The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.
Which statement correctly describes the relationship between △DEF and △D′E′F′ ?
the triangles are congruent because △D′E′F′ is a rotation of △DEF , and a rotation is a rigid motion.

The triangles are congruent because △D′E′F′ is a reflection of △DEF , and a reflection is a rigid motion.

The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

The triangles are not congruent because △D′E′F′ is a translation of △DEF , and a translation is not a rigid motion.

Answers

Answer 1
The rule (x,y)→(2x,2y) maping △DEF to △D′E′F′ is a dilation which enlarges the pre-image by a scale of 2.

Two triangle are congruent when all the corresponding angles are equal and all the corresponding sides are equal.

Therefore, the triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.
Answer 2
The rule: (x,y)→(2x,2y), mapping △DEF to △D′E′F′ can be described as a dilation of △DEF into △D′E′F′. The points are extended away from each other by increasing their distance from the origin, making △D′E′F′ larger than △DEF. A dilation is not a rigid motion, because distance between the points D, E, and F are not preserved, but extended. The triangles are not congruent because they change size.

Related Questions

I need the steps to this problem, please!

Answers

Hello Ashley!

This is an isosceles triangle. How do we know? Well, the two little bar they put means that it is isosceles. When you add all the angles together, you MUST find them equal to 180. Another you need to keep in mind is that the angle that are face to face with each other are ALWAYS equal.

Too much talking...we gonna solve the problem.

x + x + 72 = 180
2x + 72 = 180
2x = 180 - 72
2x = 108
x = 108/2
x= 54
That's the answer .

---------------------
What did we say earlier? We said that when we add all the angles together we MUST find them equal to 180. So, we gonna replace x by 54

54 + 54 + 72  = 180
180 = 180
So.. yes we got it right!

54 is the correct answer.

Good luck with your studies!



write 25.784 in expanded form

Answers

No expanded form is when all the numbers are broke up
I will be writing the 3 different types of expanded form's

Expanded Notation Form: 

20+5 + 0.7 + 0.08

Expanded Factors Form:
 2 × 10 + 5 × 1 + 7 × 0.1 + 8 × 0.01 + 4 × 0.001

Expanded Exponential Form:

2 × 101 + 5 × 100 + 7 × 10-1 + 8 × 10-2 + 4 × 10-3

Word Form:

twenty-five and seven hundred eighty-four thousandths

Solve each data for x: (a) a rectangle has (2x + 1) and (x +2) as length and width. Its area is 77 (b.) a triangle has (2x+2) and (x+3) as base and height. Its area is 35

Answers

area of a rectangle: A= Length*width
(2x+1)(x+2)=77
2x^2+4x+x+2=77
2x^2+5x+2=77
2x^2+5x-75=0
(x-5)(2x+15)=0
x=5 or x=-7.5
Length cannot be negative, so x=5 only
the length is 11, the width is 7
Next, let's look at the triangle.
Area of a triangle: A=1/2 of base*height
(1/2)(2x+2)(x+3)=35
2x^2+8x+6=70
2x^2+8x-64=0
x^2+4x-32=0
(x-4)(x+8)=0
x=4
the base is 10, the height is 7

What is the value of n? -6.5(n - 5) = 18.2

Answers

-6.5(n-5) = 18.2

-6.5n + 32.5 = 18.2

-6.5n = -14.3

n = -14.3 / -6.5 = 2.2

n = 2.2

A tennis supply store pays a wholesaler 90 for a tennis racquet and sells it for 144 what is the markup rate

Answers

uh i dont know if its multiplication or subtraction

Q=p(r+s) solve for p

Answers

Q = p(r + s)
Use the distributive property
Q = pr + ps
Q = p x r + p x s
Q = p x p + r x s
Q = p^2 + rs
Subtract rs from both sides
Q - rs = p^2
Square root both sides
sqrt Q - rs = p
Q=p(r+s)
Q/(r+s)= p(r+s)/(r+s)
ANSWER
Q/(r+s) = P

Whatever you do to one side of the equation, you must do to the other.

What was true about settlement of the louisiana territory?

Answers

The settlers wanted to adopt the same system of slavery in from France. France is one the colonizers who have introduced slavery into their colonies in order to mass produce products like tobacco, wheat and more. France was forced to sell Louisiana on the eve of the revolt of Saint Domingue, one of their colonies in the Caribbean Islands.

Answer:

Settlers in the territory wanted the same approach to slavery as in the states they came from

Step-by-step explanation:

What is the correct evaluation of 3x2 + 4x - 2y2 + 4y + 5, when x is equal to -1 and y is equal to 5?

Answers

Final answer:

The expression 3x^2 + 4x - 2y^2 + 4y + 5 evaluates to -26 when x = -1 and y = 5.

Explanation:

The evaluation of the expression 3x2 + 4x - 2y2 + 4y + 5 when x is equal to -1 and y is equal to 5 is calculated by substituting these values into the equation.

First, substitute x = -1 into 3x2 + 4x, which gives 3(-1)2 + 4(-1) = 3 * 1 - 4 = 3 - 4 = -1.Next, substitute y = 5 into -2y2 + 4y, which gives -2(5)2 + 4*5 = -2 * 25 + 20 = -50 + 20 = -30.Add up the results from step 1 and step 2, and include the constant 5 from the original expression to find the final result: -1 - 30 + 5 = -26.

Therefore, the correct evaluation of the expression when x = -1 and y = 5 is -26.

A man bought a horse and carriage for $500 paying three times as much for the carriage as for the horse how much did each cost

Answers

Hello! So, in order to solve this question, we should do 500/4. 500/4 = 125. Multiply 125 by 3 and you get 375. The horse costs $125 and the carriage costs $375.
the horse was $125  and carriage  was $375

the georges traveled 498.2 miles on 15.8 miles of gas how many miles per gallon did they get to the nearest tenth of a mile?

Answers

31.5 is the gas milage
31.5 
hope this helps!!

4x+3=x+15 Which statement correctly explains why this equation has only one solution? Answer Choices The equation is true only when x=4 . The equation is true for all the values of x . The equation is true for no values of x . The equation is true only when x=−4 .

Answers

That would be Choice 1  because
4(4) + 3 = 19
and
4 + 14 = 19

left side = right side

ANYONE KNOW ACCOUNTING???

Answers

Single rule=>no more entries
Excess expenses=> net loss
Excess revenue=> net income
Owner's equity=>internal liabilities
Double rule=>ready to add
Accounting equation=>matching concept

Hope it helps!

Find two consecutive positive even integers whose product is 168

Answers

Hello There!

The integers you are looking for are 12 and 14.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

how to solve for sum of a quadratic roots if ratio of roots is given

Answers

waudhauhfahdifaudfuwafuaw

There are 38 pockets on an american roulette wheel: 18 red, 18 black, and 2 green. if you were to randomly spin an american roulette wheel, what is the probability that it would land on a green pocket

Answers

You have about 5.23% chance to land in a green pocket. You can find this by dividing 2/38 or the questioned amount by the total amount of options.
Final answer:

The probability of an American roulette wheel landing on a green pocket is 1/19, which is calculated by dividing the number of green pockets by the total number of pockets on the roulette wheel.

Explanation:

The student is asking about the probability of a specific outcome in a random event, specifically, the likelihood of landing on a green pocket in an American roulette game. To find this probability, we need to look at the total number of pockets and how many of them are green. With 38 total pockets and 2 being green, the probability that the roulette wheel will land on a green pocket is calculated by the ratio of green pockets to total pockets.

To calculate it: Probability = Number of green pockets / Total number of pockets = 2 / 38 = 1/19

This simple division computes the likelihood of a single spin resulting in a green pocket landing. Importantly, this calculation assumes each pocket has an equal chance of being landed on and that there are no biases in the wheel.

In an equilateral triangle, what is the relationship between the length of a side and the perimeter?

Answers

1:3
If each side is x, the the perimeter is 3x.  x/3x = 1/3

Answer:

1:3

If each side is x, the the perimeter is 3x.  x/3x = 1/3

Step-by-step explanation:

help me please!!!!!!!

Answers

i'll give you answer for 48 once you give me the complete version of it

jill is applying for a car loan. which individual will run her credit report to determine if she's eligible for a car loan?
a. creditor
b. government representative
c. employer
d. landlord

Answers

a creditor will run her report,

 creditor = credit report.

Answer:

a) Creditor

Step-by-step explanation:

a) Right. Creditor

She's applying for a Car loan, the Creditor, i.e. the one who is going to lend her the money to buy a new car. In this case, if Jill is applying to a bank . The creditor will be the Bank she's applying for.

Let's look a the definition of Creditor:

A creditor is a person or company that provides credit to another person or company functions as a creditor.

creditor. (n.d.) Lightbulb Press Dictionary of Financial Terms. (2008). Retrieved September 18, 2019

b) Wrong. There is no direct cause-effect relation since a Government Representative might describe virtually any public civil servant. And also her application has nothing to do with Public Funding.

c) Wrong. Her employer is not the person appointed to determine if she's able to receive the loan. As her boss He/She whether Jill is eligible for a car loan.

d) Wrong. Similarly, her landlord is not the person appointed to determine if she's able to receive the loan.

The formula V=I*W*H is used to find the volume of a rectangular prism,where V=volume,I=Length,W=Width,And H=height of a rectangular prism has a volume of 360 Cm3 and you know that the length is 9cm, and the width is 4cm,what is the height?

Select the correct answer answer below.

A.5cm

B.10cm

C.20cm

D.30cm

Answers

V=I*W*H

360 = 9 * 4 * H

360 = 36H

36H = 360

H = 360/36

H = 10

Answer: 10 cm

Footrace takes place among 4 runners, how many ways to finish the race

Answers

4 * 3 *2 *1 = 24 different ways

Classify the triangle formed by the given side lengths:
3, 4, 6
a. right triangle
b. acute triangle
c. obtuse triangle
d. not a triangle

Answers

acute because 3+4+6 gives me 13 which is less than 90 so acute would be your answer

sylvie finds the solution to the system of equations by graphing.

y=2/3x+1 and y=-2/3x-1

which graph shows the solution to sylvie’s system of equations?

a) graph 1
b) graph 2
c) graph 3
d) graph 4

Answers

c) graph 3
Point 3,3 satisfies y=2/3x+1 

Answer:

solution is (-1.5,0)

Graph 3

Step-by-step explanation:

[tex]y=\frac{2}{3}x+1[/tex]and [tex]y=-\frac{2}{3}x-1[/tex]

In the first equation [tex]y=\frac{2}{3}x+1[/tex]

slope = 2/3 and y intercept is 1

Lets start with graphing y intercept +1  

then we slope , move 2 units up and 3 units to the right. stop at (3,3)

Now we graph the second equation

[tex]y=-\frac{2}{3}x-1[/tex]

slope = -2/3 and y intercept is -1

Lets start with graphing y intercept -1  

then we slope , move 2 units down and 3 units to the right. stop at (3,-3)

both graph intersects at a point (-1.5,0)

is -22 an irrational number???

Answers

-22 is not an irrational number     





no its a rational number

Ken went to the store with his mother he spent 2.37 on groceries in addition his mother said he can spend 0.35 on candy what was his change from a five dollar bill

Answers

$2.28
2.37+0.35 = 2.72
5.00-2.72 = 2.28

solve 14x^2 + 42x + 70 = 0

Answers

Answer:

  x = -3/2 ± i(√11)/2

Step-by-step explanation:

The quadratic formula can be used directly, but I find it convenient to divide by 14 first:

  x^2 +3x +5 = 0

The solution to ...

  ax^2 +bx +c = 0

is given by the formula ...

  x = (-b ±√(b^2 -4ac))/(2a)

Here, we have a=1, b=3, c=5, so the formula gives the solutions ...

  x = (-3 ±√(3^2 -4·1·5))/(2·1) = -3/2 ± i(√11)/2 . . . . . solutions are complex

To rent a certain meeting room, a college charges a reservation fee of
$
31

and an additional fee of
$
6.60

per hour. The history club wants to spend at most
$
77.20

on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use
t

for the number of hours the meeting room is rented, and solve your inequality for
t

.
thank you for your help =)

Answers

31 + 6.60h <=77.20

6.60h <= 46.20

46.20/6.60 = 7

 they can rent up to 7 hours

A family paid 28,800 as a down payment for a home if this represents 16% of the price of the home find the price of the home

Answers

divide the down payment by the percentage

28,800 / 0.16 = 180,000

 the price of the home is $180,000

To get the price of their home you have to divide the down payment by the percentage to get your answer. 

28,800 ÷ 0.16 = 180,000

 So the price of their home is $180,000.

five cakes cost £4.00 how much do 7 cost

Answers

Greetings!

We can solve this by creating an algebraic equation.
[tex]5/4=7/x[/tex]
Cross Multiply.
[tex]5*x=4*7[/tex]
[tex]5x=28[/tex]
Divide both sides by 5.
[tex](5x)/5=(28)/5[/tex]
The Answer Is:
[tex]x=5.6[/tex]

Seven cakes would cost $5.60.

Hope this helps.
-Benjamin

Sonia has three bracelets. she wears them all at the same time but in a diffrient order each day how many diffrent bracelet combinations dose sonia have to chose from?

Answers

There are 3 bracelets.
The first bracelet can occupy a position in 3 ways.
The second bracelet can occupy the remaining 2 positions in 2 ways.
The third bracelet can occupy the remaining position in 1 way.
The total number combinations is
3*2*1 = 6

Answer: 6

PLEASE HELP!
The prize for winning a contest can be chosen from category A or category B. Prizes from category A have a mean of $1000 and a standard deviation of $50. Prizes from category B have a mean of $1000 and a standard deviation of $300. Describe an advantage of each prize category.

Answers

       x         115
--------- = ------
 216.75   100
216.15*115=249263.25
249263.25/100=249.2625
x= 249.26  B
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