Answer:
x = 8
Explanation:
Two triangles are similar if the length of their sides is proportional, so we can write the following equation to find x:
[tex]\begin{gathered} \frac{SU}{SR}=\frac{ST}{SQ} \\ \frac{x+4}{4}=\frac{6}{2} \end{gathered}[/tex]
So, we can solve for x:
[tex]\begin{gathered} \frac{x+4}{4}=3 \\ \frac{x+4}{4}\cdot4=3\cdot4 \\ x+4=12 \\ x+4-4=12-4 \\ x=8 \end{gathered}[/tex]
Therefore, the answer is x = 8.
