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17-12-2021
Mathematics

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Given BE= 2x+ 6 and ED= 5x– 12 in parallelogram ABCD, find BD.

answer choices
36,12,6,18

Given BE 2x 6 and ED 5x 12 in parallelogram ABCD find BD answer choices 3612618 class=

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17-12-2021

[tex]\\ \sf\Rrightarrow BE=ED[/tex]

[tex]\\ \sf\Rrightarrow 2x+6=5x-12[/tex]

[tex]\\ \sf\Rrightarrow -3x=-12-6[/tex]

[tex]\\ \sf\Rrightarrow -3x=-18[/tex]

[tex]\\ \sf\Rrightarrow x=3[/tex]

BD=2x+6+5x-12=7x-6=7(3)-6=21-6=15

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