(Solved): 1. The diagram below represents the traffic flow through a roundabout. Assume all traffic flows in ...

1. The diagram below represents the traffic flow through a roundabout. Assume all traffic flows in the directions indicated. Pat and Terry collected data independently. Pat determined the values: al \( =100, a 2=50, a 3=130, a 4= \) \( 145, a 5=75 \) and a6 \( =105 \). Terry determined the values: al \( =95, a 2=50, a 3=130, a 4=145, a 5=75 \) and a6 \( =105 \). a) Does Pat or Tery have data that is consistent? Explain your answer. b) Using the person with the consistent data find the general solution of the x-values. c) Find the smallest possibie value of \( \times 6 \). 2. Find the inverse of the matrix \( \left[\begin{array}{cc}10 & 5 \\ 3 & 2\end{array} \mid\right. \) if it exists.