \: of \: a \: square = {l}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{ \: area \: of \: a \: square \: = \: {(9 \: cm)}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{area \: of \: a \: square \: = 9 \: cm \: \times \: 9 \: cm}}[/tex]

[tex] \dashrightarrow{ \sf{area \: of \: a \: square = 81 \: {cm}^{2} }}[/tex]

Hope I helped!

Best regards! :D

Answer:

D

Step-by-step explanation:

Hope this help u

Answer:

c

Step-by-step explanation:

I HAD COMPLETED the test when I REMEMBERED the correct answer.

(remembered is a past tense. Therefore it's more appropriate to use "had completed")

Answer:

x = 3

Step-by-step explanation:

Hi there !

0 = - 2x + 6

2x = 6

x = 6 : 2

x = 3

Good luck !

Answer: 6 candies per row.

Step-by-step explanation:

The restrictions that we have are:

Each row has the same number of candies.

Each row has only one color of candy.

We want to find the largest possible rows.

We have 18 green candies and 24 red candies.

Now, to arrange them in rows of equal numbers, we should find a common factor between 18 and 24. (particularly, we want to find the largest common factor between 18 and 24).

Now, to find common factors we first take the smaller number, and we divide it by different numbers, starting by 2 (we want to divide by small numbers, so the result will be the largest factor)

18/2 = 9.

Now to see if 9 is also a factor of 24, we see if the quotient between 24 and 9 is a whole number.

24/9 = 2.66

This is not a whole number, so 9 is not a common factor.

Now we divide by the next number, 3.

18/3 = 6.

24/6 = 4.

So 6 is a common factor of 18 and 24.

Then each row will have 6 candy.

And we will have:

18/6 = 3 rows of green candy.

24/ = 4 rows of red candy.

Answer:

The range is 17

Step-by-step explanation:

91-74 = 17

The range is the highest number subtracted by the lowest number

Answer:

17

Step-by-step explanation:

Answer:

9*4 or 9 into 4

Step-by-step explanation:

Answer:

The answer is A. 10b = c

Step-by-step explanation:

Well if it's $10 per book and the total cost is C. Then you would multiply the amount of books with the cost per book and have it equal the the total C.

Answer:

.200 because 22,000 % by 7 is 1540 which you divide by 10,000

Step-by-step explanation:

hope this helps

The approximate monthly decrease in value is $255.2

A percentage is a number or ratio expressed as a fraction of 100.

Given,

Value of the car = $22000

Loss percentage of value per year = 13.9%

Loss percentage of value per month =[tex]\frac{13.9}{12}[/tex] =1.16%

Decrease in value per month = [tex]22000(\frac{1.16}{100})[/tex]= $255.2

Hence, the approximate monthly decrease in value is $255.2

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Answer:

Step-by-step explanation:

-2 x 14 = -28

b is the answer

Answer:

yes it does, -6x2= -18

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

thgric7cuf j u gif dude jfcrcifcru u fug tu

Answer:

87

Step-by-step explanation:

x=6

15+12(6)

15+72

87

Given :

Number of paintings Adrian created each month for the last year are :

4, 5, 2, 1, 0, 3, 2, 4, 3, 2, 7, 5 .

To Find :

The median of the set of data .

Solution :

To find the median we should arrange the numbers in ascending order .

So , 0, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 7 .

Now , median for odd is the middle term but for even numbers it is the average of middle two terms .

So ,

[tex]Median =\dfrac{3+3}{2}\\\\Median =3[/tex]

Therefore , the median of the set of data is 3 .

Hence , this is the required solution .

Answer:

Para preparar la receta de flan para 9 personas se necesita [tex]\frac{3}{4}[/tex] L de leche

Step-by-step explanation:

La regla de tres simple directa se utiliza cuando el problema trata de dos magnitudes directamente proporcionales, es decir, magnitudes que si al multiplicar o dividir una de ellas por un número, la otra queda multiplicada o dividida por ese número. Es decir, cuando una magnitud aumenta la otra también lo hace en la misma proporción, y si la magnitud disminuye la otra disminuirá de igual forma.

Conociendo 3 valores “a”, “b” y “c” y teniendo un valor incógnita que deseamos conocer, la regla de tres simple directa se aplica de la siguiente forma:

a ⇒ b

c ⇒ x

Entonces : [tex]x=\frac{c*b}{a}[/tex]

En este caso se aplica de la siguiente manera: considerando que cada persona recibe una porción, si para preparar la receta para 3 personas se necesita [tex]\frac{1}{4}[/tex] de litros de leche, para preparar la receta para 9 personas cuánta leche se necesita?

3 personas ⇒ [tex]\frac{1}{4}[/tex] L

9 personas ⇒ x

[tex]x=\frac{9 personas*\frac{1}{4} L}{3 personas}[/tex]

x= [tex]\frac{3}{4}[/tex] L

Para preparar la receta de flan para 9 personas se necesita [tex]\frac{3}{4}[/tex] L de leche

Answer:

The question is not clearly stated, below is the clearly stated question and answer:

A customer wants you to enlarge a photo to 2 3/4 its current height. The photo’s current height is 3 1/4 inches. What should its enlarged height be, in inches?

Answer:

[tex]Enlarged\ height = 8\frac{15}{16}\ inches[/tex]

Step-by-step explanation:

[tex]current\ height\ =\ 3\frac{1}{4} = \frac{13}{4} \\ magnification\ factor = 2\frac{3}{4} = \frac{11}{4} \\Magnification (enlargement)\ =\ (magnification\ factor) \times (current\ height)\\Magnification\ =\ \frac{11}{4} \times \frac{13}{4}\\ Magnification\ =\ \frac{143}{16}[/tex]

Next, we will concert from the improper fraction to a mixed fraction:

when 143 is divided by 16, there will be 8 whole numbers and a remainder of 15, hence, the mixed fraction is:

[tex]\frac{143}{16} = 8\frac{15}{16}[/tex] (Alternatively, a scientific calculator can be used)

Therefore, enlarged height [tex]= 8\frac{15}{16}\ inches[/tex]

We can use the distance formula to solve: √(x2-x1)²+(y2-y1)²

Side SA:

√(2-(-2))²+(3-(-3))²

√4² + 6²

√16 + 36

√52

≈ 7.21

Side AN:

√(5-2)²+(-4-3)²

√3² + -7²

√9 + 49

√58

≈ 7.62

Side NS:

√(-2-5)²+(-3-(-4))²

√-7² + 1²

√49 + 1

√50

≈ 7.07

Therefore, the shortest side is "NS"

Best of Luck!

Answer:

160 grams

Step-by-step explanation:

Since one batch of ganache needs 240 grams of chocolate, you divide 240 by 3, since the ratio is 3:2.

240÷3x= 80.

Now that you have x, multiply x by 2.

80*2= 160

You put in 3 to you piecewise function and 2 to your X value

Answer:

18-14=4

4 more sandwiches.

Answer:

1*3*3*3*3*3*3=729. For each term you multiply the previous term by three.

Answer:

2187

Step-by-step explanation:

To find the 8th term, we can find and use the explicit formula.

The standard form of the explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial term, r is the common ratio, and n is the nth term.

From the sequence, we can see that the first term is 1, and each term is 3 times the previous term. Thus, the common ratio is 3.

Substituting these into our equation, we will have:

[tex]x_n=1(3)^{n-1}\\x_n=(3)^{n-1}[/tex]

So, to find the 8th term, substitute 8 for n:

[tex]x_8=(3)^{8-1}[/tex]

Subtract:

[tex]x_8=(3)^7[/tex]

Evaluate:

[tex]x_8=2187[/tex]

So, the 8th term is 2187.

And we're done!

Answer:

4:18 pm

Step-by-step explanation:

An airport offers 2 shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave theairport together.

Shuttle A leaves every 6 minutes

Shuttle B leaves every 9 minutes

Solution

To solve for when next both shuttles will leave the airport together, find the least common multiples of 6 minutes and 9 minutes

Shuttle A (every 6 minutes) = 6, 12, 18, 24

Shuttle B (every 9 minutes) = 9, 18, 27, 36

The least common multiples of 6 minutes and 9 minutes is 18 minutes

4:00 pm + 18 minutes

= 4:18 pm

The next time both shuttles will leave theairport together is 4:18 pm of the same day

Answer:

Hey there!

Rafiq's error was that the other number is also changing. He had 4 x 8 and if he had 8 x 8, that would be twice as much, but he used 8 x 12 instead, and  12 is not 8.

Let me know if this helps :)

The other number that was also changing was Rafiq's mistake if Rafiq compares the expressions 4x8 and 8x12.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.

It is given that:

Rafiq compares the expressions 4x8 and 8x12

The correct statement is for Rafiq compare the expressions 4 X 8 and 8 X 12

The fact that the other number was also changing was Rafiq's mistake.

Rafiq had 4 × 8, therefore 8 x 8 would have been twice as much; however, he utilized 8 x 12, even though 12 is not equal to 8.

Thus, the other number was also changing was Rafiq's mistake if Rafiq compares the expressions 4x8 and 8x12.

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Answer:

The sum of 15 and a number is

85 - 15 = 70

Answer:33

Step-by-step explanation:

3/2 —> 1.5

1.5(100-C) C is 78°

1.5(100-78)

1.5(22)

33

The temperature in degrees Celsius, if the function of the relationship is given as 78 = 3/2(100 - C), is calculated as: C = 48

A function is a form of equation that relates one quantity that changes with another.

Given the formula for the function representing the relationship between D and C as, D = 3/2(100 - C), to find the temperature in degrees Celsius when the D = 78, substitute D = 78 into D = 3/2(100 - C).

78 = 3/2(100 - C)

(2)(78) = 3(100 - C)

156 = 3(100 - C)

156/3 = 100 - C

52 = 100 - C

52 - 100 = -C

-48 = -C

C = 48

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Answer:

BC = 144 units

Step-by-step explanation:

BC = BD + DC , substitute values

8x = 4x + 10 + 3x + 8 = 7x + 18 ( subtract 7x from both sides )

x = 18

Thus

BC = 8x = 8 × 18 = 144 units

Answer:

  45+π ≈ 48.1415926536

Step-by-step explanation:

Maybe you want the sum of 45 and pi:

  45+π ≈ 48.1415926536

The sum is irrational, so cannot be expressed exactly, except in the form 45+π.