Answer:
[tex]x=10[/tex]
Step-by-step explanation:
The side-splitter theorem states that a line parallel to a side of a triangle that intersects the other two sides of said triangle divides those two sides proportionally.
Therefore, we have the proportion:
[tex]\frac{5}{x}=\frac{11}{22}[/tex]
Cross-multiplying, we get:
[tex]11x=22\cdot 5,\\11x=110,\\x=\boxed{10}[/tex]
