Is A ABC similar to 4 DEF? Why or why not?BE8956 ft9025°60°10 11CD24°751O A. We cannot tell because the third side is not givenO B. Yes, because the angles are congruent and the sides areproportional.C. No, because not all the angles are congruent.D. Yes, because the angles are close enough and the sides areproportional.

Answer:

1/6, 1/6, 630

Step-by-step explanation:

1/6*n-7≤98

1/6*n≤98+7

1/6*n≤105

n≤105*6

n≤630

Answer:

number 1

Step-by-step explanation:

Answer:

\(\frac{x+7}{3}\) (the second option)

Step-by-step explanation:

Hope this helps!

Answer:

y-y1=m(x-x1)

y-5=4(x + 5)

y-5=4x+20

5. 5

y = 4x + 25

Answer:

5.1 can be written as 51/10 (the quotient of the integers 51 and 10. So it is a rational number

Step-by-step explanation:

Recall that a rational number is a number that can be written as the quotient of two integer numbers.

In particular the number 5.1 can be written as 51/10 (the quotient of the integers 51 and 10. So it is a rational number.

Answer:

y = - 3/5x - 12

Step-by-step explanation:

3x+5y=8

5y = -3x +8

y = - 3/5 + 8/5

Slope = - 3/5

b = y - (m)*(x)

b = -9 - (- 3/5) (-5)

b = -9 - 3

b = -12

y = - 3/5x - 12

Answer:

$175

Step-by-step explanation:

$60÷3÷4 =5

$5 is the cost of one adult's food for one day.

$5×7×5

=$175

$175 is the cost of food consumed by 7 adults for 5 days.

Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

Answer:

Step-by-step explanation:

Given the cost of parking is $3 per hour to a maximum of $12, you want to identify the dependent and independent variables, a statement of the functional relationship, a graph, and the meaning of a point on the graph.

Usually, when time is involved, it is the independent variable. Or, you can look at the given rate ($3 per hour), and consider the quantity after the "per" to be the independent variable. Here, that is hours. The quantity ahead of the "per" is the dependent variable, dollar cost.

We can describe the functional relation by saying, ...

  "The cost of parking in dollars is a function of the amount of time a car is parked."

For the grid shown, it is convenient to label the horizontal axis "Hours", and the vertical axis "Cost (dollars)". In order to represent a cost of $12, we can choose to have each grid line in the vertical direction represent $3 of cost.

Each grid line in the horizontal direction can represent 1 hours without difficulty.

The graph can be plotted by considering the cost. 0 hours costs 0 dollars. 1 hour costs $3, up to 4 hours costs $12. After 4 hours, the cost remains at $12, a horizontal line to the right of (4, 12).

As discussed in part 3, the point (1, 3) means 1 hour of parking costs $3.

The function represented by the graph given is equivalent to -

g(x) = (x - 4)².

The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -

f(x, y) → f(x - 4, y)

So, we can write the function as -

g(x) = (x - 4)²

So, the function represented by the graph given is equivalent to -

g(x) = (x - 4)²

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Answer:

c. the spinner landing on orange or red

Step-by-step explanation:

So first you find how much is green

25 + 15 + 40 = 80

100 - 80 = 20

So the amount green is 20%

Then you choose the color that has the biggest percentage because it has a higher change of being chosen

25% is red

15% is blue

40% is orange

20% is green

orange and red is the biggest amount/ has the biggest percentage

c is your answer

Answer:24

Step-by-step explanation:

Answer:

Step-by-step explanation:

| x + 5 | = x + 5

x + 5 ≥ 0 ⇒ x ∈ [ - 5 , ∞ )

The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.

Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.

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1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².

The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.

The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.

Given that a volume of cylinder = h × r² × π

                         h = 12 in

                          r = 2 in

                       volume = ?

Volume of cylinder = h × r² ×π

                                 = =12 × 3.14×(2)²

                                       =37.68 × 4

                                       =150.796 in³

B). Surface area of cylinder= 2πr² + 2πrh

                                         =2× 3.14 × (2)²+2× 3.14× 2×12

                                          =175.929in²

The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.

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Answer:

m ∠DGA  =  78°

Step-by-step explanation:

∠CGB and ∠DGA are vertically opposite angles formed at the intersection of the two rays AB and CD

Such angles are equal to each other

Therefore
m ∠DGA  = m ∠CGB  = 78°

Answer:

\( \sf \large \: 4m+52\)

Step-by-step explanation:

4(m−2+15)

=(4)(m+−2+15)

=(4)(m)+(4)(−2)+(4)(15)

=4m−8+60

=4m+52

Answer:

4m+52

Step-by-step explanation:

Answer:

D. x ≤ 5

Step-by-step explanation:

The closed circle means greater than or equal to (≤) or less than or equal to (≥). The open circle is greater than (<) or less than (>).

And since the circle is closed and the arrow is going to the right, than x is either greater than 5 or equal to 5

Answer:

move up by 3

Step-by-step explanation:

Graphs are quite tricky. But because they give you what f(x) all you need to do is move everything up by 3

Answer:

43

Step-by-step explanation:

just trust me

Answer:

It increase by 3 each time

Step-by-step explanation:

add 3 to 2 to get 5. then add 6 to 4 to get 10, etc.

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9514 1404 393

Answer:

Step-by-step explanation:

The inverse cosine function of your calculator is used to find the angle from the cosine value. (Be sure your calculator is set to 'degrees' mode.)

1) A = arccos(0.9976) ≈ 4°

2) U = arccos(0.6691) ≈ 48°

Answer:

------------------

Simplify in below steps:

Answer:

P = 0.00000751

the probability that 3 randomly selected people all have the same birthday is 0.00000751

Step-by-step explanation:

the probability that 3 randomly selected people all have the same birthday P;

P = P1 × P2 × P3 ........1

For the first person, since there is no specified date, he can have any of the 365 days of the year as his birthday. the probability P1 is;

P1 = 365/365 = 1

For the second person, he must have the same birthday as the first. The probability P2 is;

P2 = 1/365

The third person must also have the same birthday as the other two. The probability P3 is;

P3 = 1/365

Substituting the values into equation 1;

P = 1 × 1/365 × 1/365

P = 0.0000075060987051

To eight decimal places;

P = 0.00000751

the probability that 3 randomly selected people all have the same birthday is 0.00000751

Answer:

1244 DCD

Step-by-step explanation:

If employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%. The amount that someone earning $21,000 a year pay towards social security out of their gross wages is: $882.

Social security can be defined as the way in which government tend to pay some group of people some certain amount of money. Example of the people that benefit from this program are people that does not earn income.

Using this formula to find the  social security out of their gross wages

Social security = Earning × Gross wages rate

Where:

Social security=?

Earning = $21,000

Gross wages rate =4.2%

Let plug in the formula

Social security = $21,000 × 4.2%

Social security = $882

Therefore the  social security  is $882.

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Answer:

$5990

Step-by-step explanation:

after saving up for 18 months she would have 12000 (10,200+1,800)