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