1. Triangle XYZ is translated by the rule (x + 3, y - 2) and then reflected over the x-axis
to create the triangle XY'Z'. Which statement is true?
A. AX'Y'Z' is a 90° clockwise rotation of AXYZ
B. AXYZ is similar to and congruent to AX'Y'Z'
C. AX'Y'Z' is a 180° clockwise rotation of AXYZ
D. AXYZ is similar to but not congruent to AX'Y'Z'

Add the measurements to the drawing. Angle JEF and angle JFE both measure x degrees, while angle JED measures 180 - x degrees.

To find the measure of the base angles JEF and JFE in a trapezoid, we need to consider the fact that the opposite angles of a trapezoid are supplementary, meaning they add up to 180 degrees.

Since the trapezoid has two pairs of opposite angles, we can apply this property to solve for the base angles. Let's assume angle JEF measures x degrees. Since angle JEF is opposite to angle JFE, the measure of angle JFE is also x degrees.

Now, let's consider the other pair of opposite angles. Since the sum of the measures of the opposite angles is 180 degrees, the measure of angle JEF plus the measure of angle JED equals 180 degrees. Since angle JEF measures x degrees, we can set up the equation: x + JED = 180.

The given question is half of part , the full answer for the question is below.

To find the measure of JED, we subtract x from both sides: JED = 180 - x. Finally, we can add the measurements to the drawing. Angle JEF and angle JFE both measure x degrees, while angle JED measures 180 - x degrees.

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Answer:

\(log16x = \frac{1}{4} \\ x = \frac{ {10}^{ \frac{1}{4} } }{16} \\ x = 0.111\)

a.)  Based on the scatter plot, the estimated average daily maximum temperature in Fort Frances in July is  around 25°C.

b) There are four communities with average daily maximum temperatures greater than 22°C. Their latitudes are approximately:

Toronto: 44°N

Windsor: 42°N

London: 43°N

Ottawa: 45°N

c.)

. Based on the scatter plot, there seems to be a relationship between  latitude and temperature .

As latitude increases, temperature generally decreases  because places closer to the equator receive more direct sunlight and therefore tend to be warmer, while places farther away receive less direct sunlight and tend to be cooler.

Latitude is described as a coordinate that specifies the north–south position of a point on the surface of the Earth or another celestial body.

there are some exceptions to this general trend that states that as latitude increases, temperature  decreases  because places closer to the equator receive more direct sunlight and therefore tend to be warmer, while places farther away receive less direct sunlight and tend to be cooler. which could be due to other factors such as elevation, proximity to water, or local weather patterns.

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Answer:

D) 16+4√2

Step-by-step explanation:

If the area of the triangle is 8, we use 1/2bh to find it.  Since b and h are the same on this triangle, we find that 8=1/2(4)(4)

Now we know that the two sides of the parallelogram and the top two sides of the triangle are all 4.  We just need to find the bottom of the parallelogram to know the perimeter.  It’s the same as the hypotenuse of the right triangle.

4²+4²=c²

16+16=c²

32=c²

c=√32  Now we have all 5 sides.

4+4+4+4+√32

16+√32

16+4√2

   y - 5 = -1 ( x + 3 )  is Equation of a Lin in slope intercept form,.

What is in slope-intercept form?

Slope between the points M(-3, 5) and N(2, 0).

       m = 0 - 5/2 + 3

       m = -5/5  = -1

the equation of   point-slope form

    y - y₁ = m ( x - x₁ )

   y - 5 = -1 ( x - ( -3 ))

   y - 5 = -1 ( x + 3 )

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Step-by-step explanation:

angle 1 = 50° [ Corresponding Angles]

angle 2 = 130° [ Linear pair]

angle 3 = 110° [ linear pair]

angle 4 = 70° [Corresponding Angles]

angle 5 = 60° [Angle sum property of triangle]

angle 6 = 120° [linear pair]

Answer:

152.4

Step-by-step explanation:

Answer:

a. 7 times

b. 74.7 km

Step-by-step explanation:

a. From Albany to Pittsburgh, there are 739.7 km.

She stopped to rest after every 95 kilometres:

Therefore, let us find how many times she stopped:

739.7 / 95 = 7.79

We only need the quotient, that is, 7

So she stopped 7 times.

b. After her last stop, she had traveled:

7 * 95 = 665 km

Therefore, the distance she has left after her last stop is:

739.7 - 665 = 74.7 km

Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:

   24 | 183
       -----
         7  6
         -----          
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

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The area of the wall that will be painted is 71 1/2 square feet

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

We want to find the area of the wall that will be painted.

We need to find the area of the two windows and subtract it from the area of the wall.

Each window is 3 1 /2 ft by 4 1/2 ft. The area of each window is therefore:

A = L * B

A = 7/2 * 9/2 =  = 63/4 square feet = 15 3/4 square feet

The two windows therefore have an area of:

2 * 63/4 = 63/2 = 31 1/2 square feet.

The wall measures 12 7/8 ft by 8 ft. Therefore, the area of the wall is:

A = 103/8 * 8 = 103 square feet

The area of the wall that will be painted is therefore:

A = 103 - 31 1/2 = 71 1/2 square feet

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Answer:

the answer is 1

Step-by-step explanation:

x2 equal to 1 by 28 and xby 2root7 equal to 1by 28 so are neglected

Answer:

The formula for the surface area of a sphere is:

Surface Area = 4πr^2

where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

In this case, we are given that the radius of the sphere is 13 inches. So we can plug in the value of r into the formula to find the surface area:

Surface Area = 4πr^2

Surface Area = 4π(13^2)

Surface Area = 4π(169)

Surface Area = 676π

Therefore, the surface area of the sphere is 676π square inches.

Step-by-step explanation:

Answer:

the answer is 32 to the 3rd power

Step-by-step explanation:

Answer:

looks delicious

Step-by-step explanation:

Answer:

Man looks so good!

Step-by-step explanation:

Send me some in the mail. lol ☺☻♥

A pattern that increases or decreases at a constant rate is a linear function

Question 1

From the table, we see that:

The rate of increment/decrement is constant for both variables.

Hence, question 1 represents a linear function

Question 2

From the table, we see that:

The rate of increment is not constant for variable y.

Hence, question 2 represents a nonlinear function

Question 2

From the table, we see that:

The rate of increment is not constant for variable y.

The complete table is:

\(\mathbf{Step\to Blocks}\)

\(\mathbf{1 \to 2}\)

\(\mathbf{2 \to 6}\)

\(\mathbf{3 \to 12}\)

\(\mathbf{4 \to 20}\)

Hence, question 3 represents a nonlinear function

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Answer:

I think answer C

Step-by-step explanation:

You can display how many toothbrushes were distributed each month on the dot plot :)

Have an amazing day!!

Please rate and mark brainliest!!

For the given arithmetic sequence we have:

We know that we have 20 seats on the front row, and then we add 3 more on each row, so the formula will be:

\(A_n = 20 + (n - 1)*3\)

This gives the number of seats on the n-th row.

B) The last row has 83 seats, then we need to solve:

\(A_n = 20 + (n - 1)*3 = 83\\\\(n - 1)*3 = 83 - 20 = 63\\\\n - 1 = 63/3 = 21\\\\n = 21 + 1 = 22\)

So we conclude that there are 22 rows.

C) The total number of seats will be:

\(\sum_{n = 1\ to\ 22} (20 + (n - 1)*3)\)

D) Instead of using the sum above (we should add 22 terms) we use the general formula for the sum of N terms in an arithmetic sequence:

\(S_N = (N/2)*(2A_1 + (N - 1)*d)\)

In this case, we replace N by 22, and d is the common difference of the sequence, which we know is equal to 3, so we wil have:

\(S_{22} = (22/2)*(2*20+ (22 - 1)*3) = 11*(40 + 21*3) = 1,133\)

There are 1,133 seats in total.

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The daily report performed by the night auditor includes key operating ratios used by management, such as the previous evening's banquets, the total number of rooms in the hotel, the room occupancy percentage, and the front office schedule.

a) The previous evening's banquets refer to the events or functions held at the hotel's banquet facilities during the night.

This information is important for management to assess the revenue generated from banquets and evaluate the success of such events.

b) The total number of rooms in the hotel indicates the capacity of the property.

It helps management understand the size of the hotel and make decisions regarding room rates, marketing strategies, and overall operational planning.

c) The room occupancy percentage is a crucial operating ratio that reflects the percentage of occupied rooms out of the total available rooms.

It provides insights into the hotel's demand and utilization. Management uses this ratio to monitor performance, make pricing decisions, and optimize room inventory.

d) The front office schedule refers to the staffing schedule for the front desk and other guest service areas. It outlines the shift timings, employee assignments, and responsibilities.

This information is essential for effective management of guest services, ensuring adequate staffing levels, and maintaining smooth operations at the front desk.

Overall, the daily report performed by the night auditor includes these key operating ratios to provide management with valuable data and insights for decision-making and performance evaluation in various aspects of hotel operations.

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Answer:

Step-by-step explanation:

(16-6)/(2-0) = 10/2 =5

Step-by-step explanation: The values for a, b, and c come from the

coefficients on our 3 terms in the trinomial.

The value for a comes from the coefficient

on the x² term which in this case is 2.

So we say that a = 2.

The value for b comes from the coefficient

on the x term which in this case is -6.

So we say that b = -6.

The value of c comes from the

constant term which in this case is -4.

So we say that c = -4.

Answer:

It's down below. :)

Step-by-step explanation:

Actual answer: 247 - 83 = 164

Estimation: 250 - 80 = 170

The expected value of perfect information (EVPI) is calculated as EVwPI minus maximum EMV. It quantifies the value of perfect information in decision-making.


The expected value of perfect information (EVPI) is a concept used in decision analysis. It represents the maximum amount of money an individual would pay to have perfect information about an uncertain event before making a decision.

To calculate EVPI, you start with the expected value with perfect information (EVwPI), which is the expected value when you have complete and accurate information about the uncertain event. Then, you subtract the maximum expected monetary value (EMV) from the EVwPI.

The EMV represents the expected monetary value of the decision without any additional information. By subtracting the maximum EMV from the EVwPI, you are essentially measuring the value of the additional information in terms of monetary gain.

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Answer: The area, in square feet, of the piece of wood is \(32 ft^{2}\).

Step-by-step explanation:

Give: Length = 8 feet

Width = \(\frac{1}{2} \times 8\) = 4 feet

As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.

\(Area = length \times width\)

Substitute the values into above formula as follows.

\(Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}\)

Thus, we can conclude that the area, in square feet, of the piece of wood is \(32 ft^{2}\).

Answer: In summary, all integers can be classified as either positive, negative, or zero.

Step-by-step explanation:

There are three types of integers: positive integers, negative integers, and zero.

Positive integers: Positive integers are numbers greater than zero, such as 1, 2, 3, 4, and so on.

Negative integers: Negative integers are numbers less than zero, such as -1, -2, -3, -4, and so on.

Zero: Zero is an integer that is neither positive nor negative. It is the only integer that is neither positive nor negative, and it is often referred to as the "origin" on a number line.

In summary, all integers can be classified as either positive, negative, or zero.

Answer: The three types of integers are Zero (Neutral Integers), Negative Integers, and Positive Integers.

Step-by-step explanation:

Negative Integers are the ones that has a value less than zero, examples of these are -7, -8, -9.

Positive integers, on the other hand. Are the ones that has a value more than zero, examples of these are 10, 11, 12, 13.

Note: The key difference between Negative Integers and Positive Integers is that a negative integer has a "-" sign, while a positive integer does not.

Zero are the neutral integers which means that it's the integer that's in the middle of the positive and negative integers, it has neither a positive sign or a negative sign.

Another note: Integers do not include fractions or decimals, only whole numbers.

Answer:

-95

Step-by-step explanation:

plug 9 in for x and solve. -(9)^2-14 = -95

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

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

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

Answer:

Center (5,-4) Radius = 1

Step-by-step explanation:

Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.

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

Hence, center (5, -4) and radius 1.

The equation of the parabola is given by\((y - 17)^2 = 16(x + 4)\), which has its focus at (-4, 21) and the directrix at x = 4/53.

We know that the standard equation for a parabola is given by: $y^2 = 4ax$. Here, a is the distance between the focus and vertex, and the directrix and vertex.

We can use the formula for the distance between a point and a line to find the value of a.Distance between point P(-4, 21) and directrix x = 4  \($\frac{4 - (-4)}\({\sqrt{1^2 + 0^2}} = \frac{8}{1} = 8$\)\)

Therefore, a = 4. Now we can use this value to find the equation of the parabola. The focus is at (-4, 21) which means the vertex is at (-4, 17).

Substituting these values into the standard equation for a parabola gives us:$(y - 17)^2 = 4(4)(x + 4)$Simplifying, we get\(:$(y - 17)^2 = 16(x + 4)$\)

Hence, the equation of the parabola is $(y - 17)^2 = 16(x + 4)$.

:Therefore, the equation of the parabola is given by\((y - 17)^2 = 16(x + 4)\), which has its focus at (-4, 21) and the directrix at x = 4/53.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5