Answer: 2.5
Step-by-step explanation:
Given: The triangles in the picture are similar by the AA Similarity Postulate.
We know that is two triangles are similar triangles then its corresponding sides are proportional [Larger side is proportional to larger side of another triangle or vise versa].
[tex]\Rightarrow\frac{x}{5}=\frac{3}{3+3}\\\\\Rightarrow\frac{x}{5}=\frac{3}{6}\\\\\Rightarrow x=\frac{1}{2}\times5\\\\\Rightarrow x=2.5[/tex]
Hence, the value of x is 2.5 .
