We have the following:
[tex]\begin{gathered} UW=UV+VW \\ \text{where} \\ UW=9x-9 \\ UV=2x-4 \\ VW=4x+10 \end{gathered}[/tex]
replacing:
[tex]\begin{gathered} 9x-9=2x-4+4x+10 \\ 9x-9=6x+6 \\ 9x-6x=9+6 \\ 3x=15 \\ x=\frac{15}{3}=5 \end{gathered}[/tex]
Therefore:
[tex]UW=9\cdot5-9=45-9=36[/tex]
The answer is 36 units
