Respuesta :

[tex]2\dfrac 29 = -\dfrac 45 m \\\\\implies 2+ \dfrac 29 =- \dfrac 45 m \\\\\implies \dfrac{20}9 = -\dfrac 45 m \\\\\implies 5(20) = (-4m)9\\\\\implies 100 = -36m\\\\\implies m = -\dfrac{100}{36} \\\\\implies m = -\dfrac{25}9\\\\\implies m=-2\dfrac 79[/tex]

Answer:

  • m = -25/9

Step-by-step explanation:

  • [tex]2\frac{2}{9} = \frac{-4m}{5}[/tex]
  • => [tex]\frac{2(9)+2}{9} = \frac{-4m}{5}[/tex]
  • => [tex]\frac{20}{9} = \frac{-4m}{5}[/tex]
  • => [tex]\frac{20}{9} = \frac{-4m}{5}[/tex]
  • => [tex]100 = -36m[/tex]
  • => [tex]m = \frac{-100}{36}[/tex]
  • => [tex]m = \frac{-25}{9}[/tex]

Conclusion:

Therefore, the answer is m = -25/9.

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]