Question

Nas figuras seguintes, as retas a, b e c são paralelas, determine o valor do segmento x : *

Answer 1

Teorema de Tales

"Um feixe de paralelas determina sob uma tranversal segmentos proporcionais"

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$\mathsf{\dfrac{12}{2x-6}=\dfrac{8}{x+1}}\\\mathsf{16x-48=12x+12}\\\mathsf{16x-12x=48+12}\\\mathsf{4x=60}\\\mathsf{x=\dfrac{60}{4}}\\\huge\boxed{\boxed{\boxed{\boxed{\mathsf{x=15}}}}}\\\huge\boxed{\boxed{\boxed{\boxed{\mathsf{\maltese~~alternativa~~e}}}}}$

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