Answer:
TU = 8.4
Step-by-step explanation:
The geometric figure consists of the following segments;
1) 4 parallel lines, WS, YR, XQ, and, VP
2) Three transversals, VW, PS, and, TU
The given parameters are;
PQ = QR = RS
Therefore, given that the transversal, PS, makes equal intercept with the 4 given parallel lines, by equal intercept theorem, the transversal TU will make equal intercepts with the given parallel lines
Therefore;
TX = 2.8 = XZ = ZU
From which we have, by segment addition postulate;
TU = TX + XZ + ZU
∴ TU = 2.8 + 2.8 + 2.8 = 8.4
TU = 8.4.
