Solve for x. Triangle ABC is similar to Triangle FED

asked Feb 23, 2023 82.3k views

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1 vote

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!

Thomas Dutrion answered Mar 1, 2023

6.1k points

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