janeydoety janeydoety

16-01-2022
Mathematics

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In the parallelogram above, BE= 7x-12, CE=10x-5, and DE= 3x+4. What is the length of BD

In the parallelogram above BE 7x12 CE10x5 and DE 3x4 What is the length of BD class=

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silirobert15 silirobert15

16-01-2022

ABCD is a parallelogram ⇒ BE = DE

So: 7x - 12 = 3x + 4

⇔ 7x - 3x = 4 + 12

⇔ 4x = 16

⇔ x = 16/4 = 4

⇒ BE = 7(4) - 12 = 28 - 12 = 16

⇒ DE = 3(4) + 4 = 12 + 4 = 16

⇒ BD = BE + DE = 16 + 16 = 32

Answer: BD = 32

Ok done. Thank to me :>

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