Question

Na figura abaixo, determine as medidas x e y:

Answer 1

          BC // MN

     Nos triângulos semelhantes ABC e AMN

                          $\frac{y}{7,5} = \frac{6}{x+3}$      (1)
 
                          $\frac{x+4}{[(x+3)+6]} = \frac{4}{6}$
                          
                          $\frac{x+4}{x + 9} = \frac{4}{6}$    (2)
                  
     Em (2)
                         4.(x + 9) = 6(x + 4)
                           4x + 36 = 6x + 24
                            36 - 24 = 6x - 4x
                                   12 = 2x
                                                               x = 6
   x em (1)
                        $\frac{y}{7,5} = \frac{6}{6 + 3} \\ \\ 9y=45$

                                                                y = 5