rdesmangles
Answered

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△ABC ~ △AMN and AM = 6, MB = 4, AN = 8, then what is the value of AC?

ABC AMN And AM 6 MB 4 AN 8 Then What Is The Value Of AC class=

Sagot :

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Answer:

AC = 13.3

Make proportional relationship:

[tex]\sf \dfrac{AB}{AC} = \dfrac{AM}{AN}[/tex]

Insert values

[tex]\rightarrow \sf \dfrac{10}{AC} = \dfrac{6}{8}[/tex]

Cross multiply

[tex]\rightarrow \sf AC = \dfrac{10(8)}{6}[/tex]

Simplify

[tex]\rightarrow \sf AC =13.3[/tex]

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