Chapter 1 - Tools of Geometry - 1-3 Measuring Segments - Practice and Problem-Solving Exercises - Page 24: 20

33

Because of the tick marks, we know that PT=TQ. So, we can set their algebraic values equal to each other. That gives $PT=TQ \rightarrow 5x+3=7x-9 \rightarrow -2x=-12 \rightarrow x=6$ The question asks for PT, so we substitute 6 back into the equation of PT, which is $5x+3$. $5(6)+3=30+3= \fbox{33}$.