Triangle ABC is similar to Triangle DEF. Use the similar triangles to
answer the questions. (The triangles are not to scale.)
(In pic)
a.) Find the length of the BC and DF.
b.) Find the perimeter of each triangle

please help ! thanks :)

Triangle ABC Is Similar To Triangle DEF. Use The Similar Triangles Toanswer The Questions. (The Triangles

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

As they are similar corresponding sides are in the same proportion so

3/2 = BC/3

2BC = 3*3

2BC = 9

BC = 4.5.

3/2 = 5/DF

3DF = 2*5

DF = 2*5 / 3

= 3.33...

Perimeter of ABC = 3 + 4.5 + 5 = 12.5.

Perimeter of DEF =  2 + 3 + 3.33.. = 8.33...

Answer 2

Answer:

BC = 4.5 cm

DF = 10/3 cm

Step-by-step explanation:

Corresponding sides of similar triangles are in same ratio

[tex]\frac{BC}{EF}=\frac{AB}{DE}\\\\\frac{BC}{3} =\frac{3}{2}\\\\BC = \frac{3}{2}*3\\\\BC = \frac{9}{2}\\\\BC = 4.5 cm[/tex]

[tex]\frac{DF}{AC}=\frac{DE}{AB}\\\\\frac{DF}{5}=\frac{2}{3}\\\\DF = \frac{2}{3}*5\\\\DF = \frac{10}{3}[/tex]

Perimeter of ΔABC = 3 + 5 +4.5 = 12.5cm

Perimeter of ΔDEF = 2 + 3 + 3.3 = 8.3 cm


Related Questions

If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of
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Answers

Answer:

The probability of rolling the die once to get a four is 1/6

Step-by-step explanation:

So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities

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Find the area of the SHADED region.
Round to the nearest TENTH if necessary.

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Answer:

112

Step-by-step explanation:

18×8= 144 for the area of the entire rectangle.

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8×4=32 because there are 4 triangles.

144-32=112 because you don't want the area of the triangles only the shaded area

Solve these equations: tan^2x-3tanx+2=0

Answers

Let u be the value of tan(x) and that the equation above may also be written as,
u² - 3u + 2 = 0
The equation can be factored as follows,
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u - 1 = 0 ; u = 1 and u - 2 = 0 ; u = 2
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Answer:

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Step-by-step explanation:

If x = 8 units, y = 6 units, and h = 4 units, then what is the area of the parallelogram shown above? A. 24 square units B. 32 square units C. 28 square units D. 48 square units

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

18.6 in

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EGF?

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OOO

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Answers

Answer:

The answer is "[tex]40.2^{\circ}[/tex]"

Step-by-step explanation:

Please find the graph file.

Let

[tex]\angle EGF = x\\\\\sin x = \frac{12}{18.6}\\\\\sin x = 0.6452 \\\\x = \sin^{-1} (0.64516129) \\\\x = 40.1777695^{\circ} \approx 40.2^{\circ}[/tex]

What is the standard form of a trinomial?

Answers

Answer:

ax2 + bx + c

Step-by-step explanation:

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Answers

Answer:

i would have helped u

Step-by-step explanation:

but i have forgotten the steps in solving this question

Answer:

is this Afrikaans laguage I don't understand your questions please comment it in English for me

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Answers

Answer:

10.9

Step-by-step explanation:

4 1/2 plus 6 2/5=10.9

Answer: 10.9

Step-by-step explanation:

Please help solve correctly. NO links or files. Correct answers only if not report. I will even give an additional 10 if correct.

Answers

Answer:

144.51326 [tex]cm^{2}[/tex]

Step-by-step explanation:

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Don't know if you need to round it or not


here’s the
question to my last
post :)

anyways

Answers

1 Pint 4 Fluid Ounces!

i need help asap please

Answers

Answer:

1. 1570

2. can't see properly

3. can't see properly

4. 392.5

5. 615.4

6. 6049

7. not clear can't see

8. 1589

9.:1570

Mary made 12 bracelets. 9 of those bracelets are the color blue.
What percent of bracelets are blue?

Answers

75% of the bracelets are blue

Answer:

75%

Step-by-step explanation:

We know that Mary made twelve bracelets and also that nine of them are blue, we are then asked to find the percentage of the bracelets that are blue.

To solve, first get a fraction of how many of the bracelets are blue. Since there are twelve in total, 12 will be our denominator, and since 9 are blue, 9 will be our numerator.

[tex]\frac{9}{12}[/tex]

Now to turn this into a percentage, we need to reduce this fraction to the lowest we can. Both numerator and denominator are divisible by 3, so do as followed :

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Multiply 0.75 by 100 to get our percentage :

[tex]0.75 * 100 = 75[/tex]%

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

see explanation

Step-by-step explanation:

j - 4 ≤ 0 ( add 4 to both sides )

j ≤ 4

The graph has a closed circle at 4 on the number line with the arrow pointing left

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Answers

There are 5 significant figures.

Simplify:
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Answers

Answer:

Simplifed:

[tex]\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3}}[/tex]

[tex]\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3} } \\ \frac{216 - 567 -288 }{ { - 7}^{3} + {7}^{3} } \\ \frac{ - 639}{0} [/tex]

infinity

Please answer ☻
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Answers

Answer:

3 (or 3.33)

Step-by-step explanation:

333 as a percent is 3.33

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Answers

Answer:

6cm squared

Step-by-step explanation:

to find the area of a triangle, it is base x height divided by 2

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Answers

Answer:

35 ft

Step-by-step explanation:

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Answers

answer 2.5 i have solved the problem three times in my geometry class and got the same answer all three times

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What is Pythagoras theorem?

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of right angle triangle.

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The triangle ABC shown in the graph is right angle triangle as, the tangent of the circle is perpendicular with the radius of it at the point of contact.

Thus, by the Pythagoras theorem,

[tex](AB)^2+(BC)^2=(AC)^2\\(1.5)^2+(x)^2=(1.5+1)^2\\(x)^2=(2.5)^2-(1.5)^2\\x=\sqrt{6.25-2.25}\\x=\sqrt{4}\\x=2\rm\; units[/tex]

Thus, considering the diagram below the value which represent the missing side, round to the nearest below, tenth, is 2 units.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

#SPJ2

A cylindrical soup can has a diameter of 3.8 in. and is 5.4 in. tall. Find the volume of the can.

Answers

Answer:

the volume of the can is 61.21 cubic inches

Step-by-step explanation:

Given that

The diameter is 3.8 inches so the radius would be = 3.8 ÷ 2 = 1.9 inches

And, the height of the cylindrical soup is 5.4 inches

We need to find out the volume of the can

As we know that

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Hence, the volume of the can is 61.21 cubic inches


x2 + 4
Select all that apply



Answers

Answer:

The first three depending on what the first one says. 2 and three are definitely correct though. If the first one says x to the second power added by 4 then it is correct.

Step-by-step explanation:

select the compound inequality shown on the graph.

Answers

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Answers

Answer:

196 square meters

Step-by-step explanation:

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Answers

Answer:

70/2

Step-by-step explanation:

We have a population of 200 people

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How long it will take for the population to double

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y = Value at time t = 400

a = Initial value = 200

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t = ?

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400 = 200 ( 1 + 0.02)^t

Divide both sides by 200

400/200 = 200 ( 1 + 0.02)^t/200

2 = (1.02)^t

Take logarithm of both sides

log 2 = log(1.02)^t

log 2 = t log 1.02

t = log 2/log 1.02

t = 35.003417942

Approximately t = 35

We have so many formula to calculate doubling time

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From the above question

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You choose two different movies on a list at random. Out of 10 movies on the list, 6 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.

Answers

Answer:

5/9  

Step-by-step explanation:  

You have 10 movies in total. You take 1 out of 6 action movies. Now you have 5 action movies left, so that means the probability is 5/9. It's 5/9 because you chose 1 action movie out of 10 movies in total, so that means there are 9 movies in total left.

Question 2 options:
A pile of sand is in the shape of a cone. The diameter of the sand pile is 22 feet and the height is 12 feet.

The volume of the sand pile is approximately___ cubic feet.

Use 3.14 for pi. Do not round your answer.

Answers

7736.4uhshshszszehzeehe

The volume of a cylinder is 325 pi cubic centimeters and its radius is 5 centimeters.
What is the height of the cylinder?

__cm

Answers

The height of the given cylinder is 39 centimeters.
Step-by-step explanation: Given : The volume of a cylinder is 325π cubic centimeters and its radius is 5 centimeters

Answer:

13 cm

Step-by-step explanation:

just took the test

Solve the algebraic expression , is it equivalent?

Answers

Answer:

No

Step-by-step explanation:

When  you distribute the -2 you get 6x -2x+2. When  you simplify it you get 4x+2 which is different than 4x-2.

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