• Matéria: Matemática
  • Autor: thayssapollyanna
  • Perguntado 9 anos atrás

a razao entre 2 angulos e 4/7,e a soma de suas medidas e 110.Determine o complemento do menor angulo.

Respostas

respondido por: india2015
3

ângulos ---->  x     e     y     ----->x/y=4/7

                                          ------> x+y=110

calculando:

isolando  x=  110-y

substituindo x  em  x/y =4/7  ----> 110-y/y= 4/7

                                                      7(110-y)=4y

                                                       770-7y =4y

                                                       770= 7y+4y

                                                       y=770/11

                                                        y= 70

calculando x  em  x+y=110

                              x+70=110

                               x= 40


logo   x=40     ,  y=110


complemento de x ------------------------> 90 -40= 50


resp:  50º

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