AalyiahD699564 AalyiahD699564

03-11-2022
Mathematics

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if B D equals b c b d equals 5x - 26 BC equals 2x + 1 and a C equals 43 find a b

if B D equals b c b d equals 5x 26 BC equals 2x 1 and a C equals 43 find a b class=

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PetronaZ370411 PetronaZ370411

03-11-2022

Given the information

BD=BC

where

BD= 5x-26

BC=2x+1

then

[tex]5x-26=2x+1[/tex][tex]5x-2x=1+26[/tex][tex]3x=27[/tex][tex]x=\frac{27}{3}=9[/tex]

Since

AB= AC-BC

where

BC=2x+1

BC= 2(9)+1 = 19

AC=43

[tex]AB=43-19=24[/tex]

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