Plzzzzzz helppppp meeee !!!

ABC is similar to FED. Answer the questions to find the length of DF.


1. Which side in AFED does AB in AABC correspond to?


2. Which side of FED does CB in ABC correspond to?


3. Which side of FED does AC in the ABC correspond to?


4. What scale factor was used in the dilation of ABC to FED? Explain how you found the scale factor.


5. What is the length of side DE? Show how you found the length.


6. Use the Pythagorean theorem to find the length of side FD. Show your work.

Answers

Answer 1

Answer:

Corresponding side of AB is FE

Corresponding side of CB is DE

Corresponding side of AC is FD

[tex]k =2[/tex]

[tex]DE = 6[/tex]

[tex]FD=10[/tex]

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex] and [tex]\triangle FED[/tex]

See attachment for triangles

Solving (a): Corresponding side of AB

Going by the names of the triangle, the corresponding sides are:

AB and FE; CB and DE; AC and FD

Hence, the corresponding side of AB is FE

Solving (b): Corresponding side of CB

This has been solved in (a) above.

The corresponding side of CB is DE

Solving (c): Corresponding side of AC

This has been solved in (a) above.

The corresponding side of AC is FD

Solving (d): Scale factor from ABC to FED

To do this, we simply divide the lengths of corresponding sides.

The scale factor k is:

[tex]k = \frac{FE}{AB}[/tex]

[tex]k = \frac{8}{4}[/tex]

[tex]k =2[/tex]

Solving (e): Length of DE

We make use of the scale factor calculated in (d) above

[tex]k = \frac{DE}{CB}[/tex]

[tex]2 = \frac{DE}{3}[/tex]

[tex]DE = 2 * 3\\[/tex]

[tex]DE = 6[/tex]

Solving (f): Length of FD

Using Pythagoras:

[tex]FD^2 = DE^2 + EF^2[/tex]

[tex]FD^2 = 6^2 + 8^2[/tex]

[tex]FD^2 = 100[/tex]

[tex]FD = \sqrt{100[/tex]

[tex]FD=10[/tex]

Plzzzzzz Helppppp Meeee !!!ABC Is Similar To FED. Answer The Questions To Find The Length Of DF.1. Which

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Step-by-step explanation:

Sum of all the Arcs of a circle = 360.

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Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree. Step 2 of 2 : Consider that 139 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree? Enter a fraction or round your answer to 4 decimal places, if necessary. Answer

Answers

Answer:

[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

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In this question:

Event A: Has a graduate degree.

Event B: Has over 10 years of experience.

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This means that:

[tex]P(A) = \frac{159}{469}[/tex]

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[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

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Explain how solving -4x < 24 is different from 4x< 24.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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When the circle is filled in it means greater than or equal to or less than or equal to depending on which way its going.

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Answer

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Step-by-step explanation:

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I’d like to think ... that the answer is 18 it seems to be the same length as the line labeled 18 as well

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Answer:

Step-by-step explanation:

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tom eats 18.7% of his candy he has 300 pieces of candy how much candy does tom have left

Answers

Answer:

He has 244 left

Step-by-step explanation:

18.7% = 0.187

300(0.187) ≈ 56

300 - 56 = 244

What is the midpoint of a segment with endpoints at (-4, -8) and (8,10)

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Answer: 21.625

Step-by-step explanation:

The percentage of 21 (5/8)% in decimal form is 173/800.

We have,

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The given percentage expression.

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21(5/8) / 100

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173/8 / 100

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okay! thank you so much for the awarness!
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⬇ Hey bud! I really respect you because you need the answer. Anyways, the answer will be down below! :) ⬇

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Step-by-step explanation:

(0.20)(15) + 0.20x = 6

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x = 15

Rob's Iunch was $15.

Check it:  

15+15=30  

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Answer:

Im not so sure about the answers that i picked if you want to use them use them

Step-by-step explanation:

y=13-2x^2

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Answer:

4050 cubic feet.

Step-by-step explanation:

Let's first find the volume of the green cube. It is the edge length cubed, or 15^3 which equals 3375.

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Multiply 225 by the height 9,

225*9=2025

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2025/3=675.

Knowing the volume of the green cube, 3375, and the volume of the brown pyramid, 675, we can find that the volume of the entire figure is

3375 +675=4050 cubic feet.

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Answer:

No, it is not a valid way

Step-by-step explanation:

Required

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Susie's method worked because 4 & 7 and 3 & 5 do not have a common factor.

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2. write the probability that customers will buy chocolate ice cream with sprinkles.

3. probability customers with vanilla given they get sprinkles

4. Are the two options strawberry and sprinkles associated

Answers

To calculate the probability that customers will buy chocolate ice cream with sprinkles, we need to consider the number of customers who bought chocolate ice cream with sprinkles and divide it by the total number of customers who got sprinkles.

From the information given, 5 customers got sprinkles in total, and out of those 5, 4 customers got chocolate ice cream.

The probability that a customer will buy chocolate ice cream with sprinkles is 4/5 or 0.8.

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Answers

Answer:

100[tex]\pi[/tex] (or about 314)

Step-by-step explanation:

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Answers

Answer:

3.125%

0%

Step-by-step explanation:

A regular coin has two sides, meaning that each side has the same probability of landing which is 50%. Therefore, for the game to end exactly on the fifth flip it would need to land 3 times in a row on tails and the last 2 times on heads. Therefore, to get this probability we need to multiply 0.50 (50%) 5 times

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Part(a): The probability that the game ends by flipping exactly five coins is [tex]0.5[/tex]

Part(b):  The probability that three heads appear in the sequence is [tex]0.5[/tex].

Probability:

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. How likely they are to happen, using it.

Part(a):

The Probability of games ends by flipping exactly five coins is,

[tex]P((TTTHH),(HTTHH),(THTHH),(HHTHH))=(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4[/tex]

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[tex]P(H)=\frac{1}{2}[/tex]

P(game ends by flipping exactly five coins)=[tex]\frac{2^2}{2^5} =0.125[/tex]

Part(b):

The Probability of games ends by flipping exactly three heads is,

[tex]\frac{2(1-p)^2p^3}{(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4}[/tex]

Where [tex]p=P(H)[/tex]

When [tex]p=0.5[/tex] then the above probability is [tex]0.5[/tex]

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the X would be 9! because of that and this

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Answer:

x=158

Step-by-step explanation:

109=-x+267

-267     -267

-158=-x

x=158

(also i noticed part of your question says x=(?)*5 and 31.6*5 is 158 so that would be 31.6)

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Answer:

3.14, radius of this circle is 1 and 1^2 is 1 and 1x3.14 is 3.14

Step-by-step explanation:

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Answers

It's 200.04 dag

blah blah

Answer:

0.240kg

Step-by-step explanation:

the reason for this is because my teacher taught me this:

KHDMDCM

       L

       G

so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg

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Answer:

Option D vertical angles is your answer ☺️☺️

Answer:

Vertical angles

Step-by-step explanation:

∠WTU and ∠STZ are opposite each other; hence they are vertical angles.

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42 × 32 × 22

42 + 32 + 22


24 × 23 × 22


24 + 23 + 22

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Answer:

4(2 on top) + 3(2 on top) + 2(2 on top)

Step-by-step explanation:

How many cubes with side length of 1/3 cm does it take to fill the prism?​

Answers

9514 1404 393

Answer:

  120

Step-by-step explanation:

The dimension across the front in terms of cubes is ...

  5/3 cm = 5×(1/3 cm) = 5 cubes

The front-to-back dimension in terms of cubes is ...

  4/3 cm = 4×(1/3 cm) = 4 cubes

The height in terms of cubes is ...

  2 cm = 6×(1/3 cm) = 6 cubes

Then the volume in terms of cubes is ...

  V = LWH = 5×4×6 = 120 cubes

It will take 120 cubes to fill the prism.

Choose the sets of equivalent expressions (select all that apply)

A. 4x and 5 + x

B. 2b + b and 3b

C. 3x and 3 + x

D. a ÷ 1/3 and 1/3 a

E. a ÷ 1/3 and a × 3

F. 1a and a

Answers

9514 1404 393

Answer:

  B, E, F

Step-by-step explanation:

A. 4x and 5 + x

B. 2b + b and 3b

C. 3x and 3 + x

D. a ÷ 1/3 and 1/3 a

E. a ÷ 1/3 and a × 3

F. 1a and a

_____

Comment on the above

ax is multiplication of x by 'a'. a+x is addition. They are different operations.

x/(1/3) is not the same as x(1/3). Multiplication and division are different operations.

Find the distance between the points ( – 4,10) and (8,10).

Answers

Answer:

12 units

Step-by-step explanation:

(-4 , 10)  ;  [tex]x_{1} = -4[/tex]   and  [tex]y_{1} = 10[/tex]

(8 ,10)  ;    [tex]x_{2} = 8[/tex]      and  [tex]y_{2}= 10[/tex]

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

              [tex]= \sqrt{(8-[-4])^{2}+(10-10)^{2}}\\\\=\sqrt{(8+4)^{2}+0}\\\\= \sqrt{12^{2}}\\\\= 12 units[/tex]

In a certain school, there are 4 girls for every 5 boys. If there are 560 girls in the school, how many boys attend school?​

Answers

Answer:

700

Step-by-step explanation:

4girls=5boys

560girls=?

560*5/4

=700boys

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