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Answer:

Step-by-step explanation:
The nth term of the given arithmetic sequence is

The first term of this series is:

The last term of this series is when



The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

Where a=5 is the first term and l=27 is the last term.


In the figure below
1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

Where

Thus,

thus, BC = 7.5
2) BX = 9, BA = 15, BY = 15, YC = y
In the above diagram,

Thus, from the theorem of similar triangles,

solving for y, we have

thus, YC = 10.
Answer:
b. 720
Step-by-step explanation: