Answer:
\(AZ=36\)
Step-by-step explanation:
We have been given that point A is between point Y and Z such that \(YA=5.5\), \(AZ=2x\) and \(YZ=41.5\).
Using our given information, we can set an equation as:
\(YZ=YA+AZ\)
Substitute given values:
\(41.5=5.5+2x\)
Switch sides:
\(5.5+2x=41.5\)
\(5.5-5.5+2x=41.5-5.5\)
\(2x=36\)
Since \(AZ=2x\), so the length of segment AZ is 36 units.
