Triangle ABC is similar to DEF. Which proportion can be used to find the length of DE in centimeters?

Answers

Answer 1

Answer:

[tex]\frac{DE}{4} = \frac{9}{3}[/tex]

[tex]DE = 12[/tex]

Step-by-step explanation:

Given

See attachment for triangles ABC and DEF

Required

The proportion to find DE

To solve for DE, we can make use of the following equivalent ratios;

[tex]AB:DE = BC:EF[/tex]

Substitute values for AB, BC and EF

[tex]4:DE = 3:9[/tex]

Express as fractions

[tex]\frac{DE}{4} = \frac{9}{3}[/tex]

The above is the proportion to solve for DE

Solving further:

[tex]\frac{DE}{4} = 3[/tex]

[tex]DE = 4 * 3[/tex]

[tex]DE = 12[/tex]

Triangle ABC Is Similar To DEF. Which Proportion Can Be Used To Find The Length Of DE In Centimeters?

Related Questions

Hong reads 7 1/2 chapters in 3 1/8 hours.

Answers

So what is the question?

What is 714.29+98.65

Answers

The answer is 812.94

Answer:

812.94

Step-by-step explanation:

make sure to line up the decimal to each other to make sure the decimal is in the right place

Which of the rectangular boxes shown has the greater volume?
A. The green box.
B. The purple box.
C. They have equal volumes.
D. There is not enough information to tell.

Answers

Answer:

C

Step-by-step explanation:

volumes are width x height x length

4 x 2 x 2 = 16

8 x 2 x 1 = 16

I need help and fast

Answers

B it is B not c or a it is b

The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared

Answers

Answer:

[tex]b_1 \approx 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Step-by-step explanation:

Given

[tex]Area = 65cm^2[/tex] --- Area of the triangle

[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid

The missing parameters is:

[tex]h=6 cm[/tex] --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]

So, we have:

[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]

Substitute[tex]b_2 = 2b_1[/tex]

[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]

[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]

[tex]65 = 3b_1 * 3[/tex]

[tex]65 = 9b_1[/tex]

Solve for [tex]b_1[/tex]

[tex]b_1 = \frac{65}{9}[/tex]

[tex]b_1 \approx 7.2[/tex]

Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]

[tex]b_2 \approx 2 * 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Which of the following equations represents this statement

Answers

Answer: 5n = 35

Step-by-step explanation:

The product of a number n and the number 5 is 35. This statement can be formed into an equation as:

n × 5 = 35

5n = 35

The equation is 5n = 35

If we want to get the value of the number, it'll be:

5n = 35

n = 35/5

n = 7

The number is 7

MARKED BRAINLIEST!!!

Answers

Answer:

(3,-4)

Step-by-step explanation:

Sorry if it is wrong

The run is 2 rise is 3

What does it mean when we refer to Jesus as being a person who proved to be “Counter-Cultural?”

Answers

It means you are a certain kind of Buddha’s


Question 2
Use pythagroean theorem to find the value of the missing side. Leave answers in simplest radical form.

Answers

Answer:

C

Step-by-step explanation:

a^2 + 49 = 169

     -49          - 49

        a^2 = 120

√120 = 2√30

Alice is a good gambler and always knows when to stop. Suppose in a game, in each round she has a winning probability of 0.8 and she will stop at the first loss. Try to find the upper bound on the probability that she can win at least 10 rounds using Markov's inequality.

Answers

Answer:

The answer is "0.500".

Step-by-step explanation:

The chance that round will be won, [tex]P (win) =0.8[/tex]

The likelihood of losing round by complementary law

[tex]P(loss) = 1 -P(win)\\\\[/tex]

            [tex]=1-0.8\\\\=0.2\\\\[/tex]

Let X be the number of rounds to the first loss played.

Here, [tex]X \sim Geometric (p=0.2)[/tex]

The PMF of X is the following:

[tex]P(X=x)=p(1-p)^x\\\\[/tex]

        [tex]=(0.2)(1-0.2)^x\\\\=(0.2)(0.8)^x, \ \ \ \ \ x=1,2,.....[/tex]

The mean of X is the geometric random variable property, [tex]E(X) =\frac{1}{P}= \frac{1}{0.2}=5\\\\[/tex]

Markov's Inequality:

Suppose X is any random variable that has no negatives. So,

[tex]P(X \geq s)\leq \frac{E(X)}{s} for s >0\\\\[/tex]

Find the upper bound of [tex]P (X \geq 10)[/tex]

[tex]P(X \geq 10) \leq \frac{E(X)}{10}[/tex]

                 [tex]=\frac{5}{10}\\\\=\frac{1}{2}\\\\=0.5\\\\[/tex]

 The highest probability is, therefore, that Markov's inequality will win at least ten rounds: 0.500

what is the hypothesis of a triangle with a base of 11cm and height of 9cm

Answers

Answer:

14.21 cm

Explanation:

you mean the hypotenuse* lol

the hypotenuse = √(11²+9²)

the hypotenuse = √(121+81)

the hypotenuse = √(202)

the hypotenuse ≈ 14.21 cm

Ashley is attending a hockey game that consists of 3 periods. If it is halfway through the third period right now, what fractional part of the game is left?

Answers

Answer:

[tex]\frac{1}{6}[/tex] of the game is left.

Step-by-step explanation:

A hockey game has 3 periods.

Now, it is halfway through two periods, which means that 2 + 0.5 = 2.5 periods have been played.

Amount remaining:

Total of 100% = 1, subtracted by the fraction played, which is 2.5 of 3 = 5 of 6. So

[tex]1 - \frac{2.5}{3} = 1 - \frac{5}{6} = \frac{6 - 5}{6} = \frac{1}{6}[/tex]

[tex]\frac{1}{6}[/tex] of the game is left.

Help me grade 9! Thankyou

Answers

Answer:

got ya

Step-by-step explanation:

19. The dimensions of the rectangular floor base of an office building are
1.5 x 102 feet by 1.35 x 103 feet. What is the perimeter of the base of this
building, in feet?

Answers

305.93949495050500429282

The measures of three of the interior angles of a quadrilateral are 60o, 110o, and 90o What is the measure of the fourth angle of this quadrilateral?

Answers

Answer:

100 degrees

Step-by-step explanation:

sum of angles in a quadrilateral = 360

missing angle = 360 - (60 + 110 + 90) = 100

please help Moosa's sister is six years younger than 3 times his age. The sum of their ages is 30. How old is Moosa?

Answers

Answer: 9 years old

Step-by-step explanation:

The parts

Moosa= x

Moosa's sister = (3x-6)

and together x+(3x-6)=30

Solve for x to get 9 which means Moosa is 9 and Moosa's sister (older) is 21

Pls help Im stuck brainliest and 5 star rating !!!!!!!!!!!!!!!!! :::::::::::)))))

Answers

I am going from left to right.
11, 20, 31, 13, 35, 100

find two numbers that multiply to 36 and add to -20

Answers

Answer:

-18+2 hope it will help u

PLEASE HELP ILL GIVE BRAINLIEST
SHOW WORK

Answers

Answer:

choice 1) $21.90

Step-by-step explanation:

30% of $72.99 = 0.3(72.99) = $21.90

Answer:

21.90

Step-by-step explanation:

A set of cards is numbered 1,2,3,4,5,6,7,8,9,10,11,12. Suppose you pick a card at random without looking. Find the probability of each event. Write as a fraction in simplest form for each questions.

P(3) =

P(a number that starts with the letter T) =

P(odd number) =

P(multiple of 4) =

P(3 or 5) =

P(13) =

Answers

Answer:

3= 1/12

a number with the letter T= 1/3

odd number= 1/2

multiple of 4= 1/6

3 or 5= 1/6

13= 0

Answer:

p(3)=1/3

p(a number that starts with the letter T)=1/3

p(odd number)=1/2

p(multiple of 4)=1/4

p(3 or 5)=1/6

p(13)=0

Solve for x
3x+7=57 pleas hurry

Answers

Answer: x=50/3

Step-by-step explanation:

Answer:

16.6 ( the 6 is repeated) or 16 and 2/3

Step-by-step explanation:

Take the 7 away which equals 50 and then divide by 3..

Convert the units of capacity.
10 pt = ___ ___ qt

Answers

Answer:

6.00475

Step-by-step explanation:

Andre is saving to buy a guitar for $205. He works at the car wash and get paid $106 a week plus $2 tip for each car he washes. What is the least amount of cars he needs to wash this week to be able to buy the guitar?

Answers

Answer: 2 cars

Step-by-step explanation:

$106 x 2= $212 which is the least ammount of cars he needs to wash to get the guitar

help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

The second box is the answer

Step-by-step explanation:

Solution

V=whl=5·5·5=125

No links! Please!!

Factor 28x+12y using the GFC

Answers

Answer:

4(7x + 3y)

Step-by-step explanation:

28x+12y using GCF(greatest common factor)

gcf = 4

4(7x + 3y)

Answer:

4(7x+3y)

Step-by-step explanation:

28x+12y

Factor out the greatest commom factor  "4"

4(7x+3y) is the answer

A rectangle has an area of 96 sq. ft. Find the width of the rectangle if the height is 8 feet?

Answers

96/8= 12 ft

Therefore the answer should be 12ft :)

Help me please. I don't understand this.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.

It seems to be a good idea to start with the formula for the volume.

Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).

Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.

Evaluating it gives the volume in cubic units.

_____

Additional comment

If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).

However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.

It you tip 3.75 on a bill and your tip was 20% of the bill, how much was the meal before tip?

Answers

Answer: If 3.75 is 20% of the bill then $300 is the bill

Which function has a graph with
x-intercepts of (-2, 0) and (7,0)?

The photo is the answers

Answers

A











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Z




Z
Z
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A



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Answer is A

need help ASAP, please

Answers

Answer:

1) D. 343.17

2) C but not sure

Step-by-step explanation:

1) area of triangle is 1/2* base* height= 1/2*18*24 = 216ft²

area of circle is πr²

area of semicircle is πr²/2

diameter=18

radius= 18/2=9

πr²/2 = (22/7* 9*9) / 2

=127.2 (approx)

total area = 127.2+ 216= 343.2

2) I dont know...I think C

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