13) Three adjacent angles are at a point. The first angle is represented by x, the second angle is 20° more than the
first, and the third angle is 20° more than the second angle. Find the measurements of all three angles.

Missing value of the table is 9.

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent. If two or more ratios have the same value when reduced to their most basic form, they are said to be equal. For instance, the ratios 1:2, 2:4, and 4:8 are identical. When reduced to their most basic form, all three ratios have the same value, or 1:2. We can multiply or divide the words by a natural number to get analogous ratios to a given ratio. When two words are co-prime (have just one other common factor), we multiply them by any natural number instead of performing the division procedure.

Given Data

Violins

Cellos

8  24

3

Let missing number be x

[tex]\frac{8}{24}[/tex] = [tex]\frac{3}{x}[/tex]

When we compare two ratios, they are said to be equivalent.

If two or more ratios have the same value when reduced to their most basic form, they are said to be equal

simplifying, [tex]\frac{8}{24}[/tex]

[tex]\frac{1}{3}[/tex]

[tex]\frac{3}{x}[/tex] =[tex]\frac{3}{9}[/tex]

Missing value of the table is 9.

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[tex]-(5)^{2*4} \\-(5)^{8} \\\\=-390,625[/tex]

Considering the definition of parallel line, the statement "They are parallel" describes the graph of y= -x+3 and y=-x+6.

A linear equation o line can be expressed in the form y = mx + b

where:

Parallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope or value of m and different y-intercepts or value of b.

In this case, you know:

Two lines are parallel if they have the same slope and different y-intercepts. Then, both lines are parallel.

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Answer:

3x^2-2x+3 with a remainder of 1/x+2

Step-by-step explanation:

Answer:

70°

Step-by-step explanation:

The sum of the interior angles is 180.  Subtract the 40 that you know about and you have 140.  Since the two sides are equal, the angles opposite them are equal.  140/2 = 70

The appropriate choice of ratio  will be given by

She will need 6 cups of orange juice to keep the ratio in a full punch bowl the same.

What is ratio?

Ratio determines the comparision among many quantities with the same unit.

Here,

Let the number of cups of Cranberry juice be 4x,

Number of cups of lemon lime soda be x

Number of cups of orange juice be 2x,

Number of cups of pineapple juice be 2x

Total = 4x + x  + 2x + 2x = 9x cups

By the problem,

                          9x = 27

                            x = [tex]\frac{27}{9}[/tex]

                            x = 3

Number of cups of orange juice = 2 * 3 = 6 cups

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Answer:

Communitave Property

Step-by-step explanation:

Hope this helps!<3°

Answer:

6 out of 24

Step-by-step explanation:

5+5+6+8 = 24

there are 6 peanut butter cookies

In all there are 24 cookies

Since there are 6 peanut butter cookies since there are 24 cookies there is a chance of 6 and 24 of getting a peanut butter cookie.

Answer:

(-5, -3)

Step-by-step explanation:

We can use the fact that the diagonals of a parallelogram bisect each other

Let me classify the points as

A (-4, 7)

B (2, -5)

C (3, 5)

Let us assume the 4th vertex is D(x, y) where x and y have to be determined

We will assume that AB is the diagonal of the parallelogram ABCD

The midpoint of a line segment from (x1, y1) to (x2, y2) is given by
(1/2)(x1 + x2, y1 + y2) ie the average of their x and coordinates

If we let O be the midpoint of AB, coordinates of O are
1/2 x (-4 + 2, 7 -5) = 1/2 x ( -2, 2) = (-1, 1)

We know the other diagonal CD must pass through point O and O is also the midpoint of CD

Therefore if coordinates of D are (x, y)

then  x-coordinate of O which is -1 should be the average of x coordinate of C and x coordinate of D
==>  - 1 = (3 + x)/2

=> -2 = 3 + x

=>  -2 - 3 = x

=> -5 = x

=> x = -5

Similarly
1 = (5 + y)/2

=> 2 = 5 + y

=> 2 - 5 = y

=> -3 = y

y = -3

So the coordinate of the fourth vertex D are (-3, -5)

Check the attached graphs for a clearer understanding

The values of interior angle is 63°,  46°,  71°

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three interior angles. Interior angles are sometimes defined as "angles enclosed in the interior region of two parallel lines when they are intersected by a transversal."

Put all the values equal to 180°,

=> (2x+5) + (x+17) + (3x-16) = 180°

Now, solve this equation and find x,

=> 6x + 22 - 16 = 180

=> 6x = 180 - 6

=> x = 174 / 6

=> x = 29°

Put x = 29° in the 2x + 5, x + 17, 3x - 16

2x + 15                |   x + 17          |   3x - 16      

2 * 29 + 15          |  29 + 17        |   3 * 29 - 16

63°                      |   46°             |   71°

Therefore, the  values of interior angle is 63°,  46°,  71°

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Answer:

[tex]\textsf{Slope}: \quad \dfrac{1}{3}[/tex]

[tex]\textsf{Point-slope form}: \quad y-8=\dfrac{1}{3}(x-9)[/tex]

[tex]\textsf{Slope-intercept form}: \quad y=\dfrac{1}{3}x+5[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Slope formula}\\\\slope ($m$) $=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\end{minipage}}[/tex]

Define the given points:

Substitute the defined points into the slope formula:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-8}{-3-9}=\dfrac{-4}{-12}=\dfrac{1}{3}[/tex]

[tex]\boxed{\begin{minipage}{4.6 cm}\underline{Point-slope formula}\\\\$y-y_1=m(x-x_1)$\\\\where $m$ is the slope and\\ $(x_1,y_1)$ is a point on the line.\end{minipage}}[/tex]

Substitute point (9, 8) and the found slope into the point-slope formula:

[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]

[tex]\boxed{\begin{minipage}{3.8 cm}\underline{Slope-intercept formula}\\\\$y=mx+b$\\\\where $m$ is the slope\\ and $b$ is the $y$-intercept.\end{minipage}}[/tex]

To write the equation of the line in slope-intercept form, rearrange the point-slope formula:

[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]

[tex]\implies y-8=\dfrac{1}{3}x-3[/tex]

[tex]\implies y-8+8=\dfrac{1}{3}x-3+8[/tex]

[tex]\implies y=\dfrac{1}{3}x+5[/tex]

The percentage change is 16%

The initial value is 125.99

It changed to 150

The percentage change can be calculated  as follows

= 150 - 125.99/150 × 100

= 24.01/150 × 100

= 0.16 × 100

= 16%

Hence the percentage change is 16%

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Answer:

y = (5/2)x + 2

Step-by-step explanation:

(2, 7)

(x₁, y₁)

m = (5/2)

y - y₁ = m(x - x₁)

y - 7 = (5/2)(x - 2)

y - 7 = (5/2)x - 5

   +7              +7

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

y = (5/2)x + 2

I hope this helps!

The number of phone calls on the first evening is 16. The number of phone calls on the second evening is 26. The number of phone calls on the third evening is 32.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Over the last 3 evenings, Maria received a total of 74 phone calls at the call centre. The second evening, she received 10 more calls than the first evening. On the third evening, she received 2 times as many calls as the second evening.

The number of phone calls on the first evening:- x

The  number of phone calls on the second evening:- x + 10

The number of phone calls on the third evening:- 2x

x + x + 10 + 2x = 74

4x = 74 - 10

4x = 64

x = 16

The number of phone calls on the second evening:-

x + 10

16 + 10 = 26

The number of phone calls on the third evening:-

2x = 2 x 16 = 32

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Answer: Is 17 a prime number? Yes, 17 is a prime number because it only has two factors, 1 and 17.

The measure of the triangle for the value of x is x = 11.

A triangle is a 2-dimensional closed shape with three sides, three angles, and three vertices. A triangle is a type of polygon.

For the given value of triangle;

The three angles are given as;

By the sum of all angles of triangle property.

The sum of all three angles of the triangle is 180°

Thus,

3x + 8 + 4x + 11 + 84 = 180

Simplifying;

7x = 180 - 103

7x = 77

x = 11

Thus, the solution of x of the given triangle is found as x = 11.

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Answer:

Use the distributive property to solve this.

(3x²-5x+7)(2x²+x-2)

= 6x⁴+3x³-6x²-10x³-5x²+10x+14x²+7x-14

= 6x⁴-7x³+3x²+17x-14

The equivalent fractions shown on the fraction bar is 3/4 and 6/8.

The multiplier is 2.

The equivalent fractions shown on the fraction bar are 4/6 and 12/18.

The divisor is 3.

A fraction is a non whole number that is made up of a numerator and a denominator. The numerator is the number above the line and the denominator or divisor is the number below the line. An example of a fraction is 1/10. 1 is the numerator and 10 is the denominator.

Equivalent fractions are fractions that have different numerators and denominators but when expressed in its simplest form, they are the same fractions. For example, 1/2 and 3/6 are equivalent fractions because when 3/6 is expressed in its simplest form, it is 1/2.

In the first fraction bar given, there are 4 bars and 3 are shaded. Thus, the fraction it represents is 4/6. Likewise in the second fraction bar, 6 are shaded and there are 8 bars.

In the third fraction bar, 12 are shaded and there are a total of 18 bars. The fraction is 12/18. In the fourth fraction bar, 4 are shaded and there are 6 total bars. The fraction is 4/6.

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The next fraction in the given sequence is 13/18

In this question, we have been given a sequence of fractions.

17/ 18 , 8 /9 , 5/ 6 , 7/ 9 , . . .

We need to determine the next fraction in the given sequence.

We rewrite the fraction 8/9 as,

8/9 = 8 × 2 / 9 × 2

      = 16/18

We rewrite the fraction 5/6 as,

5/6 = 5 × 3 / 6 × 3

      = 15/18

We rewrite the fraction 7/9 as,

7/9 = 7 × 2 / 9 × 2

      = 14/18

This means, the given sequence of fractions is 17/18, 16/18, 15/18, 14/18, ...

From this sequence, the next fraction would be 13/18

Therefore, the next fraction in the given sequence is 13/18

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Answer: Let's be honest, no one knows the answer. Unless you want to pay coursehero $9.95/mo for an answer and step-by-step explanation, you're toast.

Some of my answers are absolutely amazing, and actually helpful. But some of my answers are not.

A lot of the time, Brainly's "Expert Verified Answers" are very incorrect, and even if you report it, Brainly does not care.

So, if Brainly ITSELF can't answer a question properly, well,

Simply put, your grade is toast.

And if Brainly deletes this absolutely wonderful fantastic answer, that just means that they are acknowledging that these "Expert Verified Answers" are not as "expert" as they may think they are.

:|

The average rate of change from week 1 to week 4 is 3 animals per week.

It should be noted that a mean simply refers to the average set of numbers that are given.

This will be illustrated as thus:

The total number of rate of change animals from week 1 to week 4 will be:

= (73 - 62) + (78 - 73) + (86 - 78)

= 11 + 5 + 8.

= 24

Therefore, the average will be:

= Total changes / Number of weeks

= 24 / 8.

= 3

Therefore, there's an average of 3 animals added every week.

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Angle #1 = 90 Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 22= 90. Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 8 = 90 . Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 2 =  90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.

#17 = 60. Reason:  We have the sum of all interior angles at 180.

180 degrees  = 30+ 90+ #17

so # 17 = 180 - ( 30+90) = 60.

#23= 90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.

# 19= 90. Reason:  Opposite sides are equal and parallel. It has 2 diagonals of equal length.

#26 = 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.

#21 = 90.  Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 16 = 60  Reason:  We have the sum of all interior angles at 180. And Opposite sides are equal and parallel. So # 16 + 90 + # 27 = 180

so # 16 + #27 = 180-90 = 90.

#3= 30. We have # 16 +# 3 = 90. So 60 +# 3 = 90. Hence, # 3 = 30.

#27 = 30.

The nth term in the Fibonacci series is printed at the conclusion of the program.

So, until a condition is satisfied, recursions involve calling a function from within a function.

The necessary function, which uses comments to describe each line, is as follows:

//This defines the function

public static int fibonacci(int n) {

//The function returns -1, if n is negative

if(n<0){

return -1;}

//The function returns the value of n, if n is 0 or 1

if(n==0||n==1){

return n;}

//If otherwise

else{

//The function returns the nth term of the Fibonacci series

return fibonacci(n-1)+fibonacci(n-2);

}

}

Therefore, the nth term in the Fibonacci series is printed at the conclusion of the program.

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The correct question is given below:

The Fibonacci sequence begins with 0 and then 1 follows. All subsequent values are the sum of the previous two, for example: 0, 1, 1, 2, 3, 5, 8, 13. Complete the fibonacci() method, which takes in an index, n, and returns the nth value in the sequence. Any negative index values should return -1.

Ex: If the input is: 7

the out put is :fibonacci(7) is 13

Note: Use recursion and DO NOT use any loops. // is this mean i don't have to use loops? for (int i = 1; i<= n; ++i)

import java.util.Scanner;

public class LabProgram {

public static int fibonacci(int n) {

/* Type your code here. */

public static void main(String[] args) {

Scanner scnr = new Scanner(System.in);

int startNum;

System.out.println("Enter your number: ");

startNum = scnr.nextInt();

System.out.println("fibonnaci(" + startNum + ") is " + fibonacci(startNum));

}

}

Answer: 2.An element from the domain is paired with more than one element from the range.

Step-by-step explanation:

I did the quiz

Correct me if im wrong

Have a great day!

Answer:

Step-by-step explanation:

hshshaahhs

Answer:

28

Step-by-step explanation:

J(x) = 3x^2 + 2x - 5

they have asked us to find J(3), therefore substitute x with 3 throughout the equation.

j(3) = 3*3^2 + 2*3 - 5

J(3) = 3*9 + 6 - 5

J(3) = 27 + 6 - 5
J(3) = 33 - 5 = 28

Answer:

Step-by-step explanation:

-588