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alexdok [17]
3 years ago
13

WIll RATE BRAINLIST PLZ HELP

Mathematics
1 answer:
aalyn [17]3 years ago
8 0

Answer:

  4396

Step-by-step explanation:

The following transformations are defined:

  R: {1, 2, 3, 4} ⇒ {3, 2, 1, 4}

  B: {1, 2, 3, 4} ⇒ {2, 1, 3, 4}

  Y: {1, 2, 3, 4} ⇒ {1, 4, 3, 2}

Then the sequence RYBRY performs the transformation ...

  {1, 2, 3, 4} ⇒ {3, 2, 1, 4} ⇒ {3, 4, 1, 2} ⇒ {4, 3, 1, 2} ⇒ {1, 3, 4, 2} ⇒ {1, 2, 4, 3}

And the sequence BRYB performs the transformation ...

  {1, 2, 3, 4} ⇒ {2, 1, 3, 4} ⇒ {3, 1, 2, 4} ⇒ {3, 4, 2, 1} ⇒ {4, 3, 2, 1}

___

If we swap the last two digits of the first result, we will get the original number back: 6934.

If we swap the digits end-for-end, we will then get the result of the second transform: 4396.

Had Ali performed the second sequence on her original number, she would have gotten 4396.

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Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

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The perimeter of the triangle is 76 inches, then:

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We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

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5*y + 2*(5*y - 20) + 11 = 76

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and remember that the hypotenuse is equal to 5*y, then we want to get:

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