MatveiU747330 MatveiU747330

03-11-2022
Mathematics

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if D equals 6x - 7 + 8 equals 4x + 9 find the DB

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LeiamN409180 LeiamN409180

03-11-2022

If DE = 6x - 7 and AE = 4x + 9, find DB.

DE and AE are line segments. We need to equal DE = AE

[tex]DE=AE[/tex][tex]6x-7=4x+9[/tex][tex]6x-4x=9+7[/tex][tex]2x=16[/tex][tex]x=8[/tex]

Now, DB = DE + EB

[tex]DB=6x-7+4x+9[/tex][tex]DB=10x+2[/tex]

x = 8

[tex]DB=10(8)+2\rightarrow DB=82[/tex]

DB is 82

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