To find the value of x:
Since, by using RHS congruence rule,
[tex]\Delta\text{RTU}\cong\Delta RTS[/tex]
Therefore,
[tex]\begin{gathered} RU=RS \\ 6x+5=8x \\ 5=2x \\ x=2.5 \end{gathered}[/tex]
Hence, the value of x is 2.5.
Next, to find the length of line segment RU.
[tex]\begin{gathered} RU=6x+5 \\ =6(2.5)+5 \\ =15+5 \\ =20 \end{gathered}[/tex]
Hence, the length of RU is 20.
