value of x.

value of x.

Asked
9 months ago

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Hello!

As the figure is a rectangle, AE ≅ EC.

AE = x + 11

EC = 6x + 1

Set the two equal to each other:

x + 11 = 6x + 1

Subtract x from both sides:

11 = 5x + 1

Subtract 1 from both sides:

10 = 5x

Divide both sides by 5:

10/5 = 5x/5

x = 2.

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- The value of x is 2

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For solving such problems we need to recall some rules and properties of quadrilateral .

Above given figure is a figure of an rectangle . We know that the diagonals of an rectangle **b****i****s****e****c****t** each other

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Bisect is refer to dividing the line into 2 equal parts .

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From this property of the rectangle ; we can observe in the given rectangle that

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⠀⠀⠀⠀⠀⠀⠀⠀AE = EC

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As , AE = EC

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➠ x + 11 = 6x + 1

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➠ x - 6x = 1 - 11

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➠ -5x = - 10

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➠ 5x = 10

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➠ x = 10/5

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➠ x = 2

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∴ The value of x is 2 .

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