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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]