karolurias51 karolurias51
  • 09-11-2017
  • Mathematics
contestada

analyze the diagram below and complete the instructions that follow.



Find the value of x.

A.
10
B.
12
C.
27
D.
43.5

analyze the diagram below and complete the instructions that follow Find the value of x A 10 B 12 C 27 D 435 class=

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jdoe0001 jdoe0001
  • 09-11-2017
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RenatoMattice RenatoMattice
  • 28-05-2019

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Length of base BC = 29

AD = 11

BD = 29-11=18

AB = 16.5

AC = x

Since AD is the angle bisector of angle A.

So, the ratio of sides would be same.

[tex]\dfrac{16.5}{x}=\dfrac{11}{18}\\\\x=\dfrac{18\times 16.5}{11}\\\\x=1.5\times 18\\\\x=27[/tex]

Hence, Option 'C' is correct.

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