150°
102°
84°
2x
Find x.

When Two parallel lines are crossed by a transversal

m∠1 = 124 °  , Relationship : Linear pair of angles

m∠2 = 56 °  , Relationship : Alternate interior angles

m∠3 = 56 °  , Relationship : vertical opposite angles

Given :

Two parallel lines are crossed by a transversal

In the diagram , it is given an angle that measures 56 degrees

m<1 and 56  are linear pair . Sum of linear pair of angles is equal to 180

\(m<1+56=180\\m<1=180-56\\m<1=124\)

∠2  and 56  are inside the parallel lines  and they are opposite

<2  and 56  are alternate interior angle . Alternate interior angle are equal

\(m<2=56\)

<3  and 56  are opposite to each other. They are vertical opposite angles .

Vertical opposite angles are equal .

\(m<3=56\)

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Answer:

450

Step-by-step explanation:

9×50=450

have a good day

Answer:

x = 10/243

Step-by-step explanation:

3^5x = 10

243x = 10

Divide 243 on both sides

10/243

Answer:15

Step-by-step explanation: 20 divided by 8=2.5 x 6=15

Answer:

\(m = -\frac{23}{42}\)

Step-by-step explanation:

here is the equation for slope (m):

\(m = \frac{y_2-y_1}{x_2-x_1}\)

where:

y₂ = y-coordinate of 2nd point = -10

y₁ = y-coordinate of 1st point = 36

x₂ = x-coordinate of 2nd point = 93

x₁ =  x-coordinate of 1st point = 9

plug values into equation:

\(m =\frac{-10-36}{93-9} \\\\m = \frac{-46}{84} \\\)

reduce the fraction:

\(m = -\frac{23}{42}\)

Answer:

2

Step-by-step explanation add 1+1

Answer:

commutative property of multiplication

Step-by-step explanation:

doesnt matter 2*1 or 1*2 you will get the same answer

Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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Answer:

Michael has 3 times more oranges than apples.

Step-by-step explanation:

Given that:

Number of apples = 06

Number of oranges = 18

Let,

x be the number of times.

Number of oranges = Number of times * Number of apples

18 = x * 6

18 = 6x

6x = 18

Dividing both sides by 6

\(\frac{6x}{6}=\frac{18}{6}\\x=3\)

Hence,

Michael has 3 times more oranges than apples.

Answer:(5-u)/v

Step-by-step explanation:

\(\frac{5-u}{v}\) <--- answer

We can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability.

What is probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

The theoretical probability of rolling a 5 on a fair die is 1/6, which means that if the die is rolled many times, we would expect to see a 5 about 1/6 of the time.

For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 25/100

experimental probability = 0.25

So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.

For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 30/200

experimental probability = 0.15

So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.

Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.

On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.

Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.

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We might say that Maya's experimental probabilities oscillate about the theoretical probability, but after more trials, the experimental probabilities ought to converge to the theoretical probability.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

A fair die has a theoretical probability of rolling a 5 of 1/6, therefore if the die is rolled several times, we can anticipate seeing a 5 roughly 1/6 of the time.

For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 25/100

experimental probability = 0.25

So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.

For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 30/200

experimental probability = 0.15

So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.

Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.

On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.

Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.

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Answer:

option D. DE = 11

Step-by-step explanation:

The line DF is equivalent in length to the blue line,

(x + 7) + 7 = 4x + 2

Solve:

x + 14 = 4x + 2

subtract 14 from both sided to get x alone,

x + 14 - 14 = 4x + 2 - 14

x = 4x - 12

subtract 4x from both sided,

x - 4x = 4x - 4x - 12

-3x = -12

divided both sides by -3,

-3x / 3 = -12 / -3

x = 4

Plug in x into DE equation:

x + 7: (4) + 7 = 11

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Answer:

You erned about $6,552

Step-by-step explanation:

Answer: 36/121

Step-by-step explanation:

There are 6 red marbles out of total 11.

The probability of drswing two red marbles is 6/11 x 6x11 = 36/121

Probability is simply how likely something is to happen.

Probability of getting 2 red marble is  \(\frac{36}{121}\)

Number of blue marble = 5

Number of red marbles = 6

Total number of marbles = 5 + 6 = 11

Since, probability is calculated by  dividing the favorable number of outcomes by the total number of possible outcomes.

Probability of getting one red marble = \(\frac{6}{11}\)

Since, A marble is taken at random from the bag, the colour is noted and then it is replaced.

Therefore, probability of getting 2 reds marble  = \(\frac{6}{11}*\frac{6}{11}=\frac{36}{121}\)

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The three methods are used to select a sample from a larger population in order to make inferences about the population as a whole.

Probability-proportional-to-size sampling is a method where the probability of an item being selected is proportional to its size. In this case, the size is represented by the dollar amount of the sale.

Systematic selection involves selecting items at regular intervals. In this case, the starting point is 13 and the interval is 30. Every 30th item is selected, starting from the 13th item.

The starting dollar is $17,240 and the interval is $220,000. Every item with a sales amount that falls within the interval is selected with a probability proportional to its size.

The random-number table selection technique involves using a random number table to select items. The last four digits of the invoice number are used to determine which item is selected.

The selection process starts at row (0004) and column (01) and continues across the row and then down to the next row.

The probability of an item being selected in each method differs and is important in ensuring a representative sample is obtained.

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Answer:

The cost of the game is $7 .

Step-by-step explanation:

By looking at the graph, the line at x = 4 is equals to y = 7

The values of a and b if they are integers are -10 and 3

Surd functions are square root of prime numbers. Given the following equation;

10 - √18 = a +b√2

Equate the real and surd part to form the equation

b√2 = √18

2b² = 18

b² = 9

b = 3

Similarly

a = -10

Hence the values of a and b if they are integers are -10 and 3

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Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

The circumference C of a circle with diameter d is given by:

Therefore, the circumference divided by π gives the diameter.

Hence the correct choice is:

Diameter

C

Answer:

C. Diameter

Notes:

I'm probably not going to get Brainliest, but could you please just think about it? Maybe? It's okay if you don't.

Answer:

both have four sides and equal measures with the opposite side. Parallelograms are slanted while the rectangles are straight.

Answer:

Amadi: 20 years old

Chima : 4 years old

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Answer:

I think it would have to be 17 and if it's not it's -17 and if it's not that give up on math this is not going to help in the real world sorry have a good day

Answer:

n = p-k-m

Step-by-step explanation:

You would just say, like k and m and 1 and 2. But instead of adding them you just bring the to the other side like

p = n+1+2

-1         -1

p-1 = n+2

-2        -2

p-1-2 = n

p-k-m-n

Answer:

44% of 52

44/100 ×52

22.88

Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.

Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.

La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Gather 'like' terms ....group the   5x   -12x     and the 212x together on one side of the equation