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

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

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

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]

Please help me ASAP!!!

Answers

Answer:

the third one (2,-18)

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

What is the standard form of a trinomial?

Answers

Answer:

ax2 + bx + c

Step-by-step explanation:

the 2 is the square

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


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

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.

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?

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

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°.

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

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:

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.

How many significant figures are in 609.80

Answers

There are 5 significant figures.


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:

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:

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 :)

Can someone help me with this?

Answers

Answer:

G

Step-by-step explanation:

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

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]%

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

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

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

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

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

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

Other Questions
What is the least number of plums that can be shared equally among 6, 9 or 12 children? It takes 16 one-inch cubes to completely cover the bottom of a cereal box without leaving any gaps or overlapping any cubes. The picture below represents one layer of 16 cubes covering the bottom of the cereal box. 8 in. 2 in. 12 in. It takes a total of 12 layers of 16 cubes to fill the entire cereal box. What is the volume, in cubic inches, of the cereal box? 0 22 cubic inches 32 cubic inches 0 141 cubic inches 192 cubic inches help pls can u help me Fran solved the equation 42 = x + 23. Although her final answer was correct, she could have found it in a simpler way. Which sentence best explains why? 23 should be added to the left side and 42 added to the right side. 23 should have been subtracted from, not added to, both sides of the equation. 42 should be subtracted from both sides. The variable must be moved to the left side of the equation. Imagine that the market supply of peaches comes from Georgia (GA) and South Carolina (SC). The supply schedule below shows the quantity of peaches supplied in each state at each price. Individual and Market Supply of Peaches Quantity of Peaches Supplied (pounds) Price (dollars per pound) GA SC Market $10 20,000 18,000 ?8 16,000 15,000 ?6 12,000 12,000 ?4 8,000 9,000 ?2 4,000 6,000 ?Required:a. Complete the column labeled "Market."b. The quantity of peaches supplied to the market at a price of $6 per pound is pounds. Read through this series of events that lead to cellular respiration, or the production of energy in your body. Put these events in the correct order by numbering them from 1 to 5 in the blank boxes next to the events.You eat a hamburger and breath oxygen Oxygen and glucose combine to form carbon dioxide, water, and ATP.Energy is used by cells in your body to function and grow; you exhale carbon dioxide.Oxygen goes immediately from your lungs to blood vessels to cells.Food molecules in the hamburger are broken down into glucose in the digestive system. What sounds do you hear in April. Close your eyes and think about the sounds of the season. Write about the different sounds. define and describe the human rights violation of xenophobia RT and UW are parallel linesWhich angles are corresponding angles? Maria had $3,500 and invested it into an account with an annualinterest rate of 1.2%. If her investment were compounded monthly,write an eqaution to find the value of her investment after t years. PLEASE HELP!!!!!!!! PLEASE HELP, I WILL GIVE BRAINLIESTScenario 1:In the past year, country X has seen factories close and GDP fall dramatically. As a result, many people have lost their jobs. Prices of basic goods have also risen significantly. Fewer students are enrolling in college because more unemployment means less money to pay for classes. Scenario 2:Country Y has seen its GDP increase steadily over the past 18 months, and more people have been getting jobs. Prices for items such as food and clothing have been stable during this period, and college enrollment is increasing as more people have jobs and can pay for school. How does the economic health of countries X and Y compare? please help me :( this is due in 5 mins.A segment of DNA strand has the following bases:TAC GATWhat is the complementary strand of mRNA?A: UAG CAUB: TAG CATC: ATG CTAD: AUG CUA Worksheet Label It Using the word bank, label the parts of an animal cell. Mitochondrion Golgi bodies nucleus endoplasmic reticulum cell membrane lysosomes vacuole ribosome 3) Besides pH, what other soil factors affect producers?4) What is the main reason plants require water FGH, mG= 30 and mH= 100. What is the measure of F? The admission fee at an amusement park is $3.50 for children and $5.40 for adults. On a certain day, 351 people entered the park, and the admission fees collected totaled $1523. How many children and how many adults were admitted? What are 3 reasons why Jesus was so influential? Besides providing public goods, what two purposes can a government serve in a market economy? Qual era o impacto da permanncia dos seres humanos caadores-coletores no meio natural que habitavam