BASE is a rectangle. Its diagonals intersect at O. Find x, if OB = 5x + 1 and OE = 2x + 4

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Solution

The diagonals of a rectangle are equal and they bisect each other.
So, 5x + 1 = 2x + 4
$\Rightarrow 5 x - 2 x = 4 - 1$
$\Rightarrow 3 x = 3$
$\Rightarrow x = \frac{3}{3} = 1$

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BASE is a rectangle. Its diagonals intersect at O. Find x, if OB = 5x + 1 and OE = 2x + 4

The diagonals of a rectangle are equal and they bisect each other. So, 5x + 1 = 2x + 4 ⇒5x−2x=4−1 ⇒3x=3 ⇒x=33=1

The diagonals of a rectangle are equal and they bisect each other.
So, 5x + 1 = 2x + 4
$\Rightarrow 5 x - 2 x = 4 - 1$
$\Rightarrow 3 x = 3$
$\Rightarrow x = \frac{3}{3} = 1$