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

Un conductor circula a 12 m/s. Acelera y pasa a circular a 20 m/s al cabo de 10 segundos. Calcula la aceleración del coche.

Answers

Answer:

Aceleracion = 0.8 m/s²

Step-by-step explanation:

Dados los siguientes datos;

Velocidad inicial = 12 m/s

Velocidad final = 20 m/s

Tiempo, t = 10 segundos

Para encontrar la aceleración;

Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.

Esto simplemente significa que la aceleración viene dada por la resta de la velocidad inicial de la velocidad final a lo largo del tiempo.

Por lo tanto, si restamos la velocidad inicial de la velocidad final y la dividimos por el tiempo, podemos calcular la aceleración de un objeto. Matemáticamente, la aceleración viene dada por la fórmula;

[tex] Aceleracion = \frac{final \; velocidad - inicial \; velocidad}{tiempo}[/tex]

Sustituyendo en la fórmula, tenemos;

[tex] Aceleracion = \frac{20 - 12}{10}[/tex]

[tex] Aceleracion = \frac{8}{10}[/tex]

Aceleracion = 0.8 m/s²

HELP PLZ I'LL MARK BRAINLIEST!

Answers

Answer:

138.23

Step-by-step explanation:

What is the sum of 10/12and 11/12? Make sure to show all work to receive full credit!

Answers

Answer:

[tex]1\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{10}{12} +\frac{11}{12} \\\\\frac{21}{12} \\\\1\frac{9}{12} \\\\1\frac{3}{4}[/tex]

Find the total surface area of this triangular prism.​

Answers

Answer:

28 i think

Step-by-step explanation:

another, these are tricky to me.

Answers

Answer:

It would be D ^^

Step-by-step explanation:

I learned this 2 years ago lol <3

A bathtub holds 525,000 mL of water. How many liters is this? O A 52.5 L B 525 L o c. 5.250 L O D. 52,500 L​

Answers

Answer:

B. 525 L

Step-by-step explanation:

there are 4 red and 8 blue marbles in a bag, Mark draws a blue marble out of the bag and does not replace it. Mark draws a second blue marble out of the bag and does not replace it. what is the probability that the next marble he draws will also be blue,

Answers

Answer:3/5

Step-by-step explanation:when he takes one marble it’s 7/11 and when he takes another it’s 6/10 so simplify and you get 3/5

Answer:

Step-by-step explanation:

Answer:3/5

I need help on this question

Answers

The correct answer is c.3/2

You roll 2 six sided dice. What are the odds of rolling 2 sixes?

A. 1/6
B. 1/36
C. 1/18
D. 1/12

Answers

you will have 1/6 odds
You will have 1/12 odds

Explain what you think 5 x ⅙ means.

Answers

Answer:

5/6?

Step-by-step explanation:

HELP THIS IS DUE IN LIKE 20 MINS

Answers

Answer:

I cant see the full question enough to help you. Its showing like part of the question.

Answer:

4x+y=-7

Step-by-step explanation:

I Need Help ..
4. Evaluate the functions,
Let f(0) = 21-1 and 8(x) - 7-4 find
a. /(0)
b. S(1)
c. (-1)
en g(0)
f. 8(-2)

Answers

Answer: cos ( 390 ) − 4 cot ( − 45 ) sin (330 )

Step-by-step explanation: MAKE ME BRANLIEST!!!!!!

The blue segments below is a diameter of oo. What is the length of the radius of the circle?

Answers

Answer:

C. 5.1 units

Step-by-step explanation:

Given Information :

Diameter : 10.2 units

Radius (r) = ?

[tex]r = \frac{d}{2} [/tex]

Input the values

[tex]r = \frac{10.2}{2} \\ \\ r = 5.1[/tex]

EQUAÇO
1. x + 5 - 25=x + 3x - 4
2. 1 - 2x = 3 - 2(x + 1)

Answers

1. 5-25=3x-4 => -20=3x-4 => -16=3x => x= -16/3
2. 1-2x=3-2x-2 => 1=3-2 => 1=1 => x=R

Donna made $357 for 17 hours of work. At the same rate, how many hours would she have to work to make $189?​

Answers

Answer:

9 hours.

Step-by-step explanation:

$357 / 17 = $21. ($21 per hour.)

$189/$21 = 9. BOOM

The area of the base is 7 cm. What is the surface area of the pyramid?

Answers

Answer: 34.5

Step-by-step explanation:

(Base · Height) ÷ 2 → (2 · 4.5) ÷ 2 = 5.5

5.5 · 5 = 27.5

27.5 + 7 = 34.5

A running track consists of two parallel lines that are connected at each end but the curved boundary of a semicircle. The parallel lines are 30 meters long and 7 meters apart. Fine the area inside the running track.

Answers

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

[tex] A_{t} = A_{r} + 2A_{c} [/tex]                

[tex] A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) [/tex]      

Where:

x: is one side of the rectangle = 30 m            

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

[tex] A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} [/tex]                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    

Gavin divided his notebook into 8 equal parts. He plans to use 3 parts to take notes for math and 2 parts for reading. He has school from 8:30 A.M to 3:30 P.M. what fraction of his notebook does he have left?

Pls help I well mark you a brainliest...

Answers

Answer:

Gavin has 3 parts left.

Step-by-step explanation:

8-3-2=3. The time was not important.

Solve the inequality for d

df+9h>2

Answers

Answer:

d=2_f - 9h_f

Step-by-step explanation:

es la segunda opción

5potatos + 56 potatos

Answers

Answer:

61

Step-by-step explanation:

The diameter of a circle is 8 inches. What is the area?

d=8 in

Give the exact answer in simplest form.

Answers

Step-by-step explanation:

Radius = Half of Diameter

r = 8/2

= 4 in.

Area of Circle =

[tex]\pi {r}^{2} \\ = \pi( {4}^{2} ) \\ = 16\pi \: {in}^{2} [/tex]

Use the diagram to identify 4 collinear points

Answers

Answer:

the answer is the (L,N,K,O)

Find the area of the larger sector.
Round to the nearest tenth.
2559
13.4 miles
Area = [ ? ]miles2
Enter

Answers

Step-by-step explanation:

the formula for the area of a sector is

(x°(r^2)π)/360

with x being the angle

r bring the radius of the circle

(255(13.4)^2π)/360

399.6

Hope that helps :)

Answer:

The answer is 399.6 not 399.4. I put 399.6 as my answer on acellus and I got it right.

Help me please with this problem!!

Answers

Answer:

139°

Step-by-step explanation:

Corresponding angles theorem:

When a transversal line intersects two parallel lines, the angles formed from the intersection are congruent in pairs. For example with your problem, using the Corresponding Angles Theorem (one of the few theorems/postulates used to find angles on transversals), the angles are paired on the same place on the first parallel line as they are on the second. Since the corresponding pair of (x)° is given, the angle of x is given. (x)° = 139°

I've provided an image courtesy of tutors.com that will help remember corresponding angles for you.

QUICK
Your bank offers 6 percent annual interest, compounded monthly. If you start with $500 in your account, how much will you have after 3 months?

Answers

Answer:$590

Step-by-step explanation:

500*6%=30

30*3=90

500+90=590

Help please show work how to get the answer.

Answers

Answer:

A or D

Step-by-step explanation:

NEED HELP!! NO Absurd answers!
Use technology or a z-score table to answer the question.

The normal admission price to see a movie at different theaters is normally distributed with a mean of $11.80 and a standard deviation of $1.15.

Approximately what percent of theaters charge more than $10 to see the movie?


5.8%

19.8%

80.2%

94.2%

Answers

Answer:

Approximately 94% of theaters charge more than $10 to see the movie.

Step-by-step explanation:

Use a calculator with distribution functions such as normalcdf(

Here we have normalcdf(10,1000,11.80, 1.15) = 0.941

Approximately 94% of theaters charge more than $10 to see the movie.  This agrees with the last answer choice.

find Measure angle WZY QUICK PLEASE

Answers

Answer:

<WZY = 31°

Step-by-step explanation:

First, we can see that <XZW is equal to <WZY.

Given that, we know we can set the two equations equal to each other to find "x".

8x - 1 = 5x + 11

Now that the two equations are set equal to each other, all we have to do is simplify to find x.

Bring 5x over and subtract it from 8x.

3x - 1 = 11

Bring -1 over and add it to 11.

Since you're subtracting a negative, it becomes positive allowing you to add it to 11.

3x = 12

Now you need to get x by itself. Do do that, you need to divide three by itself, and whatever you do to one side, you must do to the other.

3x/3 = 12/3

Now you have:

x = 4

____________________________________________________

Now that you know the value of x, all you need to do is plug x back into the equation for <WZY

5(4) + 11

20 + 11

31.

And there is your answer - <WZY = 31°

3x-y=2
x+2y=3

elimination method

Answers

Answer:

x=1 and y=1

Step-by-step explanation:

see attachment

Find the radius of the button.
3 and 1/2 in
radius:

Answers

Answer:1.75

Step-by-step explanation:

formula= R= D/2

convert 3 1/2 into a decimal

3.5

do 3.5 divided by 2 (R= 3.5/2) = 1.75

so the Radius is 1.75 inches !! hope this helped :)

The radius of the button 3 and 1/2 in would be; 1.75

What is a circle?

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

The formula= Radius= D/2

Now convert 3 and 1/2 into a decimal;

3.5

Now, 3.5 divided by 2 (R= 3.5/2)

= 1.75

Hence, the Radius is 1.75 inches .

Learn more about circle here;

brainly.com/question/12512221

#SPJ2

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