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Cloud [144]
3 years ago
13

What is the value of x?​

Mathematics
1 answer:
adell [148]3 years ago
4 0

again, we're assuming that both triangles are similar, and thus using proportions.

\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}

we do not use the -10, because whatever value "x" may be, can't be negative or even 0.

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