Those small little lines indicate that those segments are congruent. This means that the segments have the same measure.
This means that segment TU and segment UW have the same exact length.
Since we know TU is equal to 16 we can safely say that UW is also equal to 16.
But, the question asks us what the length of TW is. Since TW is composed of TU and UW if we add the lengths of those segments we can get the entire length of the whole segment.
So, let's do the actual math now:
[tex] 16+16 =32 [/tex]
This tells us that the length of TW is 32.
Final Answer: 32.
