The dot plot below represents a set data. Which set of data does this represent?

An outside angle is equal to the sum of the two opposite inside angles.

This means 150 = x + (x+20)

Now solve for X:

150 = x + x+20

simplify:

150 = 2x+20

Subtract 20 from each side:

130 = 2x

Divide both sides by 2:

x = 130/2

x = 65

Now we have X = 65

Solve for the other angle with x in it, by replacing x with 65:

x = 20 = 65 +20 = 85

The three inside angles of a triangle need to equal 180 so now we can solve for Z:

z = 180 - 65 - 85 =  30 degrees.

X = 65, Z = 30

Answer:

[tex]\sqrt[3]{8*320}  = \sqrt[3]{2,560}  = 13.67[/tex]

Step-by-step explanation:

To find an equal or equivalent expression, simplify the expression by applying order of operations.

8*320 = 2,560

Now apply the exponent of 1/3. A fraction exponent is a radical where the denominator is the index.

[tex]\sqrt[3]{2,560}  = 13.67[/tex]

Answer:

Have a great rest of your day :)

Step-by-step explanation:

Answer:

180 degrees and interior

Step-by-step explanation:

X and y equal 180 and make the shape C therefor are interior angles

Without specific details like an equation or diagram, we can't find the actual values of x and y. But we can talk about how angles can relate to each other generally - they can be complementary (add up to 90 degrees), supplementary (add up to 180 degrees), or vertical (equal when two lines intersect).

The question is missing specific details like an equation or a diagram that we can use to find the actual values of x and y. Without these, it's not possible to provide a direct answer. However, we can discuss how angles relate to each other in a general sense.

These are just a few examples of the relationship between angles that could help guide your understanding. If you have a specific problem involving angles and variables, please provide it so we can assist you more accurately.

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Answer: E

I'm not completely sure, but I tried.

Answer:

13

Step-by-step explanation:

12+18+13+16+6=65

Then divide by how many of them there are (5).

65/5=13

The average age will be 13 years

In order to find the average of quantities we use the following formula

So putting the value

Average age = (12+18+13+16+6) / 5

Average age is 13

Answer:

20 + 24 = 44

Hoped this helped :)

The equations are x + y = 44 and y = 2x + 2. Then the value of the two numbers is 14 and 30.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The sum of the two numbers is 44. One number is 2 more than twice the other.

Let the two numbers be 'x', 'y' and y > x. Then we have

x + y = 44             ...1

y = 2x + 2            ...2

From equations 1 and 2, then we have

x + 2x + 2 = 44

3x = 42

x = 14

Then the value of 'y' is calculated as,

y = 2 (14) + 2

y = 28 + 2

y = 30

The equations are x + y = 44 and y = 2x + 2. Then the value of the two numbers is 14 and 30.

More about the solution of the equation link is given below.

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Answer:

A. 1 inch

Step-by-step explanation:

10 feet = 120 inches.

Now figure out how many times 7 goes into 120, which is 17.

17x7in=119 inches. Therefore you have 1 inch left.

Let me know if you need me to explain in more detail, I kinda skimmed through it :)

Answer:

1/1, 1.0, 100%

Step-by-step explanation:

There are only seven days in a week, so no matter which day you start on, the next seven days will always include a Friday.

Answer:

It is 68.2, thats the answer

Step-by-step explanation:

If you want no rounded just the main number it is 68

Answer: The answer is 68.2 but without decimals, rounding, mixed fractions, it would be 68 as the final answer :)

* Hopefully this helps:) Mark me the brainliest:)

Answer:

pi/4

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

We know the radius is 1/4

SA = 4 * pi (1/4)^2

SA = 4 * pi (1/16)

     = pi/4

Answer:

3,500 no votes

Step-by-step explanation:

There were 7 yes votes to every 4 no votes.  There were a total of 6,125 yes votes, so set up a proportion to find the number of no votes

Let x represent the number of no votes

7 is to 4 as 6,125 is to x

We get

7/4 = 6,125/x

Now solve for x

First cross multiply

7x = 24,500

Divide both sides by 7 to isolate x..

x = 3,500 no votes

Answer:

The cost of the bracelet was [tex]\$6[/tex]

Step-by-step explanation:

Let

x------> amount of Carla's savings

y-----> the cost of bracelet

we know that

[tex]y=\frac{2}{5}x[/tex] -----> equation A

[tex]1-\frac{2}{5}=\frac{3}{5}[/tex]

so

[tex]9=\frac{3}{5}x[/tex] ----> solve for x

[tex]x=9*5/3=\$15[/tex]

substitute the value of x in the equation A and solve for y

[tex]y=\frac{2}{5}(15)=\$6[/tex]

Answer:   $6

Step-by-step explanation:

To find out how much Carla's bracelet cost, we can start by calculating how much of her savings she spent on the bracelet.

We know that Carla spent two-fifths of her savings on the bracelet, and she had $9 left over. This means that the amount she spent on the bracelet is equal to three-fifths of her savings, since she had $9 left over.

To find the value of three-fifths of Carla's savings, we can set up an equation:

$\frac{3}{5} \times \text{savings} = 9$

To solve this equation, we can multiply both sides by $\frac{5}{3}$ to isolate the variable:

$\text{savings} = \frac{9 \times 5}{3} = 15$

So Carla's total savings is $15.

Now we can find the cost of the bracelet by multiplying Carla's savings by the fraction she spent:

$\frac{2}{5} \times 15 = 6$

Therefore, Carla's bracelet cost $6.

Answer:

3/5 of a bag

Step-by-step explanation:

We have 3 bags of trail mix.  We are sharing between 5 friends

Take the amount of trail mix and divide by the number of people sharing

3bags/5 friends

3/5 of a bag

Answer:

x=7

Step-by-step explanation:

✯Hii✯

↪  expand the brackets

↪  then solve normally

↪  x will be 7

❤Kathy❤

For this case we have the following equation:

[tex]\frac {2} {5} * (3r + 4) = 10[/tex]

We must clear the variable "r":

We multiply by[tex]\frac {2} {5} * (3r + 4) = 10[/tex] \ frac {5} {2} on both sides of the equation:

[tex]\frac {2} {5} * \frac {5} {2} (3r + 4) = 10 * \frac {5} {2}\\3r + 4 = \frac {50} {2}\\3r + 4 = 25[/tex]

We subtract 4 on both sides of the equation:

[tex]3r + 4-4 = 25-4\\3r = 21[/tex]

We divide between 3 on both sides of the equation:

[tex]\frac {3r} {3} = \frac {21} {3}\\r = 7[/tex]

Answer:

[tex]r = 7[/tex]

The distance between the points (4,2) and (-8,7) is found by using the distance formula derived from the Pythagorean theorem. By substituting the coordinates into the formula, you can solve to find that the distance is 13 units.

The best way to find the distance between the points (4,2) and (-8,7) is to use the distance formula. The distance formula is derived from the Pythagorean theorem and is defined as follows:

 √[(x2-x1)² + (y2-y1)²]

Here, (x1, y1) and (x2, y2) are the coordinates of the two given points. For your points, x1=4, y1=2, x2=-8, y2=7.

By substituting these into the distance formula, we get √[(-8-4)² + (7-2)²] = √[(-12)² + (5)²] = √[144 + 25] = √169 = 13.

So, the correct answer is A. 13. Therefore, the distance between the points (4,2) and (-8,7) is 13 units.

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Answer:

Option A is incorrect.

Step-by-step explanation:

Length of the given parts is l and width is w meters.

It is given in the question that Sanjay needs 90 meters of fence to go around the rectangular park.

It means perimeter of the park is 90 meters.

Since perimeter of a rectangle = 2(length + width)

                                                  =  2(L + w)

It is given that length of garden is three times of width so l = 300

therefore, equation will be

Perimeter = 2[3w + w]

           90 =  2[3w + w]

Option A ⇒ w + 3w = 90   ⇒ incorrect

Option B ⇒ w + 3w + w + 3w = 90

                   2(w + 3w) = 90  ⇒ Correct option

Option C ⇒ 2w + 2 (3w) = 90

                  2 [w + 3w] = 90   ⇒ Correct option

Option D ⇒ 2(3w + w) = 90  ⇒ Correct option

therefore Option A is incorrect option.

Answer:

w+3w+w+3w=90

Step-by-step explanation:

correct

Answer:

Congruent

Step-by-step explanation:

If the faces weren't the same it'd be a rectangular prism :)

Answer: 38080 feet cubed

Step-by-step process:

60ft × 45 1/3ft = 2720ft squared

2720ft squared × 14ft = 38080 feet cubed

Answer:

C

Step-by-step explanation:

Adding the given sum

[tex]\frac{3}{4}[/tex] + [tex]\sqrt{64}[/tex]

= 0.75 + 8 = 8.75

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] where a and b are integers

8.75 = [tex]\frac{875}{100}[/tex] ← a rational number

Answer: OPTION C

Step-by-step explanation:

Descompose 64 into its prime numbers:

[tex]64=2*2*2*2*2*2=2^6[/tex]

Rewrite the expression as following, and simplify:

[tex]=\frac{3}{4}+\sqrt{2^6}\\\\=\frac{3}{4}+2^3\\\\=\frac{3}{4}+8\\\\\frac{3}{4}+\frac{8}{1}[/tex]

Find the least common denominator:

 [tex]4=2*2*1=2^2*1\\1=1\\LCD=2^2*1=4[/tex]

Now you can make the addition:

[tex]\frac{(3*1)+(8*4)}{4}=\frac{3+32}{4}=\frac{35}{4}=8.75[/tex]

As 8.75 can be written as a fraction, then it is rational.

Answer:

Step-by-step explanation:

The easiest way to do this is to multiply

64 * 16 = 1024

And take the square root of that number

√(1024) = 32

Another way to do this is

√64 * √16

= 8 * 4

= 32

Answer:

x³ - 7x² + 4x + 30

Step-by-step explanation:

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

x(x² - 2x - 6) - 5(x² - 2x - 6) ← distribute both parenthesis

= x³ - 2x² - 6x - 5x² + 10x + 30 ← collect like terms

= x³ - 7x² + 4x + 30

Step-by-step explanation:

Should be the third choice

Final answer:

The equation in standard form is -9x + 2y = -9.

Explanation:

To show the equation in standard form, we want to rearrange it so that the variables appear on one side and the constants on the other side. Let's start by distributing the 2 to both terms inside the parentheses:

10 - 2x + 2y = 3x + 1

Next, let's combine like terms by adding 2x and subtracting 10 from both sides:

-2x + 2y - 2x + 10 = 3x + 2x + 1 - 10

-4x + 2y + 10 = 5x + 1

Now, let's move the terms involving x to the left side and the constants to the right side:

-4x - 5x + 2y = 1 - 10

-9x + 2y = -9

Therefore, the equation in standard form is -9x + 2y = -9.

Answer:

Step-by-step explanation:

[tex]d(z_1,\ z_2)=|z_1-z_2|\\\\z=a+bi\to|z|=\sqrt{a^2+b^2}\\------------------\\\\\text{We have:}\\\\z_1=2-3i,\ z_2=9+21i\\\\\text{substitute:}\\\\|(2-3i)-(9+21i)|=|2-3i-9-21i|\\\\=|(2-9)+(-3i-21i)|=|-7-24i|\\\\=\sqrt{(-7)^2+(-24)^2}=\sqrt{49+576}=\sqrt{625}=25[/tex]

Answer:

25.

Step-by-step explanation:

For two complex numbers z=([tex]x_{1},y_{1}[/tex]) and w=([tex]x_{2},y_{2}[/tex]) we have that the distance between z and w is equal to

|z-w| =  [tex]\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}[/tex]

So, in this case we have that [tex](x_{1},y_{1})=(2,-3)[/tex] and  [tex](x_{2},y_{2})=(9,21)[/tex], then the distance

|z-w| =  [tex]\sqrt{(2-9)^{2}+(-3-21)^{2}}[/tex]

= [tex]\sqrt{(-7)^{2}+(-24)^{2}}[/tex]

=  [tex]\sqrt{49+576}[/tex]

=  [tex]\sqrt{625}[/tex]

= 25.

Answer:

30 m

Step-by-step explanation:

Answer:

2 m per second or it could also be 120 m per minute or you could also say 7200 m per hour all of the above are correct but it just depends on whether your teacher wants it to be converted into minutes seconds hours or days.

Step-by-step explanation:

The vertices of the image triangle ABC, after reflecting across the line (y = -1), are A' (4, 5), B' (1, 6), and C' (2, 3).

To find the image of the triangle ABC after a reflection across the line (y = -1), you can use the formula for the reflection of a point across a line.

The formula for the reflection of a point (x, y) across the line (y = mx + b) is given by:

[tex]\[\left(\frac{{x - m(y - b)}}{{1 + m^2}}, \frac{{y - m(x - a)}}{{1 + m^2}}\right)\][/tex]

In this case, the line of reflection is (y = -1), so (m = 0) and (b = -1). Therefore, the formula simplifies to:

[tex]\[\left(x, \frac{{y + 2}}{{1}}\right)\][/tex]

Now, apply this formula to each vertex of triangle ABC.

1. For point A(4, 3):

[tex]\[A' = \left(4, \frac{{3 + 2}}{{1}}\right) = (4, 5)\][/tex]

2. For point B(1, 4):

[tex]\[B' = \left(1, \frac{{4 + 2}}{{1}}\right) = (1, 6)\][/tex]

3. For point C(2, 1):

[tex]\[C' = \left(2, \frac{{1 + 2}}{{1}}\right) = (2, 3)\][/tex]

So, the vertices of the image triangle after the reflection across the line (y = -1) are A'(4, 5), B'(1, 6), and C'(2, 3).

Answer:

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

Answer: the probability of green would be 4/13 the probability of red would be 6/12

Step-by-step explanation:

The probability of green would be 4/13 the probability of red would be 6/12.

Probability 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.

Probability = Number of favorable outcomes / Number of samples

Given that a bag contains 6 red balls, 4 green balls, and 3 blue balls. If we choose a ball, then another ball without putting the first one back in the bag.

Total outcomes for green ball = 6 + 4 + 3 = 13

The probability of choosing a green ball is,

Probability = 4 / 13

The probability of choosing the red ball is,

Probability = 6 / 12

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Answer:

The inequality is [tex]c+2< 1[/tex]

Step-by-step explanation:

we know that

In the figure, the value of c is less than -1

so

[tex]c< -1[/tex]

Adds both side +2

[tex]c+2< -1+2[/tex]

[tex]c+2< 1[/tex]

Answer:

The inequality is c+2< 1

Step-by-step explanation:

Answer:

150 because 50 times 3 equals 150