Rectangle DEFG is dilated with the origin as the center of dilation using the rule (x,y) --> (3,5x, 3.5y) to create rectangle D'EFGʻ. Which statement is true?
Rectangle D'EFG' is smaller than rectangle DEFG, because the scale factor is less than 1.
Rectangle D'EFG' is smaller than rectangle DEFG, because the scale factor is greater than 1.
Rectangle D'E'FG' is larger than rectangle DEFG, because the scale factor is greater than 1.
Rectangle D'EFG' is larger than rectangle DEFG, because the scale factor is less than 1.

Answers

Answer 1

Answer:

We conclude that ''rectangle D'E'F'G' is larger than rectangle DEFG because the scale factor is greater than 1''.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, the shape of the original size does not change, but the size of the original object tends to change depending upon the value of a scale factor.

For example,

If scale factor > 1, the image gets larges or stretched.If the scale is between 0 and 1, the image reduces.If the scale factor = 1, the figure and image will be congruent.

Given that Rectangle DEFG is dilated with the origin as the center of the dilation using the rule (x,y) --> (3.5x, 3.5y) to create rectangle D'E'F'G'.

Given the scale factor = 3.5

As the scale factor > 1

Thus, the rectangle D'E'F'G' is larger than the rectangle DEFG.

Therefore, we conclude that ''rectangle D'E'F'G' is larger than rectangle DEFG because the scale factor is greater than 1''.


Related Questions

In 2020, the United States population is 3.31 x 108. What is this number in standard form?
А
33,100,000
B
331,000,000,000
С
331,000,000
D
3,310,000
anybody know the answer??

Answers

Answer:331,000,000

Step-by-step explanation:

can someone help me ​

Answers

Answer:  B) 6 minutes

============================================================

Explanation:

Let's find the slope of the table. This will tell us the rate of change.

m = slope

m = (y2-y1)/(x2-x1)

m = (25250 - 26375)/(2 - 1) .... I used the first two rows

m = -1125/1

m = -1125

The slope of -1125 means the plane's altitude is decreasing at a rate of 1125 feet per minute. This is the descent speed.

Since we're told the initial altitude was 27500 ft, this means b = 27500

This means y = mx+b turns into y = -1125x+27500

x is the number of minutes and y is the altitude at time x

As a way to check this, plug in various x values of the table. You should get corresponding y values that match the table. I'll let you do this part.

------------------

Now plug in y = 16250 and solve for x

y = -1125x+27500

16250 = -1125x+27500

-1125x+27500 = 16250

-1125x = 16250-27500

-1125x = -11250

x = -11250/(-1125)

x = 10

It takes 10 minutes after the descent period has started, for the pilot to get to 16,250 ft.

Since the pilot was contacted at the x = 4 minute mark, this means 10-4 = 6 minutes is the duration needed for the pilot to go from 23,000 ft to 16,250 ft.

Can You Help Me With This Question

Answers

Answer:

Step-by-step explanation:

A private college allows local residents to use athletic facilities such as the gym and the pool for a fee. The college charges a one time registration fee of $25 and also charges a fee of $18 per semester of use. complete the table to show the total cost of using the athletic facilities after each semester listed.

Answers

Step-by-step explanation:

1) 43

2) 61

3) 79

4)97

5)115

Answer:

popoverlover20 is correct I got it right

Step-by-step explanation:

HELPP ASAPPPP

Evaluate the expression 10m - 11
if m=4

Answers

Answer:

is the answer 45444.2453 jd

Step-by-step explanation:

Answer:

10m -11 ( plug in the given value for m)

10 (4) -11  (do multiplication first because of PEMDAS)

40 -11  (subtract)

29 (the answer)

Aiden earned $184.50 at his job when he worked for 9 hours. What did he earn in one
hour?

Answers

Answer:

20.50$ in one hour

Step-by-step explanation:

Just division :)

Planes A and B are shown. If a new line, p, is drawn parallel to line l, which
statement is true?
O Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same plane as line l.
O Line p must be drawn in the same plane as line n

Answers

Answer: the second one

Step-by-step explanation:

I’m smart I have al a’s

The true statement is - Line p must be drawn so that it can lie in the same plane as line l.

What is plane?

"It is a two-dimensional flat surface with no edges or thickness."

What are parallel lines?

"Two lines in the same plane that are at equal distance from each other and never meet."

For given question,

Planes A and B are shown.

If a new line, p, is drawn parallel to line l,  must be drawn so that it can lie in the same plane as line l.

Line l lie in plane A.

So, the line p must be drawn in the plane A.

Therefore, the true statement is - Line p must be drawn so that it can lie in the same plane as line l.

Learn more about parallel lines here:
https://brainly.com/question/16701300

#SPJ3

Simplify the expression given below.

4(3x−1)−(6x−5)

Answers

Answer:

6x+1

Step-by-step explanation:

You would want to distribute and then combine like terms.

What is the result of factoring out the GCF from the expression ( 24 + 36 ) ?

Answers

Answer:

6 is the GCF / 6(4+6)

Step-by-step explanation:

You should know your multiples up to 10, so then do some mental math and think about what number could go in each example:

Try 2: 2,4,6,8,10,12,14,16,18,20,24... except at the end we know there is most likely a greater GCF because two even numbers still remain in the parentheses.

This should be pretty fast since you should realize that three wouldnt work and same with five.

Until you see six

6,12,18,24,30,36

rewrite y=-8x+1 in standard form

Answers

Answer:

8x+y=1

Step-by-step explanation:

Hope this helps!!

Kacy is on her freshman volleyball team.she makes 31%of her foul shots,leading her team to 14 wins in 19 games of the season. If kacy took 49 foul shots during the season, how many shots did she make(if necessary, round the the nearest tenth)

Answers

Answer:

15.2

Step-by-step explanation:

She makes 31% of her foul shots

she took 49 shots

the number of foul shots is 31% of 49 shots

=31% * 49

=0.31 * 49

= 15.19

PLEASE HELP PLEASE EMERGENCY

Answers

1, 5, 4, 2, 3 in that order

Answer:First one is first step. 2 is Last step. 3 is fourth step. 4 is second step. 5 is Third step

Step-by-step explanation:

I went down the column

Claudia spends $2.15 day for lunch.Her cafeteria lunch account has a balance of 48.00.Which equation can be used to determine the maximum number of days,d,that she can eat without adding money to her lunch account?

Answers

Given :

Claudia spends $2.15 day for lunch.

Her cafeteria lunch account has a balance of 48.00 .

To Find :

The maximum number of days, d that she can eat without adding money to her lunch account.

Solution :

Number of days she can eat without adding money in her account is :

[tex]n = \dfrac{Remaining \ Balance }{2.15}\\\\n = \dfrac{48}{2.15}\\\\n = 22.325[/tex]

But, number of days cannot be in decimal.

Therefore, maximum number of days she can eat without adding money to her lunch is 22 days.

Abby bought one package of cookies that weighed 24 ounces and another package that weighed 2 pounds 2 ounces. What was the combined weight of the two packages of cookies she bought?

Answers

Answer: If you place 10 packages per box, each box will weigh 10(3 lb 4 oz). This is 30 lb 40 oz. For 4 boxes you would have 4(30 lb 40 oz). This is 120 lb 160 oz. To put you answer in the correct form you need to change the 160 oz to pounds and ounces. 16 oz is equal to 1 pound, so divide 160 by 16. The 160 oz is equivalent to 10 lbs. Therefore the total weight of 4 boxes is 120 + 10 which equals 130 lbs.

I dont understand this question.. 2x + 3 = -15

Answers

Answer:

x=-9

Step-by-step explanation:

First write the given equation

[tex]{:}\rightarrowtail\sf 2x+3=-15 [/tex]

[tex]{:}\rightarrowtail\sf 2x=-15-3 [/tex]

[tex]{:}\rightarrowtail\sf 2x=-18 [/tex]

[tex]{:}\rightarrowtail\sf x=\dfrac{-18}{2}[/tex]

[tex]{:}\rightarrowtail\sf x=-9 [/tex]

The length and width of one rectangle are 8 and 5.

The width of the other rectangle is 5, but its length is unknown so we label it `x`.

Answers

Answer:

fksfk

Step-by-step explanation:

Answer: x is 8

Step-by-step explanation:

A real estate agent sells a house for $92,000. She receives a 6% commission on the sale of the house. How much did she earn on the sale? Round your answer to the nearest cent. Pls help i need thins in less than 5 minuets pls

Answers

$5,520.00 there ya go

Which graph represents a function

Answers

i believe the answer is A

Which pair of angles are complementary but not adjacent?

O 1 and 25
O 1and 3
O 4 and 1
O 4 and 5

Answers

1 and 3 is the answer

Can someone help me on this! plz help me and tell me how u got the answer.
and plz dont troll.....

Answers

Answer: The last choice, 2x + 3y = 10

Step-by-step explanation: This equation will have the same slope. The line will be parallel to the original side , just higher up on the grid.

What is the slope of a line perpendicular to the line whose equation is 12x-3y=81. Fully reduce your answer.

Answers

Answer:

-1/4

Step-by-step explanation:

-3y = 81-12x

y= 4x - 27

4m = -1 x 1/4

= -1/4

What is this i dont know pls help me

Answers

I’m going to say it is A hope this helps

please help someone​

Answers

m2 is 49 and m1 is 131

Answer:

m1 =131 degrees

m2=49 degrees

Step-by-step explanation:

Alternate interior angles are always congruent, so they will be equal to each other, so m1=131 degrees.

Straight angles always add up to 180 degrees, so 180-131=49, so m2=49 degrees

what is 5x+60y=35
x+y=1.5

Answers

Solving the system of equations shows that to make these equations true x=1 and y=0.5

Please help this is due right now!

Answers

Answer:

i believe its B

Step-by-step explanation:

Okay. B because your paying more than store A so B will pay the phone off faster than store A . if i am wrong let me know.

Ms. Frank purchased notebooks for $12.57 before tax. If the sales tax on her purchase was 6%, how much money should Ms. Frank have to pay for the notebooks in total.

Answers

Answer:

$13.32

Step-by-step explanation:

To find the tax, convert the percentage to decimal form and get 0.06. Multiply 0.06 by 12.57 to get 0.7542. Add this to 12.57 to get 13.3242. When rounded to the nearest hundredths place this becomes $13.32

If anyone could answer this it would be great!!

Answers

Answer:

27/8

Step-by-step explanation:

first you would convert -.5 to -1/2 and add everything up by getting the same denominator

Answer:

3.375

Step-by-step explanation:First convert the 2 1/4 and the 1 5/8

then you just add it with the 0.5 or just use a calculator  

2 1/4 = 9/4

1 5/8= 13/8

okay now do this ---> 0.5 + 9/4 +13/8 =3.375

HELP PLEASE!!!! I ONLY HAVE 3 MORE MATH RIDDLES LEFT!!!!

Answers

Answer:

97

Explanation:

Buddy- 6

Hermey-3

____________________________________________________________

It takes Buddy 94 years to be 100 so you would add 94 to both boys ages!

6+94=100 years old!

3+94= 97 years old!

Answer:

He is going to be 50 years old

Step-by-step explanation:

if he was 3 when his brother was 6 then it would mean that when his brother is 100 he should be 50  because that would be half. You can divide it if you want some extra proof :)

Body temperatures that are 0.9°F above or below 98.6°F are considered normal. What equation can be used to determine the least and greatest normal temperatures? What are Ithe temperatures?

pls help fast

Answers

Answer: i got a for your answer choice

Step-by-step explanation:

I need an answer for both of these

Answers

Answer:

1. x < -2

2. x < -9

Step-by-step explanation:

1. x + 15 < 13

Minus 15 on both sides.

x + 15 - 15 < 13 - 15

+15 - 15 makes a 0.

x < -2

2. x + 11 < 2

Minus 11 on both sides.

x + 11 - 11 < 2 - 11

+11 - 11 makes a 0.

x < -9

Answer:

1. x < -2

2. x < -9

3. x < 15

Step-by-step explanation:

Treat the < and > symbols as an equals sign to make it less confusing to solve. Then solve for x like you normally would.

1. x+ 15 = 13

subtract 15 from both sides

x=-2, or x < -2

2. x + 11 = 2

Subtract 11 from both sides.

x=-9, or x <-9

3. 19 > x + 4

19 = x + 4

Subtract 4.

15 > x, or x < 15

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