Graph the line that represents the equation ​

It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°

The adjoining star contains a regular pentagon. Thus;

Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°

Thus;

Each interior angle of the pentagon = 540/5 = 108°

Thus, each exterior angle = 180 - 108 = 72°

Then measure of the angle at the vertex = 180 - 72 - 72 = 36°

Thus, each angle at the vertices of the star have an angle of 36°.

There are 5 star vertices and so;

Sum of angles of 5 star vertices = 5 * 36 = 180°

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Answer:

2(4ax+2bx+2a+5b)

Step-by-step explanation:

Answer:

the original population was 425

Step-by-step explanation:

Answer:

425

Step-by-step explanation:

Let the original population of blackbirds be x.

Original population              decreases by                   New population

          100                                     24                                       76

            x                                        24                                     323

Now we can make an expression like this.

100  ⇒  76

x     ⇒   323

And now let us use cross multiplication and solve for x.

Let us solve it now.

323 × 100 = 76x

32300 = 76x

425=  x

Answer:

14.285714285714 %

Step-by-step explanation:

suppose the weekly payment is of x dollars

Then

Previous payment : $(x/40) per hour

New payment : $(x/35) per hour

Then

The percentage increase in the hourly rate of pay is :

[tex]=\frac{\frac{x}{35} -\frac{x}{40} }{\frac{x}{40} } \times100[/tex]

[tex]=\frac{\frac{5x}{1400} }{\frac{x}{40} } \times100[/tex]

[tex]=\frac{5x}{1400} \times \frac{40}{x} \times100[/tex]

[tex]=\frac{200}{1400} \times100[/tex]

[tex]=\frac{1}{7} \times100[/tex]

[tex]=14.285714285714[/tex]

The dot plot of the data recorded by Tricia about number of pets owned by each of her classmates looks like scattered and some points are in one line.

Given number of pets owned by each of her classmates are: 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3.

We have to create dot plot of the data given in the question.

Firstly we have to give a code to each value which represents friend of Tricia.

A dot plot is a statistical chart which have points but they are presented in dot form. Each dot shows a value .There are two common, yet different versions of the dot chart.

After giving codes the table will look like:

Friend                       Number of pets

1                                      0

2                                      3

3                                      2

4                                      4

5                                      1

6                                      0

7                                      0

8                                      3

9                                      2

10                                    1

11                                    2

12                                    1

13                                    1

14                                    3

15                                    4

16                                    2

17                                    0

18                                    0

19                                    1

20                                    1

21                                    1

22                                    0

23                                    3

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Step-by-step explanation:

the answer will be zero 0

Answer:

[tex]\pi \times radius \times hieght[/tex]

The data in the plot is Right skewed.

Therefore , Option A is the right answer

A right skewed distribution means most of the data lies to the right side of the graph's peak.

A dot plot is given and observing the data it can be seen that peak is towards the right side of the graph.

Thus the data in the plot is Right skewed.

Therefore , Option A is the right answer.

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The option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a table given that shows the survey asks teachers and students whether they would like the new school mascot to be a pirate or a moose.

The probability of a person that is a student:

P(student) = (75+15)/110 = 0.83

The probability:

P(student|pirate) = 75/80 = 0.93

The probability of both events is different.

Thus, the option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.

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The correct option is an open circle at 5 and a bold line starts at 5 and is pointing to the right.

The given inequality is -3(2x-5)<5(2-x).

Inequality is a declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

At first simplify each side

LHS of inequality -3(2x - 5) = -3(2x) + -3(-5) [∵(-)(-) = (+)]

⇒ -3(2x - 5) = - 6x + 15

Now, RHS of the inequality 5(2 - x) = 5(2) + 5(-x) [∵(+)(-) = (-)]

⇒ 5(2 - x) = 10 - 5x

Now, - 6x + 15 < 10 - 5x

Subtract 15 from both sides

That is, - 6x < -5 - 5x

Add 5x to both sides

That is, - x < - 5

Remember the coefficient of x is negative, and then when you divide both sides by it you must reverse the sign of inequality.

Now, the coefficient of x is -1

So, divide both sides by -1

Then, x > 5.

Hence, the correct option is an open circle at 5 and a bold line starts at 5 and is pointing to the right.

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Answer:

C

Step-by-step explanation:

2 equal angles are said to be congruent

Answer:

The slope of line p is 3 and the slope of line q is -3

Answer:

4 is the answer

Step-by-step explanation:

you can - or + the equation only then when the letter is same z and z both are same so you can - them and get the answer.

Answer:

64% > 60%

Step-by-step explanation:

Total Units = 9 + 16 = 25 units.

Sarah Receives 16 units out of 25.

Percentage = 16/25 * 100

= 64%

Therefore Sarah received more than 60% of this money and therefore Reece is correct.

Answer:

[tex]y=[1]cos([\frac{2\pi }{3}]x)[/tex]

Step-by-step explanation:

Looking at the graph, we can see the domain to be from (0 , 2π).

Now we have to find one period that corresponds to cos(x).

The half-period of cos(x) for this graph appears to be pi/3 and adding another pi/3 gets us 2pi/3 to be our cosine period.

b = 2pi/3

a is the same range as cos(x). Range: (0,0)

y = [a] * cos ([b]*x)

y = [1] * cos([2pi/3]x)

The probability that she gets a number greater than 4 is 1/3

A six-sided number cube has the following properties:

Faces = 6

Numbers greater than 4 = 2

The probability that she gets a number greater than 4 is calculated as:

P = 2/6

Simplify

P =1/3

Hence, the probability that she gets a number greater than 4 is 1/3

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The pair of functions are inverse of each other is, [tex]\rm f(x)=5x-9 \ and \ g(x) = \rm \frac{x-9}{5}[/tex].Option C is correct.

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

On checking the function one  by one we get that option c satisfies the conditions;

[tex]\rm f(x)=5x-9[/tex]

Change the coefficient;

y=f(x) as x=f(y)

The function is written as;

y=5x-9

x=5y-9

Simply the function;

[tex]\rm y = \frac{x+9}{5} \\\\ y=g(x) \\\\\ g(x) = \frac{x+9}{5}[/tex]

The pair of functions are inverses of each other is,[tex]\rm f(x)=5x-9 \ and \ g(x) = \rm \frac{x-9}{5}[/tex]

Hence option C is correct.

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[tex](7 {x}^{3} - 4 {x}^{2} ) + (2 {x}^{3} - 4 {x}^{2} ) \\ 7x ^{3} - 4 {x}^{2} + 2 {x}^{3} - 4 {x}^{2} \\ 7 {x}^{3} + 2 {x}^{3} - 4 {x}^{2} - 4 {x}^{2} \\ 9 {x}^{3} - 8 {x}^{2} [/tex]

PLEASE GIVE BRAINLIEST

Therefore , the solution of the given problem of equation comes out to be  9x³ - 8x².

A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra.

Here, we have,

Polynomial function total

Polynomial functions are those that have a leading degree of three or higher. given the total;

(7x^3-4x^2)+(2x^3-4x^2)

Expand => (7x 3-4 times) + (2x 3-4 times)

= > 7x^3-4x^2 + 2x^3-4x^2

assemble similar terms

=> 7x^3 + 2x^3 - 4x^2 -4x^2

=> 9x^3 - 8x^2

Therefore , the solution of the given problem of equation comes out to be 9x³ - 8x².

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Answer:

x = -2, -2

Step-by-step explanation:

3x² + 14x + 16 = 0

(3x+8) (x+2)

x = -8/3

x = -2

The solutions of the quadratic equation 3x² + 14x + 16 = 0 are x = -2 and x = -8/3.

To find the solutions of the quadratic equation 3x² + 14x + 16 = 0, we can use the quadratic formula.

The quadratic formula states that for an equation of the form ax² + bx + c = 0

The solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation 3x² + 14x + 16 = 0,

a = 3, b = 14, and c = 16.

Substituting these values into the quadratic formula, we get:

x = (-14 ± √(14² - 4.3.16)) / (2 × 3)

x = (-14 ± √(196 - 192)) / 6

x = (-14 ± √4) / 6

Now we have two possibilities for x:

x₁ = (-14 + √4) / 6

x₂ = (-14 - √4) / 6

Simplifying each expression:

x₁ = (-14 + 2) / 6

x₁ = -12 / 6

x₁ = -2

x₂ = (-14 - 2) / 6

x₂ = -16 / 6

x₂ = -8 / 3

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Answer:

5000

Step-by-step explanation:

1000/2=5000

The statement m∠WXY + m∠YXZ = 180° is true.

From the diagram, m∠WXY > m∠YXZ ⇒ m∠WXY ≠ m∠YXZ. So, option (a) is not true.

From the diagram, m∠WXY > 90° and m∠YZX < 90° ⇒ m∠WXY ≠ m∠YXZ. So, option (b) is not true.

The line WXZ is a straight line so ∠WXY and ∠YXZ are Linear pair. The sum of collinear angles is 180°. So, option (c) is correct.

From the diagram, m∠YXZ ≠ m∠XYZ but since m∠WXY + m∠YXZ = 180° ⇒ m∠WXY + m∠XYZ ≠ 180°. So, option (d) is not correct.

Option (c) is, thus, the correct option.

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Disclaimer: The question was incomplete. Please find the dull content below.

Which statement regarding the attached diagram is true?

m∠WXY = m∠YXZ

m∠WXY < m∠YZX

m∠WXY + m∠YXZ = 180°

m∠WXY + m∠XYZ = 180°

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Answer:

10

Step-by-step explanation:

Answer:

3,958 kjksjjdkskdjdjd

Answer:

300-6x

Step-by-step explanation:

Trust me

Answer:

x=115⁰

z=27⁰

Step-by-step explanation:

65+x=180 -> Due to same side interior being equal to 180 degrees

x= 115

x = 3z + 34 -> opposite interior being equal

115 = 3z + 34

81 = 3z

divide by 3 on both sides

z=27

The zeros of the quadratic function f(x) = 2x² + 16x - 9 are given as follows:

[tex]x = -4 + \sqrt{\frac{41}{2}}, x = -4 - \sqrt{\frac{41}{2}}[/tex]

A quadratic function is given according to the following rule:

[tex]y = ax^2 + bx + c[/tex]

The solutions are:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

In this problem, the equation is given by:

f(x) = 2x² + 16x - 9.

The coefficients are a = 2, b = 16, c = -9, hence:

[tex]\Delta = 16^2 - 4(2)(-9) = 328[/tex]

Then:

[tex]x_1 = \frac{-16 + \sqrt{328}}{2(2)} = -4 + \sqrt{\frac{41}{2}}[/tex]

[tex]x_2 = \frac{-16 - \sqrt{328}}{2(2)} = -4 - \sqrt{\frac{41}{2}}[/tex]

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