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$T$ is a point on segment $\overline{S U}$. If $S T= 10.6$ and $T U= 6.2$, what is $S U$ ? Write your answer as a decimal or integer. # Submit
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Answer

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Step 1:
: Draw a diagram and label the given information.

We know the lengths of segments $\overline{ST}$ and $\overline{TU}$, which are 10.6 and 6.2 units respectively.

Step 2:
: Recall the property of a segment when a point is on it.

If a point is on a segment, then the sum of the lengths of the two smaller segments defined by the point is equal to the length of the larger segment.

Step 3:
: Apply the property to find $S U$.

According to the property mentioned in Step 2, we have: ST + TU = SU \

Step 4:
6 + 6.2 = x \

Step 5:
: Solve for $x$.

x = 10.6 + 6.2 \ x = 16.8 \

Final Answer

The length of segment $\overline{SU}$ is 16.8 units.