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astraxan [27]
3 years ago
8

Find the value of x and y in the following figure where ABCD is a parallelogram​

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Answer:

x = 3

y = 2

Step-by-step explanation:

Diagonals of a parallelogram bisect each other into two equal segments. Therefore:

3x - 1 = 2(x + 1)

Solve for x

3x - 1 = 2x + 2

Collect like terms

3x - 2x = 1 + 2

x = 3

Also:

5y + 1 = 6y - 1

Collect like terms

5y - 6y = -1 - 1

-y = -2

Divide both sides by -1

y = -2/-1

y = 2

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shepuryov [24]

Answer:

The two odd numbers are 15 and 17

Step-by-step explanation:

Given

<em>Let the odd numbers be represented with x and y</em>

<em>Let x be the greater number</em>

<em></em>x + 5y = 92<em></em>

<em></em>

<em>Required</em>

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Since x and y are consecutive odd numbers and x is greater, then

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Collect Like Terms

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Substitute 15 for y in x = y + 2

x = 15 + 2

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<em>Hence; the two odd numbers are 15 and 17</em>

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