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

what is the next step in solving this equation

a. -5x-8=9
b. -13x=9
c. 11x-24=9
d. -21x-24=9

Answers

A. -5x-8=9
Hope this helps

Find the area of this circle.
Use 3.14 to approximate
A = ar2
20 ft

Answers

Answer:

314

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

R= half of d

d= 20

20/2= 10

r=10

Plug into formula:

3.14(10)^2

= 314

can someone help me asap​

Answers

Answer:

so 414 so the 4 in the hounded coloum

1011 the one is in the tenths coloum

does this help you work out the over two

Step-by-step explanation:

ASAPPPP
18. The steps used to solve the equation 2x + 8 = 20 for x are shown below.
2x + 8 = 20
Step I: 2x = 12
Step II: x = 6
Which property makes Step I true?
A. Division property of equality
B. Reflexive property of equality
C. Subtraction property of equality
D. Symmetric property of equality

Answers

Answer:

C. Subtraction property of equality

Step-by-step explanation:

I think the answer is B

solve the inequality m - 3 less than -2

Answers

Answer:m>1

Step-by-step explanation:

You add 3 to both sides because you minusing the 3. Then since your working with a negative you have to switch the signs

WRITE AN EQUATION THAT MATCHES THE STORY!! Five students came for after-
school tutoring. Priya's teacher assigned each of them the same number of
problems to complete. Then she assigned 2 more problems to one of the
students. 27 problems were assigned in all.

Answers

Answer:

5 + 2 = 27

Step-by-step explanation:

Answer:

let's take s as student

let's take p as problem

sp as student that has gotten a problem

1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p

5sp + 5sp + 5sp + 5sp + 1s × 5p + 2p

20sp + 1s × 7p

20sp + 7sp

27sp

the diagram shows a cuboid.what is the surface area of the cuboid
plz help​

Answers

Answer:

202 cm

Step-by-step explanation:

You need to add the areas of the faces, and since it is a cuboid opposite faces are the same. If you do 2(5x9) + 2(4x9) + 2(4x5) you will get your answer.

Answer:

Hello Love! Answer: 202

Step-by-step explanation:

First off we have to do all 6 faces remember that each face will have a matching face that goes along with it so Imma start with the front face that would be 9 x 5 = 45 same for back face

Then ill do sides that will be 5 x 4 = 20 for both left and right sides Then ill do top and bottom

thats 4 x 9 = 36 Now ill add all of these up.

So 45 + 45 + 20 + 20 + 36 + 36 and that = 202


What is the range of fat grams for the five sandwiches?
A. 15
B. 16
O c. 21
D. 21.2
.
O E. 24

Answers

9, hope this helped :)

neeeeed helppppppppppppppppppppppppp

Answers

821% of what number is 821?


(I'll mark brainliest if you give a valid answer)​

Answers

Answer:

100

Step-by-step explanation:

100×821/100= 821

so the answer is 100

I NEED HELP PLSSS HELP SHOW WORK IF YOU KNOW

Answers

PLEASE SHOW THE PROBLEM WE CANT SEE

A man has Rs 1900. he lent some of it at 5% p.a and rest at9% p.a. The total amount of interest which he got after4 years was Rs 580.Wwhat was the sum
ans= Rs650,Rs 1250​

Answers

Answer:

The sum is Rs 1,250 and Rs 650

Step-by-step explanation:

Let the amounts be represented as $x and $y

The sum of both is 1900

Thus;

x + y = 1,900 •••••(i)

Mathematically, the interest on the amount borrowed is;

I = PRT/100

where p is the principal, representing the amount borrowed

R is the rate

T is the time

for the first amount of $x ; we have interest as;

I = (x * 5 * 4)/100 = 20x/100

for the second, we have

I = (y * 9 * 4)/100 = 36y/100

The sum of both is 580

Thus;

20x/100 + 36y/100 = 580

20x + 36y = 58000 •••••(ii)

From equation i;

x = 1,900 - y

Substitute this into equation ii

We have this as;

20(1900-y) + 36y = 58,000

38000 - 20y + 36y = 58,000

16y = 58000 - 38000

16y = 20,000

y = 20,000/16

y = 1250

From equation 1;

x + y = 1900

x = 1900-y

x = 1900-1250

y = 650

PLEASE IM BEGGING SOMEONE TO HELP WITH SCALE FACTOR!!!!!!!

Answers

Answer:

Ratio that would go in box b.

ratio=16:36

Ratio that would go in box c.

is =64:216

Ratio that would go in box d.

is=2:7

This can be found by 8:343 which represents 2³:7³

Means D denotes to exponent

3-D ratio falls under c

So

ratio on box c is

4³:6³64:216

#4

Ratio on box D is 2:7 (Found at top)

#5

Box f is under 2-D

2²:7²

4:49

For box b

the ratio is

4²'6²=16:36

the greatest common factor of 9w2 and 10w4.

Answers

Answer:

9 and 2: 1

10 and 4: 2

Step-by-step explanation:

9: 1, 3, 9

2: 1, 2

Answer: 1

10: 1, 2, 5, 10

4: 1, 2, 4

Answer: 2

Plz help I need help with both. Giving branliest

Answers

Answer:

number 4-

X=11.207

Step-by-step explanation: Caculate the angle of B first. B=105

Then find side a and b

Rhondas test score was 75%. if there were 48 items on the test ,how many did she awnser correctly

Answers

Answer:

36 problems correctly

Step-by-step explanation:

48*.75

Answer:

36

Step-by-step explanation:

If a point at random, what is the probability that it will be in the shaded section. Give your answer as a fraction or a percentage to the hundredths

Answers

The diagram isn't attached. However, a rated diagram has been found and attached below.

Answer:

0.8611

Step-by-step explanation:

The probability of an event involves taking the ratio of the required measurement and the entire measurement.

Based on information on the attached circle, the shaded region of the circle takes 310° of the entire 360°

Choosing a point at random from which nside the circle ;

P(shaded portion) = shaded section / total measure of circle

P(shaded point) = 310 / 360 = 0.8611

Took a pic for better quality ​

Answers

A seems like the most plausible answer

hii please help asap ill give brainliest thanks

Answers

I’m pretty sure the answer is yoga

Select the correct answer.
Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?
Ο Α. Ο
OB
1
OC. 2
OD
4.
OE
infinitely many
Reset
Next

Answers

Answer:

OD

Step-by-step explanation:

Answer:

It's OD

p explanation:

HELP NEEDED HERE ASAP​

Answers

Answer:

5

Step-by-step explanation:

Plug in 6 in place of x in the expression

1/2x+2

1/2(6)+2

3+2

5

Answer:

5

Step-by-step explanation:

We are given the expression 1/2x + 2 and are asked to find the value when x = 6.

To solve, all we need to do is to substitute x with 6 :

1/2(6) + 2

Multiply 6 by the 1 in the fraction :

6/2 + 2

Divide 6 by 2 :

3 + 2

Add :

5

The diameter of a sphere is multiplied by 1/5. What is the effect on the surface area?



Answer choices:

5 times bigger
5 times smaller
25 times bigger
25 times smaller
15 times bigger
15 times smaller
125 times bigger
125 times smaller
Answer is not here

Answers

Answer:

25 times smaller

Step-by-step explanation:

Scale factor is:

k = 1/5

Ratio of surface areas is:

k² = (1/5)² = 1/25

Surface area will be 25 times smaller

Correct choice is D

We know the ratio of sides to area

a/b=a²/b²

So

If diameter is multiplied by 1/5

Surface are increases

(1/5)²1/25

25 times smaller

find the height of a cone with a volume of 21ft and a radius of 4ft​

Answers

here's the solution,

volume of cone :

=》

[tex]v = \dfrac{1}{3} \pi {r}^{2} h[/tex]

=》

[tex]21 = \dfrac{1}{3} \times 3.14 \times4 {}^{2} \times h [/tex]

=》

[tex]h = \dfrac{21 \times 3}{3.14 \times 16} [/tex]

=》

[tex]h = 1.253[/tex]

height = 1.25 ft (approximate)

What is the measure of angle x?

A 44°

B 53°

C 83°

D 180°

Answers

Answer:

C

Step-by-step explanation:

53 + 44 + x = 180

97 +x = 180

x = 83

11 (6 - y) = ??


THANK YOUUU

Answers

Answer:

The Answer is gonna be 66-11y

EXPLANATION :

11 (6 - y)

11x6=66

11(y)=11y

So we will get 66-11y

Which point does not pass through?
10 Points

Answers

Answer:

C  ( 9 , 15)

Step-by-step explanation:

The answer is c the point will not pass through the graph at points c(9,5)

Study the function below and then answer the questions that follow. Equation What is the domain of f(x)? What is the range of f(x)?

Answers

Answer:

(a) Domain: All real numbers except -2

(b) [tex]f(x) > -4[/tex]

Step-by-step explanation:

Given

See attachment for f(x)

Solving (a): The domain

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

To get the domain, we consider the inequalities attached to each of the piece-wise function

[tex]x < -2[/tex]

This implies that the values of x is less than -2 i.e.

[tex]x = \{.......,-4,-3\}[/tex]

[tex]-2< x<0[/tex]

This implies that x is greater than -2 and less than 0 i.e.

[tex]x = \{-1\}[/tex]

[tex]x \ge 0[/tex]

This implies that x is greater than or equal to 0 i.e.

[tex]x =\{0,1,2,3,....\}[/tex]

If these values of x are merged, we have:

[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]

[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]

-2 is not included in the above values of x.

Solving (b): The range

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

Substitute the greatest value of x in each piece-wise function.

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]x=-2[/tex]

So;

[tex]f(-2) = -2-2 = -4[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]x = -2[/tex]

So:

[tex]f(-2) = -2^2 = -4[/tex]

[tex]f(x) = x, x \ge 0[/tex]

[tex]x = \infty[/tex]

So;

[tex]f(\infty) = \infty[/tex]

We have:

[tex]f(-2) =-4[/tex]

[tex]f(-2) =-4[/tex]

[tex]f(\infty) = \infty[/tex]

The smallest value of f(x) is -4

Hence, the range is:

[tex]f(x) > -4[/tex]

Answer:

Domain is

B)

(-infinity, -2) U (-2, infinity)

Range is (-4, infinity)

Step-by-step explanation:

go it correct

edge2022

In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?
Explain how you found your answer.
Enter the correct answers in the boxes.

Answers

Answer:

150cm²

Step-by-step explanation:

In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?

The formula for the area of a trapezoid = 1/2(a + b) h

Where a = Length of the first base

b = Length of the second base

h= height of the trapezoid

h = 10cm

The length of one base is equal to its height

Hence:

a = h = 10cm

The length of the other base is twice its height.

b = 2h

h = 10cm

b = 10 × 2 = 20cm

Therefore, the Area of the Trapezoid =

1/2 (20 + 10)10

1/2 × 30 × 10

= 150cm²

Hey, can you please help me the best that you can. I would really appreciate it, thank you! :)

Answers

1 cookie = 45 oz sugar

2 cookies = 2×45 oz = 90 oz

3 cookies = 3×45 oz = 135 oz

...

523 cookies = 523×45 oz = 23,535 oz


Which value of x makes the inequality true

Answers

Answer:

the answer is D

you would end up with 14% and 14 is in between 12 ns 18

Step-by-step explanation:

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