Triangle ABC is shown below. Using a compass and straightedge, construct the dilation of ABC centered at B with a scale factor of 2.

Triangle ABC Is Shown Below. Using A Compass And Straightedge, Construct The Dilation Of ABC Centered

Answers

Answer 1

Triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

What is scale factor?

A scale factor simply refers to a ratio of two (2) corresponding side lengths or diameter in two (2) similar geometric figures such as triangles.

In this exercise, you're required to construct a dilation of triangle ABC that is centered at B with a scale factor of 2 by using a compass and straightedge.

In conclusion, triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

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Triangle ABC Is Shown Below. Using A Compass And Straightedge, Construct The Dilation Of ABC Centered

Related Questions

The circle graph shows how Elsa divides her time between all of the sports she plays per week.



Elsa played sports for 20 hours last week. How many more hours did she play baseball than volleyball?
Answers:
A:1
B:3
C:4
D:5

Answers

The number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3

Calculating time spent on sport

From the question, we are to determine how many hours Elsa played baseball than volleyball

From the given information,

Elsa played sports for 20 hours

From the circle graph,

She spent 25% of the time on baseball

Time spent on baseball = 25% × 20 hours

Time spent on baseball = (25/100) × 20 hours

Time spent on baseball = 0.25 × 20 hours

Time spent on baseball = 5 hours

For time spent on volleyball

From the circle graph, she spent 10% of the total time on volleyball

Time spent on volleyball = 10% × 20 hours

Time spent on volleyball= (10/100) × 20 hours

Time spent on volleyball= 0.1 × 20 hours

Time spent on volleyball= 2 hours

The number of more hours spent on baseball than volleyball

= 5hours - 2 hours

The number of more hours spent on baseball than volleyball = 3 hours

Hence, the number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3

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If you roll a die twice what is the probability of rolling a 3 the first time and then rolling a 4 the second time? write your answer as a fraction

Answers

Answer:

Step-by-step explanation:

P(3 and 4)= 1/6×1/6

                =1/36

Based on the end behavior of the graph, which polynomial function is graphed here?

graph of f(x) = -3x^4 - 6x^3 - 2x^2 + x + 3

A.
f(x) = 3x4 − 6x3 − 2x2 + x + 3
B.
f(x) = -3x3 − 2x2 + x + 3
C.
f(x) = -3x4 − 6x3 − 2x2 + x + 3
D.
f(x) = 3x3 − 2x2 + x + 3

Answers

Answer:

C) [tex]f(x)=-3x^4-6x^3-2x^2+x+3[/tex]

Step-by-step explanation:

As the graph of the function has 3 turning points, then it cannot be options B or D because the function would've had 2 turning points at most.

Also, since the graph of the function opens downward, the leading coefficient must be negative, so C must be the correct answer.

Given the pyramid, calculate the SURFACE AREA and VOLUME. (please help ASAP)

Answers

Here is the volume for it 4680000 and here is the surface area 185986.84872275

PLEASE HELP NEED TO PASS

Answers

Answer:

The second answer

Step-by-step explanation:

Answer:

-3 ± √41

Step-by-step explanation:

Numerator of Quadratic Formula

-b ± √b² - 4aca = 2b = 3c = -4

⇒ -3 ± √(-3)² + 4(2)(-4)

⇒ -3 ± √9 + 32

-3 ± √41


PLEASE HELP!!

Oakdale Farms grew two different varieties of tomatoes last summer. When
the tomatoes were fully grown, they took a sample of each variety and
compared their weights.

Answers

Answer:

D

Step-by-step explanation:

it's because of simple logic

Find the area of the triangle ABC with the coordinates of A(10, 5), B(15, 15), and C(30, 9).
A = units²

Answers

Answer: 90

Step-by-step explanation:

The Kakkar family is building a circular swimming pool. If the radius of the pool is 6 feet, What is its circumference? Use π = 3.14 to solve.

Answers

Answer:  37.68 feet

Work Shown:

C = 2*pi*r

C = 2*3.14*6

C = 37.68

grace likes jeffery what will she do ?

Answers

Answer:

2,964

Step-by-step explanation:

52 x 57 = 2,964

Researching the average earnings by major and by career can help you determine the _____ of an institute of higher education.

a) net cost

b) sticker price

c) available scholarships

d) return on investment

Answers

a) the net cost, is the answer

Researching the average earnings by major and by career can help you determine the return on investment of an institute of higher education.

How to Calculate Return on Investment (ROI)?The primary indicator of the profit made from any venture is return on investment (ROI). A gain or loss from an investment in relation to its cost is compared using this ratio. Whether you are assessing the success of your stock portfolio, taking into account a company investment, or choosing whether to start a new project, it is helpful in evaluating the current or projected return on an investment.ROI and other cash flow indicators, including internal rate of return (IRR) and net present value (NPV), are important metrics that are used in business research to assess and prioritize the attractiveness of various investment options.Despite the fact that ROI is a ratio, it is usually stated as a percentage.It's crucial to keep a few things in mind when assessing ROI figures. First off, because it is inherently simpler to understand than a ratio, ROI is frequently represented as a percentage. Second, because investment returns can be either positive or negative, the ROI calculation includes the net return in the numerator.

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Why is apr an important tool for consumers

Answers

Answer:

APR, or annual percentage rate, is your interest rate stated as a yearly rate. An APR for a loan can include fees you may be charged, like origination fees. APR is important because it can give you a good idea of how much you'll pay to take out a loan.

How do you add these two consecutive triangular numbers?
TR(4)+TR(3)

Answers

The n-th trianglar number is given by

[tex]T_n = \dfrac{n(n+1)}2[/tex]

Then

[tex]T_4 + T_3 = \dfrac{4\times5}2 + \dfrac{3\times4}2 = \boxed{16}[/tex]

Alternatively, the triangular numbers are defined recursively by

[tex]\begin{cases}T_1 = 1 \\ T_n = T_{n-1} + n & \text{for } n>1\end{cases}[/tex]

This means

[tex]T_1=1[/tex]

[tex]T_2 = T_1 + 2 = 3[/tex]

[tex]T_3 = T_2 + 3 = 6[/tex]

[tex]T_4 = T_3 + 4 = 10[/tex]

so that

[tex]T_3+T_4=\boxed{16}[/tex]

please help me out!!!
A trapezoid with short base fourteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
320 square centimeters
608 square centimeters
416 square centimeters
560 square centimeters

Answers

Answer:

416 square centimeters

Step-by-step explanation:

Formula for finding area of a trapezoid :

A = 1/2 x (a + b) x h

a and b = parallel sides of the trapezoidh = height of the trapezoid

Solving :

A = 1/2 x (38 + 14) x 16A = 8 x 52A = 416 square centimeters

Answer:

416 cm²

Step-by-step explanation:

The figure we are given, is a trapezoid. Let's apply the "area of trapezoid" formula to determine the area of the trapezoid provided.

[tex]\boxed{\text{Area of trapezoid:} \ \dfrac{a_1 + a_2}{2} h}[/tex]

[Where a₁ and a₂ are the measure of the parallel sides and h is the height]

Let's plug the height and the parallel sides into the formula and simplify it:

[tex]\text{Area of trapezoid} = \dfrac{38 + 14}{2} \times 16}[/tex]

[tex]\text{Area of trapezoid} = \dfrac{52}{2} \times 16}[/tex]

[tex]\text{Area of trapezoid} = 26 \times 16}[/tex]

[tex]\boxed{\text{Area of trapezoid} = 416 \ \text{cm}^{2}}[/tex]

Therefore, the area of the trapezoid is 416 cm².

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find the value of x PLS HELP I WILL GIVE BRAINLIEST if its right :D

Answers

Answer:

x=21

Step-by-step explanation:

For simplicity's sake, I started by naming the angles. Please reference the attachment.

For this, we're using parallel lines with one intersecting line (transversal) to give us valuable information about the angles.

First, based on the Corresponding Angles Theorem, corresponding angles, such as A and B, are congruent.

This means that angle B can also be represented by the expression 6x-19.

Furthermore, since angles B and C are on the same line, they must be supplementary, meaning that they add up to 180 degrees.

This said, we can set up an equation to solve for x because B+C=180

6x-19+3x+10=180

Combine Variables

9x+10-19=180

9x-9=180

Add 9 to both sides to isolate x

9x=189

Divide both sides by 9

x=21

This problem could have also been solved with various other theorems such as, but not limited to:

Keep in mind a prerequisite for all of these theorems except the vertical angles theorem are that it must be for a transversal cutting/intersecting 2 parallel lines.

The Alternate Exterior Angles Theorem states that alternate exterior angles are congruent (A and D)

The Alternate Interior Angles Theorem states that alternate interior angles are congruent (C and E)

The Vertical Angles Theorem states the vertical angles- angles across from each other- are congruent (B and D)

The Same Side Exterior Angle Theorem states that same side exterior angles supplementary (A and F)

The Same Side Interior Angle Theorem states that same side interior angles are supplementary (E and B)

Please let me know if you have any questions!

A jar contains nine blue marbles, eight yellow marbles, 11 black marbles, and 12 red marbles.

Without looking, what is the probability of pulling a white marble from the jar?

Answers

The probability of pulling a white marble from the jar is 0.

What is the probability?

Probability determines the odds that an event would happen. The odds usually lie between 0 and 1.

The probability of pulling a white marble = total number of white marbles / total number of marbles

0 / 40 = 0

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Liz had 10 candies. She ate 4 of them. How many candies are left?

Answers

Liz now has six candies left

Answer: 6

Step-by-step explanation: 10-4=6

The description for a certain brand of house paint claims a coverage of 410 ft2/gal. How many liters of paint are required to apply a single coat of paint to the (4) walls of a 7.7 m by 14.8 m room with a height of 2.4 m

Answers

Answer:

10.7 liters of paint required

Step-by-step explanation:

Dimensions of the room

7.7 m by 14.8 m with the height of 2.4 m

Find the surface area of the 4 walls

A = Ph = 2(l + w)h = 2(7.7 + 14.8)*2.4 = 108 m²

Convert the area to ft²

108 m² = 108*10.7639 ft² = 1162.5012 ft²

Find the amount of paint required

1162.5012/410 = 2.84 gal (rounded)

Covert the volume to liters

2.84 gal = 2.84*3.76 l = 10.7 l (rounded)

Prove .. help me pls

Answers

Answer:

Step-by-step explanation:

a ball is dropped from a height of 6 metres. suppose the ball rebounds 2/3 of the height from which it falls. find total distance travelled by ball

Answers

Answer:

10 meters.

Step-by-step explanation:

We know the ball travelled a distance of at least 6 meters as that is how far it was dropped.

It rebounded 2/3 of 6 meters, which is 4 meters.

6 meters add 4 meters is 10 meters.

24. Write a formula to estimate the amount of material required to cover Firm 3's structure, not including the floor. Explain your reasoning. (2 points: 1 for the formula, 1 for the explanation)

Answers

Formula to estimate the amount of material required to cover firm 1's structure not including the floor is; πr² + πrh

How to Generate Formulas?

From the complete question seen online,

The given parameters are;

The shape of the firm 1's structure = Cylindrical shape

The radius of the firm 1's structure = 35

Height of firm 1 structure = 60

The amount of material to cover the firm 1 structure not including the floor = The surface area of a cylinder excluding the base

The formula for the surface area of a cylinder = 2πr² + πrh

If we take away the area of the base, we have;

Surface area of a cylinder excluding the case  = 2πr² + πrh - πr² = πr² + πrh

Formula to estimate the amount of material required to cover firm 1's structure not including the floor = πr² + πrh

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CAN SOMEONE PLEASE ANSWER THIS QUICK I HAVE 5 MINS PLS

Answers

Answer:

$20

Step-by-step explanation:

49 is the outlier

What is the solution to this equation?
m – 3 = 9


m=9


m=6


m=3


m=12

Answers

Answer: m=12

Step-by-step explanation:

Answer:

m=12

Step-by-step explanation:

m - 3 = 9

You have to make sure

that m stands alone,

that's making m the subject.

So -3 have to cross the equal to sign,

to become +3

m = 9 + 3

m = 12

Hope this help. I wish you all the best

2) Frank's Auto Zone charges $125 for parts and $75 per hour for labor.
Gracie's Engine Works charges a flat fee of $425 for the same job. Aft
how many hours would the companies charge the same amount?
Mark only one oval.
A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours

Answers

Answer:

the answer is c 4 hours because it's 75 per hour

first correct answer gets brainleist pls help asap​

Answers

Answer:

The angle is acute. This type of angle must be between 0° and 90°, and Orla's estimate is not.

Which expression is equal to -4-9?

Answers

Answer:

-4+(-9)

Step-by-step explanation:

if you have two negatives in an equation next to each other like -4-9 then it is basically adding the two but will just equal a negative sum

Help me with this question please

Answers

An associate in a scatter plot tells us the relation between the two variables. The points that are true about the given scatter plot are C and F.

What is an associate?

An associate in a scatter plot tells us the relation between the two variables. There are 4 types of associates:

Positive associate: If the value of one variable is increasing the value of another increase as well, but the relation is not linear.

Negative associate: If the value of one variable is decreasing with the value of another increasing as well, but the relation is not linear.

Linear Associate: If the value of one is dependent on the other such that they follow a function of line, and all the data points are on that function line.

Non-linear Associate: If the data points of the plot are scattered and random, such that there is no relationship between the points.

The points that are true about the given scatter plot are:

C.) There appears to be a positive association.

F.) A cluster appears to be at the bottom left corner.

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can someone help me with this? thank you!

Answers

Answer:

V = 240 [tex]cm^{3}[/tex]

Step-by-step explanation:

To find the volume of a rectangular prism use this equation:

V = l*w*h

l = length (20 cm)

w = width (4 cm)

h = height (3 cm)

Plug all these values into the equation and solve:

V = (20 cm)(4 cm)(3 cm)

V = (80 [tex]cm^{2}[/tex])(3 cm)

V = 240 [tex]cm^{3}[/tex]

Therefore, the volume of the rectangular prism is 240 [tex]cm^{3}[/tex].

I hope this helps! Good luck!

Solve the linear system:
y = 3 – 4x
y= 4+ 1/2x

· (3,5)

·(-0.22, 3,89)

·(3.2, 5.6)

·(-1,7)

Answers

The answer is:

(-2/9, 35/9) in rounded decimal form is (-0.22, 3.89)

x = - 2 / 9 which in decimal form as well as rounded is -0.22

y = 35 / 9 which in decimal form as well as rounded is 3.89

Hope this helps...

Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account.

Answers

Answer:

Step-by-step explanation:

A reasonable estimate of the amount Donna is left with each week after the money is deducted: $980. 1404*.19=266.76 ; 1404*.12=168.48 ; 1404-266.76-168.48=968.76 or estimated as $980.

Using the digits 0-9, no more than once, complete the puzzle so that the sum of each side is equivalent.

Answers

Answer:

[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]

Step-by-step explanation:

[tex]\begin{matrix}a&e&b\\ f&&g\\ c&h&d\end{matrix}[/tex]

From the table,we can extract these equations:

a + e + b = a + c + f = b + g + d = c + h + d

a + e + b = a + c + f ⇒ e + b = c + f

b + g + d = c + h + d ⇒ b + g = c + h

[tex]\begin{Bmatrix}e+b=c+f\\ b+g=c+h\end{Bmatrix} \Longrightarrow g-e=h-f\Longrightarrow g+f=h+e[/tex]

2 + 3 = 4 + 1 then let’s consider :

e = 2 ; h = 3 ; f = 4 ; g = 1 ,which satisfies g + f = h + e

The table becomes:

[tex]\begin{matrix}a&2&b\\ 4&&1\\ c&3&d\end{matrix}[/tex]

From the equation b + e = c + f we get b + 2 = c + 4 then b = c + 2

If we consider c = 5 ⇒ b = c + 2 = 5 + 2 = 7

Then the table becomes

[tex]\begin{matrix}a&2&7\\ 4&&1\\ 5&3&d\end{matrix}[/tex]

Then a + 9 = d + 8 ⇒ d = a + 1

If we consider a = 8 ⇒ d = 9

[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]

I know it’s not perfect reasoning ,but it may help.

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