Respuesta :

Answer

x equals 20

Step-by-step explanation:

because x is always going to be close to the original number

[tex]\\ \rm\Rrightarrow TR^2=16(9)][/tex]

[tex]\\ \rm\Rrightarrow TR^2=144[/tex]

[tex]\\ \rm\Rrightarrow TR=12[/tex]

Now

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow x^2=12^2+16^2[/tex]

[tex]\\ \rm\Rrightarrow x^2=144+256[/tex]

[tex]\\ \rm\Rrightarrow x^2=400[/tex]

[tex]\\ \rm\Rrightarrow x=20[/tex]