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horsena [70]
2 years ago
6

What is DF? Help me please :)

Mathematics
1 answer:
Kazeer [188]2 years ago
7 0

The value of DF = 20.

<h3>What is similarity?</h3>

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given:

Using theorem

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

ΔSDF/Δ RTY = (SD/RT)= (DF/TY)=  (FS/ YR)

ar ΔSDF² / ar  ΔRTY² = 16/81

SD/ RT = 4/9

SD = 4x,  RT= 9x

SD= 8

4x = 8

x = 2

So,

RT=  9*2 = 18

SF = RT -2

SF = 16

(SD/RT)= (FS/ YR)

8 / 18 = 16/ YR

YR= 36

TY= 9 +RY = 45

(DF/TY)=  (FS/ YR)

DF / 45= 16/ 36

DF=20

Learn more about similarity here:

brainly.com/question/25882965

#SPJ1

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sashaice [31]

Answer:The equation to determine how much Elise will pay for a student ticket is 2x = 33

Step-by-step explanation:

Let x represent the price of one student ticket.

Elise and her dad are planning to attend the state fair and the price of an adult ticket is $21.00

The price of an adult ticket is $10.00 more than two thirds the price of a student ticket. This means that

21 = 2/3 × x + 10

The equation to determine how much Elise will pay for a student ticket would be

2x/3 + 10 = 21

2x/3 = 21 - 10 = 11

2x = 11×3 = 33

x = 33/2 = $16.5

5 0
3 years ago
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eimsori [14]

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5 0
3 years ago
Which expression is equivalent to d-6d-3dd−6d−3d?
Softa [21]

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7 0
3 years ago
Work out the value of R. Give your answer in standard form to an appropriate degree of accuracy.
Mumz [18]

Answer:

R = 8,228,571.43 (Approx)

Step-by-step explanation:

Given:

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y = 2.8 x 10⁴

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Value of R

Computation:

R = x²/y

R = (4.8 x 10⁵)²/ (2.8 x 10⁴)

R = 23.04 x 10¹⁰ / (2.8 x 10⁴)

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4 0
3 years ago
Ben ran 3/4 km in a race . Jane ran2/9 of the distance that Ben had run . What was the distance that Jane ran? Help pls! Thanks
horsena [70]
'of' means mltilply
jane=2/9 of ben
ben=3/4
jane=2/9 of 3/4
jane=2/9 times 3/4=(2*3)/(9*4)=6/36=1/6  miles
8 0
3 years ago
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