Mathematics College

Triangle ABC is similar to triangle DEF. Find the measure of side DE. Round your
answer to the nearest tenth if necessary.
8
B
F
31
E
Ď
13-7
D

Triangle ABC Is Similar To Triangle DEF. Find The Measure Of Side DE. Round Youranswer To The Nearest

Answers

Answer 1

Answer:

53.1

Step-by-step explanation:

They're equal, so 8 = 31 and 13.7 = x

8/31 = 13.7/x

31(13.7) / 8 = 53.0875

Round your answer to nearest tenth to get 53.1

Answer 2

The rounded length of DE is 53.1.

What is similar triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary.

What is the measure of DE?

The both the triangles are similar, so the side length CB will be equal to FE and the side length AB will be equal to DE. Hence, the equation formed will be,

[tex]\frac{8}{31}=\frac{13.7}{DE}[/tex]

On solving this equation, we have DE=53.0875.

Therefore, the rounded length of DE is 53.1.

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Related Questions

Write equivalent expressions in factored form
2x + 8y

Answers

Answer:

2(x) + 8(y)

Step-by-step explanation:

What is the surface area of the figure? 408ft^2 458ft^2 545ft^2 720ft^2

Answers

9514 1404 393

Answer:

  (b)  458 ft²

Step-by-step explanation:

The total area is the sum of the L-shaped front and back areas and the areas of the 6 rectangular faces.

The front L-shaped area can be considered to be a 12 ft × 12 ft square with a 5 ft × 7 ft rectangle cut from the upper left corner. Its area is then ...

  (12 ft)(12 ft) -(5 ft)(7 ft) = (144 -35) ft² = 109 ft² . . . . front area

__

The sum of the areas of the rectangular faces is the product of the width of the figure (5 ft) and the perimeter of the L-shaped face. That perimeter is the sum of the edge lengths. Starting from the lower-left corner and working clockwise, we find the perimeter to be ...

  7 ft + 7 ft + 5 ft + 5 ft + 12 ft + 12 ft = 48 ft

Then the sum of rectangular face areas is ...

  (48 ft)(5 ft) = 240 ft² . . . . rectangular face area

The total surface area is then ...

  2×front area + rectangular face area

  = 2×109 ft² +240 ft² = 458 ft² . . . . total surface area

PLZ HELP!!! NO LINKS OR NON-ANSWERS!!!!!!!

Answers

I literally just did this lol ( b d and e) i did it on paper

Branliest will be helpful

Thx

Consider the right triangle shown. Which statements are correct?

Answers

C, D, and E

hope this helps


Ball thrown straight up
H(x)=64x-16xSquared


How do you find the value of x when the ball reached its maximum height.

Answers

Answer:

x = 2

Step-by-step explanation:

H(x) = 64x - 16x²

Find the value of x when the ball reaches its maximum height.

Since the largest degree in this equation is two, this function represents a parabola. We can find the maximum height of the ball at the vertex of the quadratic.

In H(x) = 64x - 16x², rearrange the powers from greatest to least:

a = -16b = 64c = 0

Vertex: [-b/2a, f(-b/2a)]

Substitute a and b into the x-value of the vertex: -b/2a.

-(64)/2·(-16) -64/-32 2

The vertex of the parabola is at x = 2, with a maximum height of H(2).

Find 50% of 108:
Find 25% of 108:
Find 75% of 108:

Answers

Answer:

50% of 108: 54

25% of 108: 27

75% of 108:  81

Step-by-step explanation:

Hope this helps have a nice day

Answer:

50% : 54

25% : 27

75% : 81

Step-by-step explanation:

If you multiply by the decimal version of the precentages, you will get the remaining amount of how much it is. so to find 50% of 108, you do 108 * 0.50 and it will give you the 50% of 108.

Jill and Marlando are creating patterns

Answers

Answer:

15

Step-by-step explanation

3x5 is 15

I will try and give Brainliest

Answers

D? i’m pretty sure sorry if it’s wrong

Answer:

[tex] \boxed{A. \: 134 \: in³} [/tex]

Explanation:

Volume of a cone: ⅓πr²h.

Where r is the radius, and h is the height.

The diameter is twice (2 times) the radius.

(⅓)(π)(4²)(16) – (⅓)(π)(4²)(8) =

256 / 3 π – 128 / 3 π =

128 / 3 π =

42 ⅔ π = 134.041287... ≈ 134 in³

WILL MARK BRAINLIEST PLS HELP ME ​

Answers

Answer:

c 480 square inches your welcome

i believe it is c. 480 square inches

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Answers

Answer:

yxu and tux are the alternate interior angles

Step-by-step explanation:

you just go across and then the other side

so pretty much mirroring it twice

having trouble. can anyone help?

Answers

Answer:

it will be

Step-by-step explanation:

6/9 but a mix number i don't know

PLEASE HELP
What is the slope-intercept equation of the line shown below?
(1,5)

(-2,-4)


Answers

Answer

y=9/3x

Step-by-step explanation:

Rectangle is graphed in the coordinate plane. The following are the vertices of the rectang A(- 2, 2), B(6, 2), C(6, 3) and D(- 2, 3) . What is the area of rectangle ABCD?

Answers

Answer:

Adenosine triphosphate

Answer:

The area of the rectangle ABCD will be 8 sq. units.

Step-by-step explanation:

The rectangle shape ABCD has vertices A(- 2,2), B(6,2), C(6,3) and D(- 2,3).  

Presently, length of side AB = [6 - (- 2)] = 8 units.  

{Since the line AB is corresponding to the x-pivot, so the length of the portion AB will be the contrast between the x-directions of the focuses An and B}  

Once more, line BC is corresponding to y-pivot and thus the length BC = (3 - 2) = 1 units.  

Subsequently, the space of the square shape ABCD will be (8 × 1) = 8 sq. units. (Answer)

HELP I NEED ANSWERS NOW

Answers

Answer:

I am not sure but I think it is c

Step-by-step explanation:

An employee at the metropolitan museum of art surveyed a random sample of 150 visitors to the museum. Of those visitors, 45 people bought food at the cafeteria.Based on those results, how many people out of 1750 visitors to the museum would be expected to buy food for the cafeteria? NO LINKS!

Answers

Answer:

525 will the answer

Step-by-step explanation:

look at pic 10 pts will mark brainilest

Answers

Answer:

120 cm squared

Step-by-step explanation:

To find this is like finding a rectangle, you can take the triangular part of it and move it over to the side to become a rectangle

we can find the rectangle side by doing

21-6=15

then multiply it

15*8=120

Can you help please?

Answers

Answer:

I say area b or area c

Step-by-step explanation:

dont have none

area b or c thats what I think

One number is six less than a second number. Six times the first is 10 more than 4 times the second. Find the numbers
The value of the first number is

Answers

Answer:

1st number = 17

2nd number = 23

Step-by-step explanation:

x = 1st number

y = 2nd number

x = y - 6

6x = 10 + 4y

substitution method:

6(y - 6) = 10 + 4y

6y - 36 = 10 + 4y

2y - 36 = 10

2y = 46

y = 23

find 'x':

x = 23 - 6

x = 17

help fast plz !!!!!!!!!

Answers

Answer:

It should be 35

Step-by-step explanation:

The ratio of two similar triangles is 4/5. If a side in the larger triangle is 62, what is the length of the corresponding side in the smaller triangle?

Answers

Answer:

[tex]let \: the \: corresponding \: side \: of \: smaller \: triangl e \: be \: of \: length \: x \\ 4 \ratio5 = x \ratio62 \\ \frac{4}{5} = \frac{x}{62} \\ x = 62 \times \frac{4}{5} \\ x = 49.6[/tex]

Asap
It is for past paper that is due in tomorrow 29th

Answers

Answer:

(i) 22.5

(ii) 7.2

Step-by-step explanation:

(i)

AB:PQ = 2:5 = 1:2.5

So PQ is 2.5 times longer than AB.

PQ=2.5AB=(2.5)9=22.5

(ii):

Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:

QR=2.5BC

BC=QR/2.5=18/2.5=7.2

Look at the image below, please! (I mark brainliest!)

Answers

Answer:

C, D, E

Step-by-step explanation:

10% of 33 is the same as the following, 0.1 * 33, 1/10 * 33, and 10/100 * 33, because they are all multiplying 33 by 0.1

Use exponents to rewrite this expressions: 2 × 2 × 2 × 2 × 4 × 4 × 4

Answers

Answer:

2^10

Step-by-step explanation:

Pls help me no links I am serious

Answers

Answer:

March

Step-by-step explanation:

It’s March because in February there were 45 or so students, but then in March it went all the way up to 120. So, 120 - 45 = 75, which is the most amount of students increasing in a month.

I hope this helped and it wasn’t so confusing!!

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Answers

Answer:

First one is 6

Second one is 4

Step-by-step explanation:

Right on egg

Derek opened up a savings account that earns 1.25% interest, compounded monthly. If
he put $750 in the account to start, how much money would be in his account 7 years
later, assuming no additional money was deposited or withdrawn from the account?

Answers

Answer:

1537.92$

Step-by-step explanation:

$600 invested at 5% compounded daily after a period of 3 years.

Answers

Answer:

$697.09

Step-by-step explanation:

The computation of the investment after 3 years is shown below:

As we know that

Amount = Present value × (1 + rate)^number of years

= $600 × (1 + 0.05 ÷ 365)^365× 3

= $697.09

Hence, the investment after 3 years is $697.09

We simply used the above formula to determine the investment

I NEED HELP PLZ ( WILL GIVE BRAINLIST) NO LINKS

Answers

Answer:

2 1/2

Step-by-step explanation:

i used the  lwh for this/ (length) (width) (height)

Branliest will be appreciated and thanks!

PLEASE HELPPO ITS A TEST AND I DONT HAVE TIMEE

Answers

Answer:

I can help but there's no question.... let me know when you either reupload the question or edit it :)

Step-by-step explanation:

I'd be glad to help!

Hey there, there is no Question provided. :)

If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X, ​

Answers

Answer:

The answer is option C..........

To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.

What is line segment?

A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.

To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.

The slope of AB can be calculated using the formula:

mAB = (y2 - y1) / (x2 - x1)

Similarly, the slope of CD can be calculated using the formula:

mCD = (ya - Y3) / (xx - X3)

If mAB = mCD, then AB is parallel to CD.

Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)

For more details regarding line segment, visit:

https://brainly.com/question/30072605

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