ANSWER:
x = 15
STEP-BY-STEP EXPLANATION:
We can calculate the value of x, with the help of the Pythagorean theorem, we obtain the following equation:
[tex]\left(x+10\right)^2=x^2+20^2[/tex]
We solve for x:
[tex]\begin{gathered} \left(x+10\right)^2=x^2+400 \\ \\ x^2+20x+100=x^2+400 \\ \\ x^2-x^2+20x=400-100 \\ \\ 20x=300 \\ \\ x=\frac{300}{20} \\ \\ x=15 \end{gathered}[/tex]
The value of x is equal to 15
