Question

if ux = 55 and vw = 66, what is st? st =

Explanation:

Step1: Identify similar - figure relationships

Since the lines are parallel and we have equal - length markings, the two trapezoids are similar. And we can observe that the ratio of corresponding sides is consistent. The segment $UX$ and $VW$ are corresponding to parts of the larger and smaller trapezoids. Also, $ST$ and $VW$ are corresponding sides.

Step2: Determine the relationship between the sides

We can see that the length of $ST$ is related to $VW$ by the same ratio as the overall similarity of the figures. In this case, we note that $ST = 2\times UX$.
Given $UX = 55$, then $ST=2\times55$.

Step3: Calculate the value of $ST$

$ST = 110$

Answer:

$110$