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Llana [10]
3 years ago
13

Please help i’ll give brainliest

Mathematics
2 answers:
Liula [17]3 years ago
5 0

Answer:

BD=141

Step-by-step explanation:

BD=2x+5

BD+12+27=180

BD+39=180

BD=141

ycow [4]3 years ago
5 0

Answer:

BD = 13

Step-by-step explanation:

AC is an angle bisector and divides the opposite into segments that are proportional to the other 2 sides, that is

\frac{AB}{AD}  = \frac{BC}{DC} , substitute values

\frac{12}{27} = \frac{x}{x+5} ( cross- multiply )

27x = 12(x + 5)

27x = 12x + 60 ( subtract 12x from both sides )

15x = 60 ( divide both sides by 15 )

x = 4

Thus

BD = x + x + 5 = 2x + 5 = 2(4) + 5 = 8 + 5 = 13

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