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Solve for x. Triangle ABC is similar to Triangle FED

Solve for x. Triangle ABC is similar to Triangle FED-example-1

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Answer: x=9.

Explanation:

Triangle ABC is similar to triangle FED ⇒


(77)/(21) =(11x+11)/(30) \\\\(7*11)/(7*3)=(11*(x+1))/(30) \\\\(11)/(3)*30 =11*(x+1)\\\\(11*3*10)/(3) =11*(x+1)\\\\11*10=11*(x+1)\\10=x+1\\9=x.

Good luck an' have a nice day!

User Thomas Dutrion
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