5. Three lines are drawn so that they all intersect at a common point. In the figure below, m41
=
x°, mL2 = 2x°, and m43 = 75°.
Which equations can be used to determine the value of x?
Select all that apply.
A. 3x° = 75°
B. 3x° =
105°
C. 3x° = 255°
D. 3x° + 75° = 180°
E. x° + 2x° + 75° =
180°
F. x° + 2x° + 3x° = 360°

18π

Step-by-step explanation:

so first you need to find the area of both semi- circles. To do this you will use the formula 1/2πr^2 since it is half the area of a circle.

So for the smaller semi circle you do 1/2×π×8^2 to get 32πcm^2.

Now for the large semicircle you do 1/2×π×10^2 to get 50πcm^3.

Now you take 50π from 32π to get just the area of the shaded region.

This is 18π or 56.55cm^2

Answer: 110 degrees

Step-by-step explanation:

Answer:

15 cm (to the nearest cm)

Step-by-step explanation:

Circumference of a circle = πd   (where d is the diameter)

Large disc

⇒ circumference = 3.14 × 27.3 = 85.722 cm

Small disc

⇒ circumference = 3.14 × 22.5 = 70.65 cm

Difference between circumferences

= circumference of large disc - circumference of small disc

= 85.722 - 70.65

= 15.072

= 15 cm (to the nearest centimeter)

Answer: 3<x

Step-by-step explanation: anything under 3, use a ray (infinite) pointing to the left with a open circle

Answer:

X = 100

Step-by-step explanation:

Answer:

E. not enough info given

Step-by-step explanation:

If you were talking about the median, it is 50%

Answer:

58.5

Step-by-step explanation:

Answer:

⁴root(9m²n/3n)

Step-by-step explanation:

just simplify the like terms

The set of data for which the mean is most likely greater than the median is the data given by first histogram.

A skewed distribution is a distribution having bias on one of the two sides (either left or right).

It is like leaning mountain on one side (left or right).

A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.

This graph usually has mean < median < mode

A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph. This graph usually has:

Mode < median < mean.

For this case, we can try to find the histogram which is right skewed because for right skewed graphs, the mean of the data is greater than the median.

For being right skewed, the histogram needs to be elongated on the right. The elongation on right means the perpendicular axis of the graph (the frequency) has lower and lower values in the right end of the graph.

So, the histogram, which has all values having approx lower frequencies on the right side than any other part of the histogram, has got its mean > median.

We're given these histograms:

    Age                Frequency

0 - 1 years                   1

2 - 3 years                   4

4 - 5 years                   2

6 - 7 years                   0

8 - 9 years                   1

    Age                Frequency

0 - 1 years                   0

2 - 3 years                   3

4 - 5 years                   4

6 - 7 years                   3

8 - 9 years                   0

    Age                Frequency

0 - 1 years                   0

2 - 3 years                   1

4 - 5 years                   2

6 - 7 years                   4

8 - 9 years                   1

    Age                Frequency

0 - 1 years                   2

2 - 3 years                   1

4 - 5 years                   4

6 - 7 years                   1

8 - 9 years                   2

The second and fourth histograms are symmetric, because of symmetric values on its either side of the mid value for 4-5 years old dogs' frequencies. Thus, they're not skewed.

The third histogram is negatively skewed because of high values on right side (the last values in the table belongs to bigger ages, and on the axis for age of dogs, by sign convention, the bigger ages will be on right to the smaller age values) than the smaller values, and smaller values are forming tail on left side. Thus, its negatively skewed distribution.

The first histogram has positively skewed distribution, since at the end, it has very small values and there is mountain like structure on the left side.

Thus, for this histogram, the median  < mean is most likely to be happening. (we still use the word 'likely' since the data is not large enough to apply these approximations of mean and median and mode, as it works better for large data sets).

Thus, the set of data for which the mean is most likely greater than the median is the data given by first histogram.

The graph of the first histogram is attached below.

Learn more about skewed distribution here:

https://brainly.com/question/13111221

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Answer:

A. The first graph

Step-by-step explanation:

Got it right on an edge test

Have a nice day :)

Answer:

Mikhail is 5 years old

Step-by-step explanation:

Represent each member with a variable.

X= Gabrille

Y=Mikhail

X+Y=20 (sum of their ages is 20)

X=3y (Gabrille is 3 times Mikhails age)

Substitute 3Y into the first equation (simultaneous equation)

. 3y+y=20

. 4y=20 (divide both sides by 4)

y=5

To check your answer.

X+5=20

X=20-5

X=15

15 is 5 times 3.

Using proportions, considering the ratios, it is found that Danil receives 65.33 euros.

A proportion is a fraction of a total amount.

Danil, gabriel and hadley share some money in the ratios 3:5:9. Hence, the fraction of the total amount that Danil and Hadley receive are given by:

[tex]D = \frac{3}{17}n[/tex]

[tex]H = \frac{9}{17}n[/tex]

The amount of money that hadley receives is 196 euros, hence the total amount is found as follows.

[tex]196 = \frac{9}{17}n[/tex]

[tex]n = \frac{196 \times 17}{9}[/tex]

n = 370.22.

Hence, the amount received by Danil is given by:

[tex]D = \frac{3}{17}n = \frac{3}{17} \times 370.22 = 65.33[/tex]

More can be learned about proportions at https://brainly.com/question/24372153

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Answer:

irrational because the square root of 51 is irrational.

Answer: A

Step-by-step explanation:

The answer to this system of equations is (0,4)

Using the normal distribution, it is found that approximately 40% of the scores are greater than 413.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that the mean and the standard deviation of the scores are given by:

[tex]\mu = 400, \sigma = 50[/tex]

Approximately 40% of the scores are greater than the 60th percentile, which is X when Z = 0.253.

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.253 = \frac{X - 400}{50}[/tex]

X - 400 = 50(0.253)

X = 412.65.

Rounding up, approximately 40% of the scores are greater than 413.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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Answer:

413

Step-by-step explanation:

I took the test k12

Answer:

D

Step-by-step explanation:

Answer:

martha can go 300 miles with her 130 dollars

Step-by-step explanation:

300 miles $130 brain liest me please need id

The number of the smaller cube-shaped boxes that Manuel can fit into the large cube-shaped box is: 64.

Volume of a cube = a³, where a is the edge length of the cube.

Volume of the smaller cube-shaped boxes = a³ = 6³ = 216 in.³

Volume of the larger cube-shaped box = a³ = 24³ = 13,824 in.³

Number of the smaller boxes that will fit into the large box = 13,824/216 = 64 smaller cube-shaped boxes.

Learn more about volume of a cube on:

https://brainly.com/question/1972490

Answer:

(- 1, 7 )

Step-by-step explanation:

a translation left of 1 unit means to subtract 1 from the x- coordinate.

a translation down of 2 units means to subtract 2 from the y- coordinate.

(0, 9 ) → (0 - 1, 9 - 2 ) → (- 1, 7 )

Answer:

85 ft^2

Step-by-step explanation:

Base = 5 x 5 = 25 ft^2

FOUR triangles   4  *   1/2 * b * h  = 4 * 1/2 * 5 * 6 = 60 ft^2

added together = 85 ft^2

Answer:

Circumference = 10[tex]\pi[/tex] or 31.4

Area = 25[tex]\pi[/tex] or 78.5

Step-by-step explanation:

Circumference formula is [tex]2\pi r[/tex]

Plug in the radius of 5 for the equation:

[tex]2\pi 5[/tex] or [tex]10\pi[/tex]

Area formula is [tex]\pi r^{2}[/tex]

Plug in the radius of 5 for the equation:

[tex]\pi 5^{2}[/tex] or [tex]25\pi[/tex]

The equation of the line of best fit of Hannah's dataset represented by the graph is y = 1.25x  - 1

From the given figure, we have the following points on the line of best fit:

(x,y) = (2,1.5) and (4,4)

Start by calculating the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{4 -1.5}{4 - 2}[/tex]

Evaluate the differences

[tex]m = \frac{2.5}{2}[/tex]

Divide

m = 1.25

The equation is then calculated using:

y = m(x - x₁) + y₁

So, we have:

y = 1.25(x - 2) + 1.5

Open the bracket

y = 1.25x - 2.5 + 1.5

Evaluate

y = 1.25x  - 1

Hence, the equation of the line of best fit is y = 1.25x  - 1

Read more about linear regression at:

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_____________________________________

AnswerS :

1. Tan Z = p / b = 21/28

2. Cos C = b / h = 16 / 34 = 8/17

3. Sin C = p/ h = 28/35

4. Tan X = p / b = 32/24 = 16 / 12

5. cos A = b / h = 30/34 = 15 / 17

6. Sin A = p / h = 32/40 = 16/20

7. sin Z = p / h = 24 / 40 = 12 / 20

8. sin C = p / h = 14 / 50 = 7 / 25

RemembeR :

- HappY LearninG (≧▽≦)

__________________________________

SOHCAHTOA is an acronym for the formula

Sin= Opposite/hypothenuse

cos= adjusent/ hypothenuse

tan=opposite/adjusent

After u found the ratio u use inverse- put it in ur calculator then u get the answer

i answered one question- so u see how to solve

Answer:

Step-by-step explanation:

divide the figure into 2 rectangle the one on top and bottom. Th one on top's dimensions would be length = 9 width = 3.

the bottom rectangles dimensions would be length = 5 (because 9-4) and width would be 3 (because 6-3)

so top rectangle : 9*3 = 27

bottom rectangle: 5*3 = 15

27+15 = 42

Answer:

[tex]A_{total} = 42\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the left rectangle

[tex]A = l * w[/tex]

[tex]A = 6\ cm * (9\ cm - 4\ cm)[/tex]

[tex]A = 6\ cm * 5\ cm[/tex]

[tex]A = 30\ cm^2[/tex]

Step 2:  Determine the area of the right rectangle

[tex]A = l * w[/tex]

[tex]A = 4\ cm * 3\ cm[/tex]

[tex]A = 12\ cm^2[/tex]

Step 3:  Determine the total area

[tex]A_{total} = 30\ cm^2 + 12\ cm^2[/tex]

[tex]A_{total} = 42\ cm^2[/tex]

Answer: [tex]A_{total} = 42\ cm^2[/tex]

Answer:

29

Step-by-step explanation:

What we do here is that we plug in 2 here like a puzzle.

f(2-5) = f(-3)

So, when we plug in 2 to the function, we get a f(-3)

Nowe take f(-3)

= 3(-3)²-4(-3)-10

= 3(9)+12-10

= 27+12-10

= 29

Answer:

$233.33

Step-by-step explanation:

I will use the is/of method

[tex]\frac{300}{400}[/tex]=[tex]\frac{175}{?}[/tex]

175*400=70,000

70,000/300=233.33

Answer:

Step-by-step explanation:

Answer:

Your answer is  x=-13/3

Step-by-step explanation:

RS and QT are equal knowing this your equation would be x=4x+13. you get -3x=13 when 4x get cancelled out, divide both side by 3 and you get -13/3

Answer:

y=36,x=108,z=30

Step-by-step explanation:

1)180°=72°+(3y)°

=>(3y)°=180°-72°

=>(3y)°=108°

=>3y=108

=>y=36

2)(x)°=(3y)°=>x=108

3)(3z+18)°=108°=>3z+18=108=>3z=90=>z=30

Answer:

x = 108

y = 36

z = 30

Step-by-step explanation:

(x)° + 72° = 180° (interior angles on the same side of transversal)

-> (x)° = 180 - 72°

-> (x)° = 108°

-> x = 108

(3y)° = (x)° (corresponding angles)

-> 3y = x

-> 3y = 108

-> y = 108/3

-> y = 36

(3z + 18)° = (x)° (corresponding angles)

-> 3z + 18 = x

-> 3z + 18 = 108 - 18

-> 3z = 108 - 18

-> 3z = 90

-> z = 90/3

-> z = 30

Answer:

We know,

[tex]\:\sf{Volume\:of\:sphere\:=\:\frac{4}{3}πr³}[/tex]

Here,

[tex]\:\mathsf{radius\:=\:5mm}[/tex]

Now,

Volume of sphere = [tex]\:\mathsf{\frac{4}{3}\:πr³}[/tex]

=> [tex]\:\mathsf{\frac{4}{3}\:×\frac{22}{7}\:×(5)³}[/tex]

We got,

Therefore you can say that option B. 524 mm³ is the correct answer for this question.

Hope this helps!

Answer:

Step-by-step explanation:

Volume of the sphere

Here, the radius (r) is 5 mm.

Solving