Answer:
b
Step-by-step explanation:
The correct answer is B)

Writing the sequence numerically, we have 4, 7, 10, ...
This is an arithmetic sequence, since there is a constant, 3, added each time. This gives us the explicit formula

Using the distributive property, we have

Combining like terms, we have
You need to use the Law of Cosines:
AC² = AB² + BC² - 2·AB·BC·cos(b)
Therefore, you get:
AC = √(90² + 80² - 2·90·80·cos(50)
=√5243.86
= 72.4 in
Now you can sum up all the sides in order to find the perimeter:
AB + BC + AC = 90 + 80 + 72.4 = 242.4 in
The correct answer is A) 242.4 in