Os dois triangulos são semelhantes pois possuem dois angulos iguais, aplicando então a semelhança
Encontrando y:
[tex]\dfrac{y}{9}=\dfrac{4}{6}\\\\6y=4\cdot9\\\\6y=36\\\\y=\dfrac{36}{6}\\\\\boxed{\boxed{y=6}}[/tex]
Encontrando x:
[tex]\dfrac{4}{6}=\dfrac{5}{x}\\\\4x=6\cdot5\\\\4x=30\\\\x=\dfrac{30}{4}\quad\mbox{Simplicicando por 2}\\\\\boxed{\boxed{x=\dfrac{15}{2}}}[/tex]
