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QUESTION IMAGE

point e is on line segment df. given ef = 16 and df = 19, determine the…

Question

point e is on line segment df. given ef = 16 and df = 19, determine the length de.

Explanation:

Step1: Use the segment - addition postulate

If \(E\) is on \(\overline{DF}\), then \(DF = DE+EF\).

Step2: Solve for \(DE\)

Rearrange the formula \(DE=DF - EF\). Given \(EF = 16\) and \(DF = 19\), substitute the values: \(DE=19 - 16\).

Answer:

\(3\)