1. Are the two triangles shown below congruent? Use tracing paper to justify your answer.

Answer:

Sale Price: $40

Step-by-step explanation:

This means the cost of the item to you is $40. You will pay $40 for a item with original price of $50 when discounted 20%. In this example, if you buy an item at $50 with 20% discount, you will pay 50 - 10 = 40 dollars.

The sale price of an item on sale with 20% off will be $40.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A thing marked down costs 20% of the first cost. In the event that the first cost was $50.

Let 'x' be the sale price. Then we have

20% = [(50 - x) / 50] x 100

Simplify the equation, then we have

20% = [(50 - x) / 50] x 100

0.20 = (50 - x) / 50

10 = 50 - x

x = 50 - 10

x = $40

The deal cost of a thing marked down with 20% off will be $40.

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23=d+q, d=23-q

350=10d+25q, using d from above

350=10(23-q)+25q

350=230-10q+25q

120=15q

q=120/15

q=8, and since d=23-q

d=23-8=15

So there are 15 dimes and 8 quarters

Answer:

Step-by-step explanation:

First Choice

Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

The volume of the prism will be 88 cubic units. Then the correct option is B.

Given that:

Length, L = 4 units

Width, W = 4 units

Height, H = 5.5 units

The volume of the prism is given as,

V = L x W x H

The volume of the prism is calculated as,

V = 4 x 4 x 5.5

V = 88 cubic units

The volume of the prism will be 88 cubic units. Then the correct option is B.

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The complete question is given below.

Answer:

56

Step-by-step explanation:

Multiply 7 to both sides to get x by itself.

z/7=8

Check:

Answer:

The speed of the wind is 12 miles per hour.

Step-by-step explanation:

Given that the plane travels 264 miles in 1.1 hours with a headwind, the following calculation must be performed to determine its speed:

264 / 1.1 = X

240 = X

Thus, the speed of the plane into the headwind was 240 miles per hour. Now, on the return, with the wind in favor, the route is completed in exactly 1 hour.

Therefore the wind exerts a difference of 24 miles per hour between one trip and another, with which, if it remains stable, its speed is 12 miles per hour (24 / 2).

Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

Answer:

Is the question 'Rewrite 3^-7 using a fraction'

If yes, Then

It can be written as 1/3^7

THIS IS DONE BY USING  A LAW i.e., a^-1=1/a^1

Answer:

Your answer is going to be 30

Step-by-step explanation:

5(9y+x)=

5((9)(1/3)+3)=

5(3+3)=

5(6)=

30

The coefficient of determination, given the total variation and the explained variation would be 0.898.

R-squared, or the coefficient of determination, represents the proportion of variation within a response variable that can be explained by the regression model. This calculation is achieved through dividing the explained variation by the total variation.

We are given the explained variation as 18. 592. We are also given the total variation as 20. 711.

The coefficient of determination is:

= explained variation / total variation

= 18. 592 / 20.711

= 0. 898

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Full question is:

A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711, the explained variation is 18.592, and the unexplained variation is 2.119.

Find the coefficient of determination. Round to three decimal place

The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.

To solve the given equations, we need to find the value of the function f(x) for specific values of x.

"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"

To find f(2), we can substitute x = 2 into the equation and solve for f(2).

Plugging in x = 2, we get:

f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)

Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.

"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"

To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).

Plugging in x = -3, we get:

f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2

Simplifying, we have:

f(-3) / 0 = 3(9) + 12 + 2

f(-3) / 0 = 27 + 12 + 2

f(-3) / 0 = 41

Additional information or context is needed to solve for f(-3).

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Work Shown:

range = max - min = 10 - (-6) = 10 + 6 = 16

The range is the distance from the smallest item to the largest. Use of a number line might help sort out the values to see which is the smallest and largest.

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

The ratio of baskets made by the players to the attempted baskets is 3:5 or 3/5.

The number of baskets the player made is 9. The number of baskets the player attempted is 15. Now, representing it as ratio: we will add made baskets in the numerator and attempted baskets in denominator

Number of baskets the player made to the number of baskets the player attempted = 9:15

Dividing the ratio by 3 to find the required ratio

Number of baskets the player made to the number of baskets the player attempted = 3:5

Hence, the desired ratio is 3:5.

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The complete question is attached in the figure.

Answer: a

Step-by-step explanation:

Answer:

x^2 +3

Step-by-step explanation:

f(x) = 2x^2 + 2

g(x) = x2 – 1,

find (f – g)(X).

f(x) - g(x) = 2x^2 + 2 -( x^2 – 1)

Distribute the minus sign

             = 2x^2 +2 -x^2 +1

             = x^2 +3

(a) This study is observational because the consultant is not manipulating any variables or imposing treatments on the machines.

(b) The factors are:

Machine (experimental factor): There are six machines, labeled A through F.

Carton (observational factor): There are 20 cartons selected randomly from each machine.

Deviation from 32 ounces (response variable): This is the weight difference between the actual fill amount and the target fill amount of 32 ounces.

The factor levels are:

Machine: A, B, C, D, E, F

Carton: 1, 2, 3, ..., 20

The factor-level combinations are all possible pairs of machine and carton, such as A-1, A-2, ..., F-20.

(c) This is a nested design because the 20 cartons selected from each machine are not interchangeable between machines.

(d) Here's an example code snippet in R to import the data and display the structure of the dataframe:

data <- read.csv("filling_machine_data.csv")

data$Machine <- factor(data$Machine)

levels(data$Machine)

Assuming the data is stored in a CSV file called "filling_machine_data.csv", the code reads in the data, coerces the Machine variable to a factor, and displays the factor levels of Machine

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Answer:

6384 is the exact answer.

6000 is the answer rounded to the nearest thousand

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

532 X 12 = 6384 rounded would be 6000 miles a yr

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:maintenance

Step-by-step explanation:is the correct answer

Oil change is considered to be a part of routine maintenance.

Technically speaking, maintenance in industrial, commercial, and residential installations refers to functional inspections, servicing, repairing, or replacing necessary devices, equipment, machinery, building infrastructure, and supporting utilities.

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The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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A word problem is given, it is required to find the equation that models the situation.

Since Robin has 6 pairs and Rhonda borrowed x pairs, the expression for this can be written by subtracting x from 6:

Note that this expression gives the number of pairs Robin will have left.

Since it is given that Robin had 4 pairs left, equate the expression to 4:

Hence, the required expression is 6-x=4.

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Answer:

a2

Step-by-step explanation:

Answer:

it's 4

Step-by-step explanation:

y - y1= m(x- x1)

y- (-1)= 2(x - 3)

y+ 1= 2x- 6

y= 2x - 7

Answer:

you need to use the before change and after method.