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14 votes
14 votes
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-example-1
User Conrad Shultz
by
2.9k points

1 Answer

26 votes
26 votes

Given the information

BD=BC

where

BD= 5x-26

BC=2x+1

then


5x-26=2x+1
5x-2x=1+26
3x=27
x=(27)/(3)=9

Since

AB= AC-BC

where

BC=2x+1

BC= 2(9)+1 = 19

AC=43


AB=43-19=24

User Ima Miri
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3.6k points