Mathematics High School

Triangle EFG is rotated and dilated by a scale factor other than 1 to create triangle E'F'G'. Do triangle EFG and triangle EFG' have the same area? Justify your answer.
Respond in the space provided.

Triangle EFG Is Rotated And Dilated By A Scale Factor Other Than 1 To Create Triangle E'F'G'. Do Triangle

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

it was just rotated not dilated

Answer 2

The area of triangle ΔEFG changes after rotation and dilation.

What is Scale factor?

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Suppose the scale factor is k for the dilation of triangle.

Now, new dimensions of ΔE'F'G' is k times the dimension of ΔEFG.

Area of triangle ΔEFG = 1/2 × b × h

Then, triangle area for ΔE'F'G' = 1/2 × kb × kh = k²(1/2 × b × h)

Thus, the area becomes k² times.

Hence, the given triangles ΔEFG and ΔE'F'G' do not have the same area.

To know more about scale factor click on,

https://brainly.com/question/29464385

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Related Questions

HELP PLEASE (special right Triangles)

Answers

Step-by-step explanation:

I might not get you all correct

Pls help!!!

1. Solve for w
21+2w=p
Answer will be w=-L+p/2


2. Solve for a
b-2a=c
The answer will be a=c-b/-2 or b-c/2

I know I have the answers but I need the work for it I’ll mark you brainliest

Answers

i can help but where’d the L come from in number 1

here 2 though.

b-2a=c
subtract b from both sides which gives you -2a=c-b
divide both sides by -2 to get a alone which gives you a=c-b/-2

Plz help me with my math

Answers

Answer:

D I believe

Step-by-step explanation:

if it's going by negative values and positive values then -6 is the lowest and 9 is the highest

Answer:

D

Step-by-step explanation:

Least to greatest means from smallest to largest in simple terms.

So, -6, -4, -2, 2, 5, 9

Solve for x: 7x + 3 =2x +13

Answers

Answer:

x = 2

Step-by-step explanation:

7x + 3 = 2x + 13

Get all the x on the same side: 7x - 2x = 13 - 3

Subtract: 5x = 10

Divide both sides by 5 to get x = 2.

Plug the found value of x back in to check the answer: 7(2) + 3 = 2(2) + 13

Multiply: 14 + 3 = 4 + 13

Add: 17 = 17

This verifies that x = 2.

Step-by-step explanation:

[tex]7x+3=2x+13\\7x-2x=13-3\\5x=10\\x=2[/tex]

what is the slope intercept form of the equation of the line shown in the graph​

Answers

Answer:

y=2x+1

Step-by-step explanation:

Are the two expressions in the equation 2b + 5 + 1b = 3b + 5 equal or equivalent? How do you know

Answers

Given:

The expression is

[tex]2b+5+1b=3b+5[/tex]

To find:

Whether the two expression in the equation are equal or equivalent.

Solution:

If two expression are exactly the same, then they are equal and if the two expressions are different but the after simplification both are same, then they are called equivalent expressions.

We have,

[tex]2b+5+1b=3b+5[/tex]

Taking LHS, we get

[tex]LHS=2b+5+1b[/tex]

On combining liker terms, we get

[tex]LHS=(2b+1b)+5[/tex]

[tex]LHS=3b+5[/tex]

[tex]LHS=RHS[/tex]

In the given equation both expression are different but after simplification LHS = RHS, therefore the expression are equivalent not equal.

solve this please pleaee maths question pleade​

Answers

son is 17 mother is 41

Use the Law of Sines to write an expression that represents angle measure x.

Answers

Answer:

  x° = arcsin(15.5/26.9×sin(73°))

Step-by-step explanation:

The law of sines tells you the sine of an angle is proportional to the length of the opposite side:

  sin(x°)/15.5 = sin(73°)/26.9

  sin(x°) = (15.5/26.9)sin(73°) . . . . . multiply by 15.5

Using the inverse function, we can find x.

  x° = arcsin((15.5/26.9)sin(73°))

6. Belle wants to find out the average of her test scores in Algebra. What is her average test score if she did 95, 88, 93, 80, 78, 82?​

Answers

Answer:

86

Step-by-step explanation:

add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86

I believe the answer is 86

Add all the numbers then divide the sum by 6

A package designer wants the hexagonal base of a hat box to have an area of

about 200 in.2. About how long is each side?

Answers

Answer:

About 9inches long

Step-by-step explanation:

Area of a hexagon = 3√3/2 a²

a is the length of each side

Given

Area of the hexagon = 200in²

Substitute

200 = 3√3/2 a²

200×2 = 3√3 a²

400 = 3√3a²

a² = 400/3√3

a² = 400/5.196

a² = 76.982

a = √76.982

a = 8.774

Hence the length of each side is about 9inches long (to nearest inches)

PLZZ HALPMMELOL PLZZ it’s due 20 min

Answers

Answer: They ate 5/8 of the salad

Step-by-step explanation: If you have 3/8 and add 2/8 you don't have to change the denominator, so you just add the numerators together.

Step-by-step explanation:

they ate 5/8 salad

3/8+ 2/8 = 5/8

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful.

PLZ HELP ME I NEED THE ANSWER ASAP

Answers

answer:

153.94cm²

Step-by-step explanation:

<3

Which of x- values are solutions to the following inequality?​

Answers

Answer:

A and B

Step-by-step explanation:

54 , 89

please help me

find the value of x
x=​

Answers

Answer:

180-120+x-5+x+5=180

60+2x=180

2x=120

x=60

X=60 is the answer ....!!!!!!

helppppppppppppppppppppppppp

Answers

Answer:

768

Step-by-step explanation:

Its a geometric sequence

multiply by 4 each time:

3*4=12*4=48*4=192*4=768*4=3072

Answer:

the answer is 768.

Step-by-step explanation:

3 x 4 = 12

12 x 4 =48

48 x 4 = 768

768 x 4 = 3,072

Rewrite the equation y - 3 = 23(x - 2) in standard form.
Write your answer using integer coefficients.

Answers

Answer:

I believe it would be y-3=23x-2

Sam measured his foot to be 11 inches long, but it was actually 11.5 inches
What is the percent error?

Answers

Answer 0.5/11.5=.0455

(6,3) -> (-3/2x , 2/3y) -> (x + 6 , y - 4) -> (2/3x , -3/2y)
After these series of transformations, what will the final point be?

Answers

Answer:

Please refer to the attached image.

Can someone please help?!?!?!?!

Answers

Slope = Rise of y (up or down) / run of x (left or right)
So 160/200 equates to 4/5
The slope is 4/5

need help it is math

Answers

Answer:

what do u need my guy 0899

Answer:

The mean is 82.727272727273 rounded 83

Step-by-step explanation:

You add all the numbers:

40 + 75 + 80 + 80+ 81 + 84 + 88 + 90 + 92 + 100 + 100= 910

You divide that result by the total of numbers to add, in this case 11

910/11= 82.727272727273

To round any number, consider that if it is 5 or above it you can round it to the nearest hundred.

Just in case

MODE: 100, 80

MEDIAN: 84

Solve the inequality.
12
%-
>8-2%
O A. x>3
O B. x>
O C. >> 23
O D. x>-

Answers

Its c because I don’t know I just feel like it’s c

a bag of trail mix is 4lbs. by weight, 36% is oats.

what is the weight of the oats in the trail mix?

Answers

Answer:

1.44 lbs is from the oats

Step-by-step explanation:

Convert 36% to a decimal by dividing by 100, = 0.36

Multiply that by the 4 lbs of trail mix.
4 x 0.36 = 1.44 lbs

Help I will be marking brainliest!!!

A. 241 ft
B. 358 ft
C. 258 ft
D. 341 ft

Answers

Answer:

c. is the correct answer

mark me as brainlist

complete the description of how to model -4x + 6 = 23

you would use a _______ negative a variable tiles and _______ +1- tiles on one side of a line and ______ +1 - tiles on the other side to represent the equation negative -4x + 6 = 23 with algebra tiles.
HELP ME ASAP WITH THIS MATH QUESTION PLEASE!​

Answers

Well I will put an example but the easiest way

Expanding-

When u ex and

What is f(3) if f(x) = - 4x+1 ?
A.-44
B.-11
C. 1/2
D. 13

Please help me! :/

Answers

Answer:

Here is the equation:

f(x)=4x+1f(x)=4x+1

You need to find f(3). To do that, substitute all the x's with 3:

f(x)=4x+1 \rightarrow f(3)=4\times3 + 1f(x)=4x+1→f(3)=4×3+1

The first thing you need to do is multiply 4 by 3. Multiply:

4 \times 3 = 124×3=12

Here is your new equation:

f(3)=12+1f(3)=12+1

To get your answer, you need to add 12 and 1. Add:

12+1 = 1312+1=13

That means:

\bf f(3)=13f(3)=13

Step-by-step explanation:

13 is the ans

10-x≤35 someone help me how tot explain this to someone

Answers

Answer:

e

Step-by-step explanation:

A recipe for cookies calls for 23 of a cup of sugar per batch. Elena used 513 cups of sugar to make multiple batches of cookies. How many batches did she make?

Answers

Answer:

I don't know, sorry sweetie

Step-by-step explanation:

You do the work yourself x

Amy plays video games for exactly 20 minutes each day for two months. If each month had 31 days, how many minutes will she play video games?

Answers

Answer:

620

Step-by-step explanation:


how many more pairs of parallel sides does a regular octagon have than a regular octagon have than a regular hexagon

Answers

A regular hexagon has 3 pairs of parallel sides. A regular octagon has 4 pairs of parallel sides. Hope this helps :))

Please help !!!!!! thanks

Answers

Answer:

an american football field measures 100 yards long between the endzones,and is 53 1/3 yards wide.is the length of the diagonal across this field more or less than 120 yards . what is the value rounded to the nearest tenth of a yard

Step-by-step explanation:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

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