Solve X for the nearest tenth.

Answer:
[tex] \blue{x = 11.4} [/tex]
Step-by-step explanation:
See the figure.
The right triangles has legs of lengths 9 and 7.
[tex] 9^2 + 7^2 = x^2 [/tex]
[tex] x^2 = 130 [/tex]
[tex] x = \sqrt{130} [/tex]
[tex] \blue{x = 11.4} [/tex]