Mathematics Middle School

In the diagram, △ABC∼△DEF. The area of △ABC is 180 square centimeters. Find the area of △DEF.

pls pls pls help me answer

In The Diagram, ABCDEF. The Area Of ABC Is 180 Square Centimeters. Find The Area Of DEF.pls Pls Pls Help

Answers

Answer 1

Answer:

20

Step-by-step explanation:

The first step is to find out the similarity reason of the sides of the triangle, so we just divide the big side by the small side (12/4=3).

Now, for the similarity reason of the areas, we just square that number (3^2=9).

Then we just divide the area of the big triangle by 9, which is 180/9= 20.

Answer 2

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The area of the △DEF is 20cm².

What are Similar Figures?

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given △ABC∼△DEF, therefore, the sides will be in a particular ratio,

Ratio = AB/DE = 12/4 = 3

Also, the area of △ABC is 180 square centimeters. since the area is a two-dimensional quantity it will be the product of two sides, therefore, the ratio will also be multiplied twice. Thus, the area of △DEF will be 1/9 of the area of △ABC. Hence, the area of △DEF is,

△DEF = △ABC/9

△DEF = 180cm²/9 = 20cm²

Hence, the area of the △DEF is 20cm².

Learn more about Similar Figures:

https://brainly.com/question/11315705

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Related Questions

1/3(3x-6)=2x please help

Answers

Answer:

-2

Step-by-step explanation:

In the picture

Answer:

x = -2

Step-by-step explanation:

1/3(3x - 6) = 2x

3x - 6 / 3 = 2x

9x - 6 = 6x

3x = -6

x = -2

Help me Guess just help please

Answers

Answer:

26

is it direct or step by step?

The correct answer is 26.

7×10 to the power of -5 in standard notation!
Please include an explanation!
Thank you!

Answers

.00007

If it is to the negative power, you live the decimal point to the left (if positive, move to the right). In the case we move the decimal point 5 places to the left of 7. This results in .00007.

It is .00007 it’s the answer

Rule for subtracting Integers: Keep, Change, Opposite.
Show the changes for subtracting integers:

1. 3 - 7
2. -4 -2
3. -4 - (-6)
4. x - 3x
5. 3 - 4x
6. -3 - (-2x)

Answers

Answer:

 -4 -6 2 -2x 3-4x 2x-3

Step-by-step explanation:

3 - 7= -4 (7 is larger so we get - sign)

-4-2=-6(we add "-" terms but they have the - sign)

-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)

x-3x=-2x(3x is larger)

3-4x=3-4x(Unlike Terms)

-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)

-4, -6, 2, -2x,

that’s all i know sorry

So sorry I really need help

Answers

Answer:

(2 x 2 x 2) x (0.03125)

Step-by-step explanation:

The answer to it is 1 over 4

Sorry for the bother help plz

Answers

Answer:

216 a^6

Step-by-step explanation:

(6a^2)^3

We know (xy)^z = x^z * y^z

6^3  * a^2^3

216 a^2^3

We know x^y^z = x^(y*z)

216 a^(2*3)

216 a^6

There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of

Answers

what’s the width? i think the question was cut off

Mind uh... Answering my question?

Answers

Answer:

12 ounces

Step-by-step explanation:

[tex]3 \div 4 \\ = 0.75 [/tex]

1 pound = 16 ouncesmultiply the mass value by 16.

[tex]0.75 \times 16 \\ = 12[/tex]

Hope it is helpful....

Answer:

12 ounces

Step-by-step explanation:

11 = 1 + 3r + 2r

I really need help with this!!

Answers

Answer:

r = 2

Step-by-step explanation:

I'm assuming we're finding r

11 = 1 + 3r + 2r

Add up the numbers with r

11 = 1 + 5r

Subtract both sides by 1

11 = 1 + 5r

-1  -1

10 = 5r

Divide both sides by the coefficient, 5, to isolate the variable, r

10/5 = 5r/5

r = 2

Step-by-step explanation:

11=1+5r

11-1=5r

5r=10

r=10/5

r=2

solve the following problem as a percent equation: 36 is 80% of what number?

Answers

Answer:

45

Step-by-step explanation:

80%= 4/5

36 = 4/5 * ?

Take 4/5 on the other side and flip it

36 * 5/4 = ?

45=?

36 is 80 percent of 45

What is the slope of the graph of y = -3x?

-1/3
1/3
-3
3

Answers

Answer:

Slope is -3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify

y = -3x

↓ Compare to y = mx + b

Slope m = -3

y-intercept b = 0

your answer would be -3 because it is the number next to x

Please help I suck at math

Answers

Answer: 12

Step-by-step explanation:

Find the difference between the first and second points.

Since the x-coordinates are the ones changing, find the difference between them.

2 - (-3)

= 5

Then find the distance between the second and the third points.

Here, the y coordinates are the only ones changing, so we subtract them/or find the distance between them.

2-(-5)

=7

Now add the distances (5+7) and you get 12.

hope this helps!!:)

Dfbhjuyy grad by Saab

I need help with these questions from 11 to 20. I already did questions 1 through 10 with my math teacher but I'm not in school so please please please answer all of these answers it would mean a lot to me and would help me a lot with the math homework I need to get done, so yeah. Please help.

Answers

Hope this helps :D

11 is 6 and 3
12 is coefficient
13 is variable
14 is 82b and 3u^2 and 7 and 41h and 54
15 is 9r and 2g
16 is exponent
17 is constant
18 is 21 and 8 and 3
19 is r and g and n
20 is a term
13 answer is
The number and element

Please check the image below for more info on the question

Answers

Answer:

The answer is A

Step-by-step explanation:

(I'm not 100% sure though, hope this helps.)

The answer is A and and t=5 please give me brainliest

Picture below maths :

Answers

Step-by-step explanation:

f(g(x))= f(2x)

f(g(x))=3+cos2x

g(f(x))=g(3+cosx)

g(f(x))=2(3+cosx)

g(f(x))=6+2cosx

where,

f(g(x))=g(f(x))

3+cos2x=6+2cosx

2cosx-cos2x+6-3=0

2cosx-cos2x+3=0

x=2pi n1+pi

n1€ z

Fill in the blanks to complete the steps and solve the equation in the image attached.

Answers

S is being divided.

What is the opposite of subtracting 5?

Move 5 to the right side.

It is being divided by 6. What is the inverse of dividing by 6.

Multiply each side by 6.

Hope this helps!! :)

The animal shelter needs to split 6 1/2 pounds of dog food equally among the 13 dogs in the facility. How much dog food will each dog receive?

Answers

Answer:

1/2 pound for each dog.

Step-by-step explanation:

Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?

You want the units to be pounds per dog or pounds/ number of dogs.

The numerator is 6.5

The denominator is dogs (13)

Food per dog = 6.5 / 13 = 1/2

1/2 for each doggo 2021

What is the coefficient of the j term in the polynomial negative 8j^ 2 + 7j - 6?

Answers

Answer:

7 is the coefficient

A coefficient is a number before a variable.

For example, in 7j, 7 is the coefficient:)

Step-by-step explanation:

7 is the coefficient of the j term

Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:


Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)

Answers

Answer:

Generally, the higher the temperature, the larger the population.

Step-by-step explanation:

The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.

the higher temperature the higher the population would be

nasa's voyager 1 rocket was able travel 1.224 x 10^5 kilometers in two hours. what is its average speed in kilometers per second?

6.12 km per sec
10.2 km per sec
17 km per sec
61,200 km per sec

Answers

Answer:

17 km/s

Step-by-step explanation:

1.224 x 10^5 = 122400

There are 7200 seconds 2 hours

122400 / 7200 = 17

17 Km/s. Step by step evaluation

30 POINTS PLS HELP
Solve for x: −7 < x − 1 < 8

A. 6 < x < 9
B. −6 > x > 9
C. 6 > x > −9
D. −6 < x < 9

Answers

The answer is D have a good day
The answer to this question is D

Please help thx and will mark as brainliest if you do it correct!

Answers

. A quadratic equation is graphed above.
Which of the following equations could be
paired with the graphed equation to create
a system of equations whose solution set is
comprised of the points (2,-2) and (-3, 3)?
Here ya go! :D (red is -5 slope with 4 y-intercept and black is the other one)

plz help, will mark brainliest!

Answers

Answer:

the answer is "B" (thank me later) ;))

Answer:

Given:- [tex]f(x)=\frac{x-3}{x+2}[/tex]

Solution:- [tex]\left(-\infty \:,\:-2\right)\cup \left(-2,\:\infty \:\right)[/tex]

So, Answer:- [tex]All \: real\: value \: of x\: such \; that \: \neq -2[/tex]

OAmalOHopeO

Help!!

What is equivalent to the expression -2x(-4 + x)

A. 8x - 4x
B. -8x + 4x²
C. -8x + 2x²
D. 8x + 2x²
E. 8x - 2x²

Answers

The answer would be 8x+-2x^2 which is E. Because you multiply -2x and -4 which cancels out to become a positive 8x, then multiply -2x and x and you would get -2x squared.
the answer for this question is e

Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 3 units in ttt corresponds to an increase of 8 units in ddd.
What is the unit rate of change of ddd with respect to ttt? (That is, a change of 1 unit in t will correspond to a change of how many units in d?)

Answers

The unit rate of change of d with respect to t is 8/3

How to graph the line?

The statement is given as:

increase of 3 units in t corresponds to an increase of 8 units in d.

This can be represented using the following ratio

t : d = 3 : 8

Express as fraction

t/d = 3/8

See attachment for the graph of t/d = 3/8

The unit rate

In (a), we have:

t/d = 3/8

Inverse both sides

d/t = 8/3

This means that:

Slope or Rate = 8/3

Hence, the unit rate of change of d with respect to t is 8/3

Read more about linear functions at:

https://brainly.com/question/4025726

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help. . . . . . . . . . .

Answers

Answer:

I belive the slope will equate to 3/1 x

Step-by-step explanation:

3/1 is the answer of the equation

Plsss help I will give brainliest!!!!

Answers

Answer:

ans is 4 I am dam sure please like me ,

Answer:

I think 4 is the answer

have a great day

God bless you

Always be happy

Never be sad

Sad is bad you

Know that

please brainlist

Mrslenbox

write an equation that equals 6 that isnt basic addition, subtraction, multiplcation, or division​

Answers

Answer:

(3² - 3) + (0x 2)

Step-by-step explanation

(3^2 - 3) would be one answer

If In a = 2, In b = 3, and Inc = 5, evaluate the following:
(a) In
(b) In V63c4a-2
(c)
In(a+b-3)
In(be)"
3
(d)

Answers

here you are!!!!!!!!!!!!!!

Answer:

-20/343

Step-by-step explanation:

HELP HELP HEL[P HELP HELP HELP HELP

sorry about the wrong file



write the answer in the comments section

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

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