Answer:
c. 12x; 111 cm
Step-by-step explanation:
The regular dodecagon has 12 sides. Each side has a length of x=9.25 cm, and we know that the perimeter of the figure is the sum of the lengths of all the sides: Therefore, since we have 12 sides, the perimeter will be given by the product between the length of each side, x, and the number of sides, 12:
and if we substitute x = 9.25 cm, we find
Using the recursion equation, it is found that the value of the 2nd iterate is:
The value of the nth iteration is given by:
The initial estimate is:
Hence, the 1st iterate is given by:
The 2nd iterate is:
Thus, the fourth option is correct.
You can learn more about recursive equations at brainly.com/question/6561461