Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?
P
50⁰
5 R
A. SAS theorem
50°
B. Similarity cannot be determined.
OC. AA postulate
D. SSS theorem
15
Zo

The final answer rounded to 5 decimal places is:`x = 0.57735`

A) Given trigonometric expression is;`sin (π/6) + cos (π/6)`

Using the trigonometric values of π/6 from the trigonometric table, we have:

sin π/6 = 1/2cos π/6 = √3/2.Substituting the trigonometric values into the given expression, we have:

sin π/6 + cos π/6= 1/2 + √3/2= (1 + √3)/2

Therefore, the value of `sin (π/6) + cos (π/6)` is `(1 + √3)/2`.

B) Now, coming to the next part, we need to find the side labeled x.

The value of the tangent of an angle is equal to the ratio of the opposite side and the adjacent side. Thus, we can write:tan θ = Opposite side/Adjacent side

We have the values of the angle and the adjacent side, using that, we can find the opposite side as follows:`

tan 30° = Opposite side/1`Opposite side = `tan 30°`Opposite side = `(1/√3)`

Therefore, the side labeled x is `(1/√3)`.

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Answer:

x>−4

Step-by-step explanation:

i hope this helps you

Answer:

i think is 6 99 hope this helps you

Answer:

Dude, this is basic math. Imma let you figure it out.

Step-by-step explanation:

10*8=x x-28=answer not that hard bub

On average, it takes approximately 14 minutes for a plane to complete the entire arriving process, from radioing the control tower to landing on the runway, in the morning at Nogan Airport.

To determine the average time that elapses between a plane radioing the control tower and its completion of the entire arriving process in the morning, we need to consider the different steps involved in the process.

Radioing the control tower: The time between two consecutive arriving requests follows an exponential distribution with an average of 10 minutes. Hence, on average, it takes 10 minutes for a plane to radio the control tower after the previous plane.

Assigning position in queue: The air traffic controller assigns the plane a position in the queue on a first-come-first-serve basis, implying that there is no additional delay for this step.

Landing on the runway: Once the plane reaches the front of the queue, it lands on the runway. The time it takes for a plane to use a runway, either for landing or departing, follows an exponentially distributed process.

Since the runway dedicated to arrival can serve 15 flights per hour, the average time it takes for a plane to complete the landing process is 1/15 hour, or 4 minutes.

Considering these steps, the average time that elapses between a plane radioing the control tower and completing the entire arriving process in the morning can be calculated as follows:

Average time = Time to radio the control tower + Time to land on the runway

= 10 minutes + 4 minutes

= 14 minutes

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Answer:

1.

a. 4 less than 3 times a number

2.

d. 2 more than the opposite of 2 times a number

3.

d. n+2

4.

a. 6x + 2=14

Step-by-step explanation:

TRUE A natural number is another name for the counting number.

Natural numbers are those in mathematics that are utilized for counting and ordering.

Cardinal numbers are those used for counting, and ordinal numbers are those used for ordering.

The term "counting numbers" refers to all natural numbers. These are always positive whole numbers, such as 1, 2, 3, 4, 5, and 6.

Mathematical number systems depend heavily on the infinite counting numbers, which can be counted.

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answer:

4 is correct!

explanation:

hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Answer:

16$?

Step-by-step explanation:

8*2 = 16

If not pls specify question

Answer:

73.5m

Step-by-step explanation:

4m fence casted a 7m high shadow 7/4 = 1.75, 42 x 1.75 = 73.5

To determine the percentage of Sara's students who answered at least half of the quiz questions incorrectly, we need more information than the relative cumulative frequency of students who earned a score of 21 or higher.

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Answer:

11

Step-by-step explanation:

answer is just is 11

Answer:

Step-by-step explanation:

the way it is written, the answer is

5x^2 - 6x + 2 + 19x - 7

5x^2 + 13x - 5    is the answer.

However I suspect you mean

5x^2 - 6x + 2 + 9x^2 + 10x - 7

14x^2 + 3x - 5    is the answer if the revision I've made is correct.

 The total debt of the government at the end of year three is $7.2 billion.

Starting with a total debt of $5.5 billion, the government's deficits of $600 million in year one and $1.5 billion in year two contribute to an increase in the debt. However, in year three, the government runs a surplus of $400 million, which helps reduce the debt.

Thus, the total debt at the end of year three is calculated by adding the initial debt and deficits, and subtracting the surplus. In this case, the total debt at the end of year three is $7.2 billion.

Assuming the government runs a deficit of $200 million in year three, the calculation changes. With the initial debt of $5.5 billion, the deficits of $600 million in year one and $1.5 billion in year two, and the additional deficit of $200 million in year three, the total debt at the end of year three would be $7.8 billion. This demonstrates how the deficit amounts impact the overall debt accumulation.

If a government runs a budget deficit of $5 billion each year for ten years, resulting in a total deficit of $50 billion, followed by a surplus of $2 billion per year for five years, reducing the debt by $10 billion, and then maintaining a balanced budget for another ten years, the government debt would amount to $40 billion. The deficits over the initial ten years lead to a significant accumulation of debt, but the subsequent surpluses help mitigate the debt by reducing the deficit. Finally, the balanced budget in the later years ensures that there is no further increase in debt. Understanding the interplay between deficits, surpluses, and a balanced budget is crucial to grasp the long-term implications on government debt and fiscal stability.

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Answer:

-5

Step-by-step explanation:

the answer, please give brainliest if u can

Answer: 9m^2 - 4n + 12

Step-by-step explanation:

To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, we need to find the largest common factor of all the terms.

Let's examine each term individually:

9m^2: The only common factor between 9 and m^2 is 1.

-4n: The only common factor between -4 and n is 1.

12: The factors of 12 are 1, 2, 3, 4, 6, and 12. However, there is no common factor between 12 and the other terms.

Since there is no common factor other than 1, we cannot factor out anything more significant than 1. Therefore, the factored form of the expression 9m^2 - 4n + 12 is simply the original expression itself:

To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, let's first identify the GCF of the coefficients. In this case, the GCF of 9, -4, and 12 is 1 since there is no common factor greater than 1.

Next, we'll factor out the GCF from each term:

9m^2 = (9)(m^2)

-4n = (-4)(n)

12 = (12)(1)

Now we can rewrite the expression factoring out the GCF:

9m^2 - 4n + 12 = (1)(9m^2) + (1)(-4n) + (1)(12)

Simplifying this, we get:

9m^2 - 4n + 12 = 9m^2 - 4n + 12

Since there is no common factor other than 1, the expression cannot be further factored.

Answer:

a is 10

Step-by-step explanation:

parallel lines have the same slope, but a different y intercept

you would substitute the ordered pair in for x and y

y=-2x+10

Hope this helps :-)

Answer:

30.5 ft squared

Step-by-step explanation:

First, find the area and shape. If it is a square then you want to divide by four since all sides are equal. So divide 122 by 4 and you get the answer.

Answer:

b

Step-by-step explanation:

Answer: (6,12)

Steps: The midpoint of (7, 15) and (5,9) is (6,12)

Plz mark brainliest:)

Answer:

(-2, 1)

Step-by-step explanation:

There are 4 fast-food businesses in this small city that have only a drive-up window.

To determine the number of fast-food businesses that have only a drive-up window, we need to subtract the businesses that have a drive-up window and other services from the total number of businesses with a drive-up window.

According to the given information:

Total number of fast-food businesses = 22

Number of businesses with delivery service (D) = 7

Number of businesses with outside seating (O) = 13

Number of businesses with a drive-up window (W) = 13

Number of businesses with both a drive-up window and outside seating (W ∩ O) = 9

Number of businesses with both outside seating and delivery service (O ∩ D) = 3

Number of businesses with both delivery service and a drive-up window (D ∩ W) = 3

Number of businesses with all three services (D ∩ O ∩ W) = 2

To find the number of businesses with only a drive-up window:

Number of businesses with only a drive-up window = Number of businesses with a drive-up window (W) - Number of businesses with both outside seating and a drive-up window (W ∩ O)

Number of businesses with only a drive-up window = 13 - 9 = 4

Therefore, there are 4 fast-food businesses in this small city that have only a drive-up window.

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Answer:

x^2 = 9x

x^2 - 9x = 0

x(x-9) = 0

x=0 or x=9

Step-by-step explanation:

The number is 9.

Translate the statement into an equation, then solve for the unknown number.

Let the unknown number be represented as x.

Thus:

square of the number can be translated as [tex]x^{2}[/tex]

[tex]9 \times $ the $ number = 9x[/tex]

Therefore:

[tex]x^{2} = 9x[/tex]

Solve for x

[tex]x^{2} - 9x = 0[/tex]

Factorize

[tex]x(x - 9) = 0\\x = 0 $ or \\x - 9 = 0\\x = 9[/tex]

The unknown number cannot be 0, therefore, the number is 9.

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Answer:

nobody cares

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Answer:

A is the correct answer

The area under the normal curve up to z = 0.36 is P(Z ≤ 0.36) and is equal to 0.64. To find the value of P(Z ≤ 0.36), the standard normal distribution table is used. We can find the value by looking up the closest z-value on the standard normal distribution table.

The value of 0.36 is not exactly found in the table, however, the closest value to it is 0.35. Using the standard normal distribution table, the area to the left of z = 0.35 is 0.6368. Since we need to find P(Z ≤ 0.36), this area needs to be added to the area from 0.36 to 0.35, which is 0.0032. Adding the two values will give us the answer: 0.6368 + 0.0032 = 0.64.Therefore, the area under the normal curve up to z = 0.36 is P(Z ≤ 0.36) and is equal to 0.64. In order to find the area under the normal curve up to z = 0.36, we need to find the value of P(Z ≤ 0.36), which is the probability of a standard normal variable taking a value less than or equal to 0.36. To find this probability, we use the standard normal distribution table, which provides the area to the left of a given z-value.The standard normal distribution table is usually presented in the form of a table that gives the area to the left of a given z-value. For example, if we want to find the area to the left of z = 1.96, we look up the value 1.9 in the first column and the value 0.06 in the second column. We then add these two values to get the area to the left of z = 1.96, which is 0.9750. Similarly, we can find the area to the left of any other z-value by using the standard normal distribution table.To find the area under the normal curve up to z = 0.36, we first need to find the closest value to 0.36 in the standard normal distribution table. In this case, the closest value is 0.35. We then look up the area to the left of z = 0.35 in the standard normal distribution table, which is 0.6368. Since we need to find the area to the left of z = 0.36, we need to add the area from 0.35 to 0.36, which is 0.0032. Adding these two values gives us the area under the normal curve up to z = 0.36, which is 0.6368 + 0.0032 = 0.64.

The area under the normal curve up to z = 0.36 is P(Z ≤ 0.36) and is equal to 0.64. This means that the probability of a standard normal variable taking a value less than or equal to 0.36 is 0.64. To find this probability, we used the standard normal distribution table, which provides the area to the left of a given z-value. We found the area to the left of z = 0.35, which is the closest value to 0.36 in the standard normal distribution table. We then added the area from 0.35 to 0.36 to get the area under the normal curve up to z = 0.36, which is 0.64.

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The probability of an event is less than 0.05, it is classified as an unusual event. In this case, the events in parts (a) and (b) are less likely to occur than the other events.

The probability that a randomly selected study participant's response was less than 4 is 0.3563.

The probability that a randomly selected study participant's response was between 4 and 6 is 0.3968.  

The probability that a randomly selected study participant's response was more than 8 is 0.0412.

Unusual events are not considered standard events. They are classified as unusual if they occur infrequently. The probability of an event is a number between 0 and 1. If an event has a low probability of occurring, it is considered unusual.

Based on the given probabilities, the answer is (C) The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. The events are deemed unusual since they have a low probability of occurring. They are less likely to occur.

Therefore, the probability of the event in part (a) is less than 0.05. The probability of the event in part (b) is less than 0.05.

In conclusion, when the probability of an event is less than 0.05, it is classified as an unusual event. In this case, the events in parts (a) and (b) are less likely to occur than the other events.

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Answer:

C. 3a + 6

Step-by-step explanation:

The expression that describes the verbal expression is 3a + 6.

Now let us approach this step wisely;

  Triple quantity a = 3a

Increased by 6 =  + 6 , an increment is addition to a term.

So, the full algebraic expression is 3a + 6

The solution is 3a + 6. Word problems like this should be approached step wisely.