What is the perimeter of the polygon shown below?


A. 24 m
B. 45 m
C. 51 m
D. 57 m

Step-by-step explanation:

<ADC is 90

in triangle ACD

<CAD + ACD + ADC = 180

<CAD + ACD + 90 = 180

<CAD + ACD = 90

hence CAD AND ACD MAKES complementary angle(90)

Angle sum property

<ADC is 90°

As

Sum of angles in triangle is 180°

Hence they are complementary

Answer:

  A, B: False

  C, D, E: True

Step-by-step explanation:

The angle sum theorem and the definition of a linear pair of angles can help you answer these questions.

  m = x; False. Angles m and x are a linear pair. They are supplementary (total 180°). They are only equal if they are both 90°, which is not indicated in this diagram as being the case.

__

  z = x+y; False. Angles x, y, and z total 180° according to the angle sum theorem. The equation is only true if z = 90°, which is not indicated in this diagram as being the case.

__

  m = y +z; True. This is explained by the equations of D and E, which are also both true. The theorem that expresses this relationship is, "an exterior angle is equal to the sum of the remote interior angles."

__

  m = 180° -x; True. This is exactly what we mean when we say angles m and x are a linear pair. Together, they form a straight line. The angles of a linear pair are supplementary, meaning their sum is 180°. Angle m is also called an "external angle" of the triangle.

__

x = 180° -(y +z); True. The angles of a triangle total 180° according to the angle sum theorem. That means the value of any one of them is the difference between 180° and the sum of the other two. This is effectively telling you that angle x is supplementary to the sum of angles y and z.

Above, we noted that angle x is supplementary to angle m. Angles that are supplementary to the same angle have the same measure, so ...

  m = 180° -x

  180° -x = y +z . . . . . rearrange equation E

  m = y +z

Answer:

17/25

Step-by-step explanation:

P(not red)=Number of Skittles Not Red/Total Number of Skittles

The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:

For this case, we're specified that:

y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]

We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8

Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]

Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

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Answer: vertical compression of 0.35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Khan academy

The response that contributed most to the test statistic about human resources department is C. Disagree.

It should be noted that test statistic simply means a random variable that is used in hypothesis testing.

In this case, the response that contributed most to the test statistic about human resources department is to disagree. This is because there is sufficient evidence to show that they distribution of response is different now than it was before.

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Answer:

$294.00

Step-by-step explanation:

Whats the gross pay before taxes?

Answer: $294.00 with overtime and everything.

Answer:

[tex]\displaystyle 707\:ft.^2[/tex]

Step-by-step explanation:

Split the diametre in half before proceeding:

[tex]\displaystyle \pi{r}^2 = A \\ \\ 15^2\pi = A \hookrightarrow 225\pi = A \hookrightarrow 706,85834706... = A \\ \\ \boxed{707 \approx A}[/tex]

I am joyous to assist you at any time.

The total cost of 190 bon-bon chocolate to the nearest cent would be $30.49.

Multiplication is the process of determining the product of two or more numbers using a specialised mathematical operation. The sign that denotes multiplication is x.

Total cost = cost per gram x mass x number of bon bon

Mass = density x volume

1.28 x (4/3 x 3.14 x 1.1³) =5.35

Cost = 5.35 x 0.03 x 190 = $30.49

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Answer:

313.6 sqft.

Step-by-step explanation

Decimal

First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.

Fraction

First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.

Answer:

-20

Step-by-step explanation:

when you solve:  -7u-7=7, you get u= -2 and when you plug it in you get this equation 9(-2)-2=?

then you get -20

Hey there!

-7u - 7 = 7

ADD 7 to BOTH SIDES

-7u - 7 + 7 = 7 + 7

CANCEL out: -7 + 7 because it give you 0

KEEPs 7 + 7 because it help solve for the u-value

NEW EQUATION: -7u = 7 + 7

SIMPLIFY IT!

-7u = 14

DIVIDE -7 to BOTH SIDES

-7u/-7 = 14/-7

CANCEL out: -7/-7 because it give you 0

KEEP: 14/-7 because it give you the

u-value

NEW EQUATION: u = 14/-7

SIMPLIFY IT!

u = -2

SOLVING FOR : 9u - 2

9u - 2

= 9(-2) - 2

= -18 - 2

= -20

Therefore, your answer is: -20

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

13.99+.75+.75=15.49

Part A ) 15.49

Part B) Anna is correct because her pizza only cost 15.49 and if you subtract 15.49 from 20 it is 14.51

Step-by-step explanation:

Answer:

should be 110

Step-by-step explanation:

hope that helps!

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Answer:

8 square feet

Step-by-step explanation:

The formula of a volume of a prism:

We have

Substitute:

            divide both sides by 9

Answer:

Step-by-step explanation:

The first one is 8

The second one is 4

Answer:

ο Neither is correct.

Step-by-step explanation:

1) the vertex has coordinates (5;-7) the equation must be made up according to the rule: y=(x-x₀)²-y₀, where (x₀;y₀) - the coordinates of the vertex;

2) according to the rule above the equation of the given graph is:

y=(x-5)²-7;

3) finally, 'neither is correct'

The exponential function that shows San Francisco area after x years is y = 49(0.98)ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let y represent the land area of San Francisco after x years. Hence:

The city is only about 49 square miles in area, a = 49. It is losing 2% yearly, hence b = 100% - 2% = 0.98

The equation becomes y = 49(0.98)ˣ

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Answer:

67

Step-by-step explanation:

203-199=4

199-195=4

☆decreases by 4

there are 34 spaces

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35

203-4 (34)

203-136

=67

35th term of the arithmetic sequence 203, 199, 195,...... is 67.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given arithmetic sequence is,

203, 199, 195,......

In the sequence, the first time a = 203,

And common difference of the sequence d = -4

Formula for nth term of the sequence,

aₙ = a + (n-1) . d

To find 35th term of the sequence, substitute n= 35,

a₃₅ = 203 + (35-1).(-4)

     = 203 + 34x-4

     = 203 - 136

     = 67

The 35th term of the given sequence is 67.

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Answer:

x = 0

Divide both sides by the numeric factor on the left side, then solve.

Answer:

x=0

Step-by-step explanation:

1. Solve

-5(2x-3)=15

-10x+15=15

-10x+15-15=15-15

-10x=0

-10x/-10=0/-10

x=0

2. Check

-5(2x0-3)=15

-5(0-3)=15

-5x-3=15

15=15

3. Answer

x=0

Answer: 11.4%

Step-by-step explanation:

100% of your life is 57 years

?% will be 6.5 years?

this is a simple ratio problem:

57 --> 100%

6.5 ---> (6.5 x 100)/57 ≅ 11.4%

You have known the person for about 11.4% of your life.

Answer:

Step-by-step explanation:

Dimensions: 1 x 1 x 36 or 12 x 3 x 1 or 9 x 4 x 1 or 9 x 2 x 2

The dimensions of a pyramid are usually described in terms of its base and height. The base of a pyramid is the polygonal shape at the bottom of the pyramid, and the height is the perpendicular distance from the base to the apex.

To find the dimensions of a pyramid with a volume of 36 cubic units, we need to use the formula for the volume of a pyramid:

Volume of a pyramid = (1/3) x Base area x Height

Let's assume that the base of the pyramid is a square with sides of length "a". Therefore, the base area of the pyramid is a x a = a^2.

Now, we can substitute the given volume of 36 cubic units into the formula:

36 = (1/3) x a^2 x h

Multiplying both sides by 3 and dividing by a^2, we get:

h = 108/a^2

So, the height of the pyramid is equal to 108 divided by the square of the length of one side of the base.

We can choose any value for "a" and calculate the corresponding value of "h" that will result in a volume of 36 cubic units.

For example, if we choose "a" to be 3 units, we get:

h = 108/3^2 = 12 units

Therefore, the dimensions of the pyramid are:

Base: 3 units x 3 units

Height: 12 units

Checking the volume using the formula, we get:

Volume of the pyramid = (1/3) x 3^2 x 12

Volume of the pyramid = 36 cubic units

So, a pyramid with a base of 3 units by 3 units and a height of 12 units would have a volume of 36 cubic units.

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Answer:

1.274cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

√(23)

Step-by-step explanation:

The Pythagorean Theorem is a² + b² = c²

so...

a = 7

b = 3

7² + 3² = c²

14 + 9 = c²

√(23) = c

PLEASE RATE!! I hope this helps!!

If you have any questions let me know

Answer:

10+5 =15 thanks for asking

range is the highest minus the lowest

Step-by-step explanation:

so a is 599- 132 = 467

for b median is the middle number 132 and 599

so u add them then divide by 2 so the answer of b is 365.5

Answer:

A. (-5, -28)

Step-by-step explanation:

The coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex]  is

(-5, -28).

It is given that the function  [tex]\rm f(x) = x^2+10x-3[/tex]

It is required to find the coordinates of the vertex.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a function:

[tex]\rm f(x) = x^2+10x-3[/tex]

This function represents a parabola.

We know the standard form of parabola in quadratic style:

[tex]\rm f(x)=ax^2+bx+c[/tex]

By comparing the given function to the standard form of parabola, we get

a = 1, b = 10, and c = -3

The vertex of the parabola is given by:

[tex]\rm x = -\frac{b}{2a}[/tex]

Putting the values in the above equation, we get:

[tex]\rm x = -\frac{10}{2\times1} \Rightarrow -5[/tex]

x = -5 put this value in the given parabola function, we get:

[tex]\rm f(-5) = (-5)^2+10(-5)-3\\\rm f(-5) = 25-50-3\\\rm f(-5) = -28[/tex]

or y = -28

The coordintes = (x, y) : (-5 , -28) which is shown in the graph.

Thus, the coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex]  is (-5, -28).

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Answer:

3 milkshakes will cost 0.75 cents

4 milkshakes will cost $1.00

Step-by-step explanation:

3 x 0.25 = 0.75

4 x 0.25 = 1.00

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Answer: ≈ 185.73009

Step-by-step explanation:

area of square: [tex]length^{2}[/tex]

area of circle: [tex]\frac{radius^{2} * \pi }{y}[/tex]

length: 15

radius = diameter/2

radius: 5

area of square - area of circle =  area between square and circle:

[tex]15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2}[/tex] ≈ 185.73009

hope it helps!

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