Respuesta :

Answer:

To find RS we have to find x and the use the value of X to solve for RS

Step-by-step explanation:

To find x we have to add RS and ST and equate it RT

[tex]3x - 16 + 4x - 8 = 60 \\ 3x + 4x - 16 - 8 = 60 \\ 7x - 24 = 60 \\ 7x = 60 + 24 \\ 7x = 84\\ x = \frac{84}{7} \\ x = 12[/tex]

So now that we have found x we can use it to solve for RS

[tex]rs = 3x - 16 \\ = (3 \times 12) - 16 \\ = 36 - 16 \\ = 20[/tex]

There we go. Hope this helps