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2 years ago

For what values of x and y must each figure be a parallelogram?

Mathematics

1 answer:

daser333 [38]2 years ago

5 0

9514 1404 393

Answer:

x = 2

y = 9

Step-by-step explanation:

Opposite sides of a parallelogram are the same length. This relation is used to make equations with the given side lengths.

<u>Top and Bottom</u>

4x +20 = x +26

3x = 6 . . . . . . . . . . . subtract x+20 from both sides

x = 2 . . . . . . . . . divide by 3

<u>Left and Right</u>

7y = 6y + 9

y = 9 . . . . . . . . . subtract 6y from both sides

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Answer:

The center of the circle is

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Step-by-step explanation:

Let the equation of the circle be

$x^2+y^2+2ax+2by+c=0$ , where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

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We substitute this point to get;

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But c=0

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$1^2+2^2+2a(1)+2b(2)+c=0$

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Put the value of 'a' and 'c' to find 'b'

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