R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)}
Select all numbers that are in the domain.
-3
-2
0 -1
0 0
01
2

We are proving that two triangles are congruent by an ASA (angle-side-angle).

In the process of proof we already have two congruent angle pairs and the missing bit is the included side.

In order to complete the proof we need to show that AE and CF are congruent segments.

We can show this as:

     Statement              Reason                                                                

Answer:

99.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

The best estimate for the volume of a coffee mug would be the volume of a cylinder. The volume of a cylinder is:

\(V=\pi r^2h\)

The volume can be thought of as the area of a circle, being scaled by the height. The area of the circular base of the mug, multiplied by the height of the mug.

Answer: w = 4

Step-by-step explanation

w=4 since 2(4) + 8 = 8+8=16.

you could also do 2w+8= 16

subtract 8 from both sides so you get

2w=8

then divide by 2

w=4

Answer:

19

Step-by-step explanation:

im jumping off a bridge

Answer:

the answer in 19

Step-by-step explanation:

use Ur brain

Answer:

explanation provided in the picture

Step-by-step explanation:

the answer is x= 55°

hopefully this helps ! :)

Answer:

9:30 PM (C) You're welcome

Step-by-step explanation:

(a) The outcomes for events "A or B" are 2, 4, 6, 3, 4, 5, 6. (b) The outcome for Events "4 and B" is just 4, and (c) The complement of event B is 1, 2, 7, and 8.

(a) Event "A or B" is the union of events A and B. This means the outcome is any marble that is either even numbered or has a number from 3 to 6. The outcomes in this event would be 2, 4, 6, 3, 4, 5, 6.

(b) Event "4 and B" is the intersection of events A and B. This means the outcome is only a marble that is both even-numbered and has a number from 3 to 6. The only outcome in this event would be 4.

(c) The complement of event B is all the outcomes that are not in event B. The outcomes in this event would be 1, 2, 7, and 8.

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--The given question is incorrect; the correct question is

"A marble is selected from a bag containing eight marbles numbered 1 to 8.

The number of marble selected will be recorded as the outcome.

Consider the following events.

Event A: The marble selected has an even number.

Event B: The marble selected has a number from 3 to 6.

Give the outcomes for each of the following events.

If there is more than one element in the set, separate them with commas.

(a) Event "A or B":

(b) Event "4 and B":

(c) The complement of the event B:"--

The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.

Let the cost price of rice is R and cost price of sugar is S.

Case 1 :  total cost of 5 kg rice and 6 kg sugar is Rs. 940.

5R + 6S = 940 ...(1)

Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.

The new cost price of rice = R + 20% of R = 1.2R

The new cost price of sugar = S - 10% of S = 0.9S

So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.

Thus,

4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)

From equations (1) and (2) we have,

(5R + 6S)/(4.8R + 2.7R) = 940/627

R/S = 8/9

Hence, if the price of rice is 8 then the price of sugar is 9.

It is clear that the price of sugar is more than that of rice.

The percent cost by which cost of rice is less than sugar is:

(9 - 8)/ 9 (100) = 11 1/9%.

Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

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Answer:

18

Step-by-step explanation:

x = 4

4x

= 4 * 4

= 16

y = 2

4x + y

= 16 + 2

= 18

The option that was not an impact of the crusades is B. End of the Roman Empire.

The Crusades were a series of religious wars fought between Christians and Muslims in the Middle East during the medieval period. The Crusades had a significant impact on European society and culture, including:

Monarchs grew more powerful: The Crusades helped to strengthen the power of monarchs in Europe, as they became more involved in financing and organizing the Crusades.

However, the Crusades did not bring about the end of the Roman Empire. The Roman Empire had already collapsed centuries earlier, in the 5th century AD, and the Crusades took place in the 11th-13th centuries AD, during the medieval period.

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The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

x=8 or the number equals 8

Step-by-step explanation:

7x+23=79

Subtract 23 from both sides: 7x=56

Now divide 7 from both sides to find the number: x=8

Answer: His answer is right i took the test and it right

8

Step-by-step explanation:

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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The statement that is true about the cost of haircuts is "On Average, the cost of a man's haircut is $16 less than the cost of a women's haircut".

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given that the mean cost of a haircut for a man is $28 and the mean cost of a haircut for a woman is $44. Therefore, the statement that is true about the cost of haircuts is "On Average, the cost of a man's haircut is $16 less than the cost of a women's haircut".

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Answer:

z = 99

Step-by-step explanation:

\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )

\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )

z = 99

Answer:

Here you go, hope this helps

Step-by-step explanation:

Exact form: 13/12

Decimal form: 1.083 repeating

Mixed Number form: 1 1/12

Answer:

Exact Form:

13

12

Decimal Form:

1.083

Mixed Number Form:

1    1

    12

The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.

To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:

a/5 = b/3

5/a = 3/b (multiplying both sides by 5/a)

5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)

5/a = 1

Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

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Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

Writing numbers correctly in accounting records is essential for accuracy, compliance and the prevention of human error.

It is important to write numbers correctly in accounting records in order to ensure accuracy when recording, tracking and analysing financial data. When numbers are written incorrectly, the accuracy of the data can be compromised, leading to incorrect calculations and financial analyses. Writing numbers correctly also helps to eliminate human error, which is important when dealing with finances. In addition, writing numbers correctly helps to ensure regulatory compliance, as incorrect numbers can lead to reporting errors that can result in penalties or other legal repercussions.Good accounting practices require that numbers be written in the correct numerical format. This means that numbers should be written in the standard format, using symbols such as commas and decimal points to indicate thousands and tenths. For example, if a total amount is $1,450.50, the correct way to write it would be 1,450.50. Writing it as 1450.50 or 1.450,50 would be incorrect. In conclusion, writing numbers correctly in accounting records is essential for accuracy, compliance and the prevention of human error. It is important to use the correct numerical format and symbols to ensure that numbers are written correctly in accounting records.

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Why is it important to correctly write the numbers in accounting records?

The mean is the quatient between the sum of all the data and the number of data, then:

To find the median we need to order the data:

67, 68, 71, 71, 72, 75, 77, 81, 84

Once we ordered the data the median is central value, in this case 72.

The mode is the value that repeats itself more, in this case 71.

The range is the substraction between the lowest and highest value, then:

Summing up:

Mean: 74

Median: 72

Mode: 71

Range: 17

Answer:

v<1 23/25

Step-by-step explanation:

The inequality simplifies to 48/25, which is equivalent to 1 23/25.

Answer: 4000

Step-by-step explanation:

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

Answer: Original price = $150   Amount Paid = $90

Step-by-step explanation:

First we make a proportion 60/x = 40/100. When we cross multiply and divided to get x by itself we get $150 dollars. This is the original price of the dress. Now we take $150-$60 and we get $90. This is what Victoria paid for the dress after the 40% discount.

Hope this helps! :)

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.