Respuesta :

Answer:

The choice B) 11.4

Step-by-step explanation:

[tex] {x}^{2} + {(5.5)}^{2} = {(12.7)}^{2} \\ {x}^{2} + 30.25 = 161.29 \\ {x}^{2} = 13104 \\ x = 11.4[/tex]

By using Pythagoras theorem :

  • [tex] {x}^{2} = (12.7) {}^{2} - (5.5)x {}^{2} [/tex]

  • [tex] {x}^{2} = 161.29 - 30.25[/tex]

  • [tex] {x}^{2} =131.04[/tex]

  • [tex]x = \sqrt{131.04} [/tex]

  • [tex]x = 11.4[/tex]

Correct choice is B