Answer:
UV = 25
Step-by-step explanation:
Since, point V is on [tex] \overline {UW} [/tex]
[tex]\therefore UW = UV + VW\\
\therefore 4x + 10 = 5x + 5\\
\therefore 4x - 5x = 5 - 10\\
\therefore - x = - 5\\
\therefore x = 5\\
\because \overline{UV} = 5x\\
\therefore \overline{UV} = 5\times 5\\
\huge \purple {\boxed {\therefore \overline{UV} = 25}} \\[/tex]
