The calculated value of the length of the segment EC is d. 35 units
How to determine the length of the segment EC
From the question, we have the following parameters that can be used in our computation:
The line segments
Using the segment addition postulate, we have the following equation
EC = EB - CB
Where
EB = 49
CB = DB - BC
Substitute the known values into the equation
CB = 30 - 16
CB = 14
So, we have
EC = 49 - 14
Evaluate
EC = 35
Hence, the length of the segment EC is 35 units