the question is

"Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units. find the unknown side lengths.



would be useful if you had an explanation on how you got the answer thanks this is my hw need it done by 3pm today ​

The Question Is"Triangles ABC, EFD, And GHI Are All Similar. The Side Lengths Of The Triangles All Have

Answers

Answer 1

The unknown side lengths are

Large triangle 10

Medium triangle 2

Small triangle 12/5 or 2.4

Step-by-step explanation:

EFD to ABC is 0.4 or 2/5

EFD to GHI is 0.24 or 6/25

ABC to GHI is 0.6 or 6/10

Answer 2

The side length of c is  2.

The side length of d is 10.

The side length of e is 10.

The side length of h is  2.4.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangles ABC, EFD, and GHI are all similar.

The side lengths of the triangles all have the same units.

This means,

The ratio of the corresponding sides of the two triangles is the same.

Now,

ΔABC and ΔGHI

4/(12/5) = 4/h = c/ (6/5)

20/12 = 4/h = 5c/6

We will consider 20/12 = 4/h.

20/12 = 4/h

5/12 = 1/h

h = 12/5

h = 2.4

We will consider 20/12 = 5c/6

20/12 = 5c/6

4/2 = c

c = 2

Now,

ΔABC and ΔEFD

4/e = 4/d = c/5

4/e = 4/d = 2/5

Consider 4/e = 2/5

4/e = 2/5

2/e = 1/5

e = 10

Consider 4/d = 2/5

4/d = 2/5

2/d = 1/5

d = 10

Thus,

The side length are:

c = 2

d = 10

e = 10

h = 2.4

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Related Questions

Phone Company 1 charges a flat rate of $25.00 a month for local calling,
and $0.05 per minute for each long distance call. Phone Company 2
charges a flat rate of $20.00 a month for local calling, and $0.10 per
minute for long distance calling. After how many minutes of long distance
calling do the phone companies charge an equal amount?
A 50 minutes
B. 100 minutes
C. 200 minutes
D. 300 minutes

Answers

Answer:

B = 100

Step-by-step explanation:

25 + .05x = 20 + .10x

5 = .05x

100 = x

I WILL GIVE BRAINLIEST FOR WHOEVER ANSWERS FIRST AND CORRECTLY!! The sum of Ellie's age and Genya's age is 60. In six years Genya will be eight times as old as Ellie. How old is Ellie now?

Answers

Ellie is 5
If genya is 60 now you add t 6 to 60= 66 you can divide that by 6 = 11-6=6

HELP!!!!
Is there enough information to prove that the triangles are congruent?

If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.

If no, justify your answer.

Answers

Yes because if you rotated the triangle where “B” and “Z” are the same point the rest of the triangle will line up. Don’t take my word for it I’m not even sure I’m just making a guess by what I can see if that makes sense you can double check but hopefully this is useful :)

Select all the lines that have a y-intercept of -2.
-2 +4x = y
-2x + 2 = y
y = -2x + 1
y = -2x - 2

Answers

Answer:

y=-2x+1

Step-by-step explanation:

Answer:

I think its the second and fourth one

Sarah is a computer engineer and manager and works for a software company. She receives a

fixed annual increase in the number of projects she handles each year. She worked on 129

projects in the fourth year of her employment and 207 projects in her tenth year.

(a) How many projects did Sarah work on in her first year?

(b) If a project pays her $500 on average,

I. How much did she earn in her twelfth year?

II. How much did she earn in total in her first 12 years with the company

Answers

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = [tex]a[/tex]

Given that:

[tex]a_4=129\\a_{10}=207[/tex]

Formula for [tex]n^{th}[/tex] term of an Arithmetic Progression is given as:

[tex]a_n=a+(n-1)d[/tex]

Where [tex]d[/tex] will represent the number of projects increased every year.

and [tex]n[/tex] is the year number.

[tex]a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)[/tex]

Subtracting (2) from (1):

[tex]78 = 6d\\\Rightarrow d =13[/tex]

By equation (1):

[tex]129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90[/tex]

Number of projects in the first year = 90

b)

Number of projects in the twelfth year =

[tex]a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233[/tex]

Each project pays $500

Earnings in the twelfth year = 233 [tex]\times[/tex] 500 = $116500

Sum of an AP is given as:

[tex]S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938[/tex]

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 [tex]\times[/tex] 1938 = $969000

which system of equations intersect at point A in this graph y = 10x - 1
y=-3x - 5
y = 4x + 9
y=-3x - 5
y = 2x + 5
y=x-1
y = 2x + 5
y = 5x + 11
y = 3x + 7
y=-x-1

Answers

Answer:

y = 4x + 9, y = -3x - 5

y = 2x + 5, y = 5x + 11

and y= 3x + 7, y = -x - 1

I just did this on Plato/Edmentum xD

The system of equations that intersect at point A = (-2, 1) is:

y = 4x + 9

y = -3x - 5

y = 2x + 5

y = 5x + 11

y = 3x + 7

y = -x - 1

We have,

Let's substitute the coordinates (-2, 1) into each equation to find the correct system of equations:

y = 10x - 1

Substituting (-2, 1):

1 = 10(-2) - 1

1 = -20 - 1

1 = -21 (Not satisfied)

y = 4x + 9

Substituting (-2, 1):

1 = 4(-2) + 9

1 = -8 + 9

1 = 1 (Satisfied)

y = -3x - 5

Substituting (-2, 1):

1 = -3(-2) - 5

1 = 6 - 5

1 = 1 (Satisfied)

y = 2x + 5

Substituting (-2, 1):

1 = 2(-2) + 5

1 = -4 + 5

1 = 1 (Satisfied)

y = x - 1

Substituting (-2, 1):

1 = -2 - 1

1 = -3 (Not satisfied)

y = 5x + 11

Substituting (-2, 1):

1 = 5(-2) + 11

1 = -10 + 11

1 = 1 (Satisfied)

y = 3x + 7

Substituting (-2, 1):

1 = 3(-2) + 7

1 = -6 + 7

1 = 1 (Satisfied)

y = -x - 1

Substituting (-2, 1):

1 = -(-2) - 1

1 = 2 - 1

1 = 1 (Satisfied)

Thus,

The system of equations that intersect at point A = (-2, 1) is:

y = 4x + 9

y = -3x - 5

y = 2x + 5

y = 5x + 11

y = 3x + 7

y = -x - 1

Learn more about equations here:

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whats 7 7/8 + 8 7/6​

Answers

Answer:

15.4

Step-by-step explanation:

rounded its 15

Add.
7/8 + 5/6
solve step by step and give me a good explanation and then i will mark you brainliest

Answers

Answer:

Step-by-step explanation: first you add the top number which is 7 + 5=12 then you add the below numbers which is 6+8= 14 so the answer is 12/14

Answer:

7/8 x 5/5 = 40/35     5/6 x 8/8 =48/35 = 1 and something

Step-by-step explanation:

e

Mark brainliest and plz show your work!

Answers

Answer:

Step-by-step explanation:

11/12+10-5/6

take 12 as lcm

11+120-10)/12

121/12

9514 1404 393

Answer:

  121/12

Step-by-step explanation:

  [tex]\dfrac{11}{12}-(-10)-\dfrac{5}{6}=\dfrac{11}{12}+10-\dfrac{5}{6}\quad\text{eliminate parentheses}\\\\=\dfrac{11}{12}+\dfrac{120}{12}-\dfrac{10}{12}\quad\text{use common denominator}\\\\=\dfrac{11+120-10}{12}=\boxed{\dfrac{121}{12}}\qquad\text{combine terms}[/tex]

Segment GH underwent a sequence of two rotations around the same center. The original length of GH is 7 meters. What is the length of the segment after the sequence of rotations?

Answers

Answer:

[tex]GH = 7\ meters[/tex]

Step-by-step explanation:

Given

[tex]GH = 7\ meters[/tex]

Required

Length of GH after two rotations

In transformations, when a point, shape, line or line segment is rotated; the orientation and location of the point, shape, line or line segment change.

However, the length of the point, shape, line or line segment remains the same.

This is to say that:

After line segment GH is rotated twice, its length will remain unchanged.

Hence:

[tex]GH = 7\ meters[/tex]

HELP ME! THIS IS DUE IN 20 MINUTES

Answers

Use elimination method
(2x + 3y = 6)2
4x + 6y = 12
-4x + 3y = 12
Now add both
9y = 24, y = 24/9 = 8/3
2x + 3(8/3) = 6
2x + 8 = 6
2x = -2, x = -1
Finale answer: x = -1, y = 2 2/3
A. Would be the correct answer

What's the answer to this?

Answers

Answer:

3 the answer is 3

Step-by-step explanation:

Please help me with this

Answers

Answer:

B.  $19

Step-by-step explanation:

Approximate prices:

1/4 lb ham = 0.25 * $6 = $1.50

1 1/2 lb turkey = 1.5 * $5 = $7.50

1 lb roast beef = $7

3/4 lb bologna = 0.75 * $4 = $3

Add the approximate individual prices:

$1.50 + $7.50 + $7 + $3 = $19

~Worth 15 points and brainliest❤️☮️~

Which section (A or B) of the roller coaster shows
positive acceleration?

Which section (A or B) of the roller coaster shows
negative acceleration?

Answers

Answer:

A

B

Step-by-step explanation:

Answer:

a

then

b

Step-by-step explanation:

230% of some number is 48.2. what is the number?

Answers

230% of some number is 48.2. What is the number? The number is 46

Need help ASAP!!!!!!!!

Answers

Answer:

y=35

x=27.8

Step-by-step explanation:

Hi, this is Coco Quinn and I would love to mark you the brainiest if u answer my question it's 56 points!!!

Answers

Answer:

i cant see the picture it very small

Step-by-step explanation:

Answer:

I can't see it. It's too small

Step-by-step explanation:

help me with this pleaseee

Answers

C, the remainder is 16.

f(x) = -2x^2 - 10x what is f(-5)

Answers

Answer:

your answer would be 0

Step-by-step explanation:

0 probabyyyyyyyyyyyyy

Find each percent increase or decrease to the nearest percent. From 14 books to 40 books.

Answers

Answer:

I believe the answer is 185.714% increase

Step-by-step explanation:

hoep this helps!

Astorepays$55foracoat.Thestoremarksupthepriceby40%.Whatistheamountofthemark-up?

Answers

put spaces when you right the question please, i can't help when all i see is the questions words mashed up together.

The price of the coat after a 40% increase in price will be $77.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A store pays $55 for a coat. The store marks up the price by 40%. Then the marked price is calculated as,

P = $55 x (1 + 0.40)

P = $55 x 1.40

P = $77

The price of the coat after a 40% increase in price will be $77.

More about the percentage link is given below.

https://brainly.com/question/8011401

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Madison has lemons and papayas in a ratio of 3:22 how many papayas does she have if she has 12 lemons

Answers

She would have 88 papayas if she had 12 lemons

Can someone help me? Please and thank you! <3

Answers

Answer:

I think it would be 40?

Step-by-step explanation:

I think 40 because if I recall correctly, to find the range you must subtract the max from the min, the max being 100 and the min being 60 in this case.

which pizza place has the best starting salary ?

Answers

Answer:

believe the blue one

Step-by-step explanation:

Answer:

Bombinos

Step-by-step explanation:

So I added the extra money per pizza delivered and his actual salary for each of the Bombinos was $58.50 Little squeezers was $51 and pizza tent was 54.75

pleas help I need help with these two! right answers only please asap! will give brainliest to person who explains !

Answers

For question 4: you have to do (y2 - y1) divided by (x2 - x1) to get the rise over run...

5-2
——. = 3/4
11 - 7


For question 5: input the values of x,y and the gradient into the equation of a line.....

y = mx+ c

-8 = 3(-2) + c

-8 = -6 + c

-2 = c

therefore:

y = 3x - 2

Hope this helps! Any questions let me know :)


Answer:

4 is c; 5 is a

Step-by-step explanation:

Given points for 4: (7, 2), (11, 5)

Given info for 5: (-2, -8); slope of  3

point-slope formula: y2 - y1 = m(x2 - x1)

Plugging in points: 5 - 2 = m(11 - 7)

Now we solve for m.

3 = m4

Final step: divide both sides by 4

Answer: m = 3/4

Second equation!

Plug into point-slope formula: y + 8 = 3(x + 2)

Distributive property of equality to eliminate parentheses

y + 8 = 3x + 6

Get y by itself by subtracting 8 to both sides

y = 3x - 2

After riding a bike for 20 min you burn 190 calories. If you ride the bike for 45 minutes how many calories will you burn? Use a proportion to solve.

Answers

Multiple 20 times 45 and you get 900

The area of sector NMK is 7.8cm2. Find the radius of circle M.

Answers

Answer:

the radius should be 36

Step-by-step explanation:

If you have 6 candy bars and and you cut it in half 3 times what is the quotient.​

Answers

Answer: 48

Step-by-step explanation:

I’m pretty sure

Answer:

24 pieces

Quotient: 2

Step-by-step explanation:

This is the answer because:

1) If you cut one candy bar into half three times, there will be 4 pieces.

2) Then, just multiply 6 and 4 together to know how many pieces there are together:

6 x 4 = 24

Therefore, the answer is 24 pieces.

3) In order to find the quotient, just divide 6 and 3:

6 ÷ 3 = 2

Therefore, the quotient is 2.

Hope this helps! :D

how far away would you need to place the ladder​

Answers

Answer:

Step-by-step explanation:

far away

Answer:3 inches

Step-by-step explanation:

Hans cell phone plan cost $200 to start. Then there is a $50 charge each month. Graph

Answers

The answer will be 400
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