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Igoryamba
2 years ago
10

5/6 converted to a decimal

Mathematics
2 answers:
Studentka2010 [4]2 years ago
8 0

0.8333 repeated is 5/6 in decimal form.

Kryger [21]2 years ago
6 0

Use the calculator 5 : 6 = 0.83333...

Use the long division:

.\  \underline{0.8333...=0.8\overline{3}}\\6|5\\.\ \ \underline{0}\\.\ \  50\\. \ \ \underline{48}\\.\ \ \ \ 20\\.\ \  \ \ \underline{18}\\. \ \ \ \ \ \ 20\\.\  \ \ \ \ \ \underline{18}\\.\ \ \  \ \ \ \ 20\\. \ \ \ \ \ \ \  \underline{18}\\.\ \ \ \ \ \ \ \ \ 2

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Answer:

The sum of the internal ángles = 360°

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then:

(3x-70) + (3y+40) + 120 + x = 360     ⇒ first eq.

(3y+40) + (3x-70) = 180      ⇒  second eq

development:

from the first eq.

3x + x + 3y  =  360  + 70 - 40 - 120

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3y = 270 - 4x

y = (270 - 4x) / 3    ⇒  fourth eq.

from the secon eq.:

3y + 3x = 180 + 70 - 40

3y + 3x = 250 - 40

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multiply by -1  the fifth eq and sum with the third eq.

  -3y  - 3x = -210    ⇒   (fifth eq. *-1)

   3y  + 4x = 270

⇒  0   +  x  = 60

x = 60°

from the fourth eq.

y = (270-4x)/3

y = (270-(4*60)) / 3

y = (270 - 240) / 3

y = 30/3

y = 10°

Probe:

from the first eq.

(3x-70) + (3y+40) + 120 + x = 360

3*60 - 70 + 3*10 + 40 + 120 + 60 = 360

180 - 70 + 30 + 40 + 120 + 60 = 360

180 + 30 + 40 + 120 + 60 - 70 = 360

430 - 70 = 360

Answer:

y = 10

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