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3 years ago

Please help, I beg of y'all FIND BD -

Mathematics

1 answer:

puteri [66]3 years ago

3 0

9514 1404 393

Answer:

14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally.

BD/BA = CD/CA

(x+4)/8 = (2x+1)/12

3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)

3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property

12 = x +2 . . . . . . . subtract 3x

10 = x . . . . . . . . . subtract 2

Then the length of BD is ...

BD = x +4

BD = 10 +4 . . . . substitute the value of x

BD = 14

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