dancearianna66
dancearianna66 dancearianna66
  • 13-09-2021
  • Mathematics
contestada

Given:
RS = 3x - 16
ST = 4x - 8
RT = 60
Solve for RS.

Given RS 3x 16 ST 4x 8 RT 60 Solve for RS class=

Respuesta :

bendbaba159
bendbaba159 bendbaba159
  • 13-09-2021

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

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