Answer: [tex]\overline{VW}=15[/tex] units.
Step-by-step explanation:
Since Point W is on line segment [tex]\overline{VX}[/tex].
That means V,W,X are collinear such that [tex]\overline{VX} = \overline{WX}+\overline{VW}[/tex] (i)
Given[tex]\overline{ WX}=2[/tex] units. , [tex]\overline{ VX} = 17[/tex] units.
To determine : length of [tex]\overline{ VW}[/tex].
Substitute all the given values in (i), we get
[tex]17=2+\overline{VW}\\\\\Rightarrow\ \overline{VW} =17-2=15\\\\\Rightarrow\overline{VW}=15[/tex]
Hence, the length of [tex]\overline{VW}=15[/tex] units.