QUESTION IMAGE
Question
- use the segment addition postulate to find the distance from tulsa, oklahoma, to st. louis, missouri!
Step1: Recall segment - addition postulate
If we consider the line - segment from Lubbock (L) to St. Louis (S) with Tulsa (T) in between, if the distance from Lubbock to St. Louis is \(d_{LS}\) and the distance from Lubbock to Tulsa is \(d_{LT}\), and the distance from Tulsa to St. Louis is \(d_{TS}\), then \(d_{LS}=d_{LT} + d_{TS}\). Here, \(d_{LS} = 738\) mi and \(d_{LT}=377\) mi.
Step2: Solve for the unknown distance
We want to find \(d_{TS}\). Rearranging the formula \(d_{TS}=d_{LS}-d_{LT}\). Substitute \(d_{LS} = 738\) and \(d_{LT}=377\) into the formula: \(d_{TS}=738 - 377\).
\(d_{TS}=361\) mi
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361 mi