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

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.

Can someone help me with this?

Answers

Answer:

G

Step-by-step explanation:

A floor mat for gymnastics is a square with a side length of 14m. What is the area of the floor mat in square metres? Explain?

Answers

Answer:

196 square meters

Step-by-step explanation:

If the floor mat is square and one side is 14m then all sides are 14m. Given this you would find area by multiplying length by width.

L=14 W=14

14x14=196

There are 196 square meters

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

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

The volume of the can is

[tex]Volume = \pi r^2h\\\\Volume = 3.14 \times 1.9^2 \times 5.4[/tex]

Volume = 61.21 cubic inches

Hence, the volume of the can is 61.21 cubic inches

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

What is the standard form of a trinomial?

Answers

Answer:

ax2 + bx + c

Step-by-step explanation:

the 2 is the square

Find the area of the given triangles. please and thank you

Answers

Answer:

6cm squared

Step-by-step explanation:

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

4 x 3 = 12

12 divided by 2 = 6

We have a population of 200 people with a growth rate of 2%. Which equation do we use to calculate how long it will take for the population to double to 400 people? 70/.2 200/,2 200x2 400/2 70/2 70/.02 200/.02 200x.02 200/2

Answers

Answer:

70/2

Step-by-step explanation:

We have a population of 200 people

Growth rate = 2%

How long it will take for the population to double

Double the population = 2× 200 = 400

The formula for Exponential growth =

y = a(1 + r)^t

y = Value at time t = 400

a = Initial value = 200

r = 2% = 0.02

t = ?

Hence:

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

t = 70/Growth rate

From the above question

Growth rate = 70/2%

= 35

Therefore, the equation that we use to calculate how long it will take for the population to double to 400 people is 70/2


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:

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 :

[tex]\frac{9/3}{12/3}[/tex]

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

Divide 3 by 4 :

[tex]3/4 = 0.75[/tex]

Multiply 0.75 by 100 to get our percentage :

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

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,
(u - 1)(u - 2) = 0
u - 1 = 0 ; u = 1 and u - 2 = 0 ; u = 2
Thus, tangent(x) = 1 and tangent(x) = 2. The values of x are 45° and 63.43°.

How many significant figures are in 609.80

Answers

There are 5 significant figures.

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:

A = 2πrh + 2π[tex]r^{2}[/tex]

d = 4

r = 4/2 = 2 cm

h = 9.5cm

A = 2π(2)(9.5) + 2π[tex](2)^{2}[/tex]  = 144.51326 [tex]cm^{2}[/tex]

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

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

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.

If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of
getting exactly 2 threes?

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

Brainliest?

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

select the compound inequality shown on the graph.

Answers

it's C i don't really have an explanation but notice me if you need one

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

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

Consider the diagram below. Which of the following represents the value of the missing side? Round to the nearest tenth.

Answers

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

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

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.

The image of the given problem is attached below. In this diagram, the radius of the circle is 1.5 meter long.

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

I know this is in german but i really really need help...

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

Please answer ☻
Convert the following number to a percentage find the value that belongs in the box.
333 = __%

Answers

Answer:

3 (or 3.33)

Step-by-step explanation:

333 as a percent is 3.33

this rounds down to 3, so 3 is your answer

18.6 in

Which is the best approximation for the measure of angle

EGF?

32.8°

40.2

OOO

49.8°

57.2

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]

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

Answers

Answer:

112

Step-by-step explanation:

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

4×4= 16/2=8 for the area of the triangle.

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

what is 4 1/2 plus 6 2/5

Answers

Answer:

10.9

Step-by-step explanation:

4 1/2 plus 6 2/5=10.9

Answer: 10.9

Step-by-step explanation:


here’s the
question to my last
post :)

anyways

Answers

1 Pint 4 Fluid Ounces!

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

Answers

Answer:

c

Step-by-step explanation:

Help please I’ll mark you brainliest!!

Answers

Answer:

35 ft

Step-by-step explanation:

Sorry this took me so long, I am 99% sure it is right though

I hope this helps :)

Please help me ASAP!!!

Answers

Answer:

the third one (2,-18)

Step-by-step explanation:

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