Examine the diagram. It is not drawn to scale. A triangle has angles A, B, 80 degrees. The exterior angle to angle A is 150 degrees. Choose the statements that are true based on the diagram. ∠A is supplementary to the exterior angle. ∠A and the 80° angle are remote interior angles. 80° + m∠B + 150° = 360°. ∠B measures 70°. ∠A measures 40°.

Answer:

15.92

Step-by-step explanation:

50 ÷ 3.14 = 15.92

Answer:

A

Step-by-step explanation:

Answer:

41 square units

Step-by-step explanation:

It would be easier to split this shape up into a square and a triangle at the y=5 line.

The area of the square would be 16 and the area of the triangle(1/2 base x height) would be 25. 16 + 25=41

Answer:

what is the values of what?

Answer:

[tex]x+3[/tex] if [tex]x>2[/tex]

Step-by-step explanation:

Recall some following basic ideas about absolute value:

[tex]|0|=0[/tex] or I guess [tex]-(0)=0[/tex]

[tex]|3|=3[/tex]

[tex]|-3|=-(-3)[/tex] or just [tex]3[/tex] but there is a reason why I wrote it the way I did.

You see that the absolute value returned the same value if the value was positive.

You see that the absolute value returned the opposite value if the value was negative.

You can include 0 in either.

Let's look at [tex]|x+3|[/tex] alone for a second.

*[tex]|x+3|=x+3[/tex] if [tex]x+3[/tex] is positive or zero.

When is [tex]x+3[/tex] positive or zero? [greater than or equal to 0]

[tex]x+3\ge 0[/tex]

Subtract 3 on both sides

[tex]x\ge -3[/tex]

*[tex]|x+3|=-(x+3)[/tex] if [tex]x+3[/tex] is negative or zero.

When is [tex]x+3[/tex] negative or zero? [less or equal to 0]

[tex]x+3\le 0[/tex]

Subtract 3 on both sides

[tex]x\le -3[/tex]

So looking at the bullet points (the *), [tex]x>2[/tex] fits into the first inequality.

Therefore, [tex]|x+3|=x+3[/tex].

Hope this will help u....

Answer:

Relative frequency is the number of times an envent has occured.

When finding out the number of students with high interest you would take 30/100 because there was 30 students with high frequency and 100 students all together.

30/100=30%

A)30%

Hope this helps ;)

The relative frequency of students with high interest in the new International Studies program is 30%. This is calculated by dividing the number of high interest responses (30) by the total number of responses (100), and multiplying the result by 100.

The question asks us to calculate the relative frequency of students with high interest in the new International Studies program. To do this, we divide the number of students with high interest by the total number of students surveyed.

The total number of students polled is 30 (high interest) + 50 (medium interest) + 20 (low interest), which equals 100 students. So, to calculate the relative frequency for students with high interest, we divide the number of students with high interest (30) by the total number of students surveyed (100).

The calculation is as follows: (30 / 100) * 100 = 30%

Therefore, the relative frequency of students with high interest is 30%, which corresponds to option A in your multiple choice question.

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Answer:

132.52 [tex]cm^{2}[/tex]

Step-by-step explanation:

radius=3

Area of circle= 3.14x3 squared

=28.26

28.26x2=56.52

area of rectangle=76

The surface area of the composite figure will be 136.52 square cm.

The area of a two-dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The area is a combination of the area of the rectangle and the area of the circle. Then we have

A = L x W + 2 x πr²

The radius, length, and width will be 3 cm, 20 cm, and 4 cm, respectively.

The area is calculated as,

A = 20 x 4 + 2 x 3.14 x 3 x 3

A = 80 + 56.52

A = 136.52 square cm

More about the area link is given below.

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Answer:

$13.5

Step-by-step explanation:

27/2 = 13.5

Answer:

16 units

Step-by-step explanation:

Using the Pythagorean theorem, we can find 1/2 the length of b.  We will call it x

15^2 + (x)^2 = 17^2

225 + x^2= 289

Subtract 225 from each side

x^2 = 289-225

x^2 =64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x =8

This is one half the length of b

b= 2*8

b = 16

Answer:

16

Step-by-step explanation:

17² = 15² + (b/2)²

64 = (b/2)²

b/2 = 8

b = 16

Answer:

C

Step-by-step explanation:

First, you gotta complete the square!

x^2+12x+36 = (x+6)^2

y^2-12y+36 = (y-6)^2

So, we have (x+12)^2 + (y-6)^2 = -56 + 36 + 36

The right side of the equation is the radius^2.

Simplify:

-56 + 36 + 36 = 16

The square root of 16 is 4, so the answer is C!

Answer:   (C)

Step-by-step explanation:

· So mean is the average number for mean to happen  you would need to add then dived by the number of numbers n the question.

·    The Standard Deviation is a measure of how spread out numbers are.

hope this help

If each score in a set of data scores were increased by 8 points:

The mean would increase by 8, and the standard deviation would remain the same.

Option C is the correct answer.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Mean is the sum of all the values divided by the number of the values.

Example:

1, 2, 3, 4, 5

Mean = (1 + 2 + 3 + 4 + 5) / 5

Mean = 15/5 = 3

Now,

If 1 is increased in each set,

Mean = (2 + 3 + 4 + 5 + 6) / 5

Mean = 20/5 = 4

We see that,

3 + 1 = 4

So,

The Mean is increased by the number we add with each number.

Now,

The standard deviation shows how the values are spread so,

Increasing each number will not change the standard deviation.

Thus,

The mean would increase by 8, and the standard deviation would remain the same.

Learn more about mean here:

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Answer:

D. 1,200,000

Step-by-step explanation:

25%=0.25 which if multiplied by 4 = 1 which is the current followers. 300,000 multiplied by 4 = 1,200,000

Using percentages we know that the current followers of the sports franchise are (D) 1,200,000.

So, the current followers are:

Now calculate as follows:

Therefore, using percentages we know that the current followers of the sports franchise are (D) 1,200,000.

Know more about percentages  here:

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Answer: Search Results

Featured snippet from the web

Congruent circles have congruent radii the plural of radius. Concentric circles have the same center. A central angle has a vertex on the center and endpoints on the circle. given point

Answer:

4/12 or 1/3

Step-by-step explanation:

Answer:

1:3 or 1/3

Step-by-step explanation:

September, October, November, December

4 moths out of twelve

4/12 reduces to 1/3

The answer could be written 1/3 or 1:3.

Answer:

The SF is 2/3

Step-by-step explanation:

You can find this out by creating a ratio between the points and it's image. The one with the apostrophe is the image, and the bigger one is the pre-image.

Answer:

5/2 = 2 1/2 = 2.5

Step-by-step explanation:

4 * 5/8 = 4/1 * 5/8 = (5 * 4)/(1 * 8) = 20/8 = 5/2 = 2 1/2 = 2.5

Answer is 2.5 because 4 times 5 is 20 and 20 divided by 8 is 2.5

Answer:

20%

Step-by-step explanation:

Jus do the math for it and that be your answer right there.

Answer: 2.88

Step-by-step explanation:

48 x 0.06 = 2.88 and thats how much tax you will pay!!

Answer:

you have a 50-50% of landing heads and a 5 out 6 % chance of rolling a 5

Step-by-step explanation:

Answer: 1/12

Step-by-step explanation:

Answer:

y = |x| + 1

Step-by-step explanation:

Answer:

y = |x| + 1

Step-by-step explanation:

Think about it first just in your head: if we want to translate up, that means every input (x) needs to be increased by one. The way to do this is by adding 1 outside of the absolute value sign!

You can also graph it online or on your calculator if you're confused!

Perimeter formula: 2b + 2h

Area formula: b * h

Perimeter:

2(13) + 2(10)

26 + 20

46

Area:

13 * 10

130

The perimeter is 46ft.²

The area is 130ft.²

Best of Luck!

In mathematics, the perimeter of the 13ft by 10ft bedroom would be 46ft and the area would be 130 square feet.

The perimeter of a rectangle (which a bedroom is 13ft. by 10ft. mostly is) can be determined by adding up all the sides. So, the formula for a rectangle is: Perimeter = 2(length + width). Given that your length is 13ft and width is 10ft, the calculation would be Perimeter = 2(13ft + 10ft), resulting in a perimeter of 46ft.

The area of a rectangle is calculated by multiplying the length by the width. In this case: Area = length * width, therefore Area = 13ft. * 10ft., resulting in an area of 130 square feet.

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Answer:

[tex]177cm^2[/tex]

Step-by-step explanation:

Area of the Shaded region = Area of the Circle - Area of the Rectangle

[tex]=\pi r^2 -(LXB)\\r=8cm, L=12cm, B=2cm\\$Area of the Shaded region$ =[\frac{22}{7}X8^2]-[12X2] \\=201.14-24\\=177.14cm^2\\\approx 177cm^2[/tex]

Hope I was able to help you?

Answer:

the answer is 177.06 cm^2

Step-by-step explanation:

i just did it

Hope this will help u...

Answer:

Cost for each movie: $1.50 Cost for each video game: $6.75

Step-by-step explanation:

Let x be the cost (in dollars) of renting a movie.

Let y be the cost (in dollars) of renting a video game.

The total cost of renting 3 movies and 2 video games is +3x2y dollars.

We're given that this total cost is $18, so we have =+3x2y18.

The total cost of renting 5 movies and 6 video games is +5x6y dollars.

We're given that this total cost is $48, so we have =+5x6y48.

Therefore, we get the following system of equations.

=+3x2y18

=+5x6y48

Multiplying the first equation by −3 and adding gives us the following.

   −9 x− 6 y = −54      5 x+ 6 y =  48     −4 x+ 0 y = −6  

So we get the equation =−4x−6.

Solving for x, we get the following.

=x1.5

To find y, we can substitute 1.5 for x in =+3x2y18, the first equation in the system.

Then we solve for y.

+31.52y =18

+4.52y =18

2y =13.5

y =6.75

So, we have found that =x1.5 and =y6.75.

This means that the rental cost for each movie is $1.50 and the rental cost for each video game is $6.75.

Answer:

x² + 2x - 15

Step-by-step explanation:

Given

(x - 3)(x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 5) - 3(x + 5) ← distribute both parenthesis

= x² + 5x - 3x - 15 ← collect like terms

= x² + 2x - 15

Answer:

50, 60, 70

Step-by-step explanation:

The mode is the value that appears the most:

2 50s

2 60s

1 80s

2 70s

1 55s

1 85s

1 90s

The modes are 50, 60, and 70

Answer:

The mode is 50,60,70

Step-by-step explanation:

They are the numbers that repeat themselves multiple times but they all repeat the same amount so all 3 are correct

Answer:

C

Step-by-step explanation:

A y intercept lies on the y axis.

This means that the movement will happen with the y intercept, on the y axis.

8 is the original y intercept.

It is now changed to -3.

-3 is lower than 8 on the y axis so we are moving downward.

Now, to find the number of squares it moves, we can find the difference between 8 and -3.

8-(-3)=11

Therefore, The y-intercept will be moved 11 units downward.

Answer:

C.

Step-by-step explanation:

The -3x tells you the slope (rise/run). In this case, it will go downward because it is negative. It will have a slope of 3/1. The +8 or -3 is the y intercept and tells which direction the original line will go from its' starting point. So you would add those together to know which way the line moves.

Answer:

y = 3

x = -1

Step-by-step explanation:

The idea to start the problem is that we need to cancel x in one equation to find y first, therefore:

y = -x + 2 (let's multiply this entire equation by -4)

y = -4x - 1

We then have .:

- 4y = 4x - 8

   y = -4x - 1 (now we sum both equations)

.:

- 3y = -9 (isolate y)

   y = -9 / -3

   y = 3 (good we have y!)

Now come back to one of the equations, substitute y to find your x!

Substituting on the first equation we have:

3 = -x +2 (isolate x)

3 - 2 = -x

1 = -x (multiply everything by -1)

x = -1

I hope it helps :)

Answer:

Cant answer

Step-by-step explanation:

Depending on the option choices and without seeing the option choices I can give you an idea of how to solve this.

Using y=mx+b we can find the y intercept by knowing that B is the value of the y Intercept

Answer:

(0,-3)

Step-by-step explanation:

Find the m the slope (Y-y)/(X-x) using the two points given. Step 2 - Find b using slope- intercept y = mx + b and 1 of the points given.

Answer:

12 Cans and 14 boxes