in the figure, pq = qr = rs. find tu. the length of tu is

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Accepted Answer

# Explanation:
## Step1: Use the property of parallel lines and equal - spaced segments
Since $PQ = QR=RS$ and the lines are parallel, by the property of parallel lines cutting off equal segments on one transversal, they cut off equal segments on any other transversal.
Let's assume the distance between two adjacent parallel lines is the same.
We know that if we consider two transversals (the two non - parallel lines in the figure).
Let $XY = 1.9$ and $TX=3.6$.
By the theorem of parallel lines dividing line segments proportionally, we have $TU=TX + XY+YS$. Since $PQ = QR = RS$, then $YS = 1.9$

## Step2: Calculate the length of $TU$
$$
\begin{align*}
TU&=3.6+1.9 + 1.9\
&=3.6+(1.9\times2)\
&=3.6 + 3.8\
&=7.4
\end{align*}
$$

# Answer:
$7.4$

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Question

Explanation:

Step1: Use the property of parallel lines and equal - spaced segments

Step2: Calculate the length of \(TU\)

Answer: