Respuesta :

Answer:

[tex]d=1.62[/tex]

The equation is TRUE.

Step-by-step explanation:

To solve the given equation:

[tex]\frac{5}{9}d=\frac{9}{10}[/tex]

You need to find the value of the variable "d". You can apply this procedure:

- Multiply both sides of the equation by 9:

[tex](9)(\frac{5}{9}d)=(\frac{9}{10})(9)\\\\5d=\frac{81}{10}\\\\5d=8.1[/tex]

- Divide both sides of the equation by 5:

[tex]\frac{5d}{5}=\frac{8.1}{5}\\\\d=1.62[/tex]

Check the solution substituting the value of "d" into the equation and evaluating:

[tex]\frac{5}{9}(1.62)=\frac{9}{10}\\\\0.9=0.9\ (TRUE)[/tex]