Respuesta :

Answer:

x = 14.97

Step-by-step explanation:

a= 10 c=18

1. plug variables in for pythagorean theorem.

[tex]a^2+b^2=c^2[/tex]→[tex]10^2+b^2=18^2[/tex]

2.solve for b from pythagorean theorem.

[tex]10^2+b^2=18^2[/tex]→[tex]100+b^2=324[/tex]

                          -100         -100

[tex]b^2=224[/tex]→[tex]b=\sqrt{224}[/tex]

b = 14.9666295.....

3. Round variable b to the nearest hundreth assuming they expect that and change the variable to x since we were actually looking for x.

b=14.9666....→ b(estimated)= 14.97

x(estimated)=14.97