Answer :
Answer:
c) 144
Step-by-step explanation:
Since A is between Y and Z,
[tex]YZ = YA + AZ[/tex]
[tex]116 = 22 + 16x\\16x = 116 - 22\\16x = 144\\x = 9[/tex]
however, the question asks for [tex]the length of AZ[/tex], not the value of x.
Thus,
[tex]AZ = 16x[/tex]
[tex]AZ = 16\\[/tex] × [tex]9[/tex]
[tex]AZ = 144[/tex]