Answer:
AC = 12.38 cm
Step-by-step explanation:
When there are 2 pairs given, we can use the sine rule to solve the problem.
By pairs we mean "an angle and side opposite to it"
<em>1 pair is 85.2 degree angle and 13 cm, and another pair is 71.6 degree angle and the side AC (which we want to figure out).</em>
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Sine Rule is given by 
where,
A and B are the two respective angles and a and b are the two respective sides (of the pairs). Plugging all the info and using algebra, we have:

Thus, AC = 12.38 cm
Answer:
First term a = 41
Step-by-step explanation:
Arithmetic Progression:
Common differences d = -2
![S_{n}=\frac{n}{2}(2a+[n-1]d)\\\\S_{20}=\frac{20}{2}(2a+19*[-2])\\\\](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%282a%2B%5Bn-1%5Dd%29%5C%5C%5C%5CS_%7B20%7D%3D%5Cfrac%7B20%7D%7B2%7D%282a%2B19%2A%5B-2%5D%29%5C%5C%5C%5C)
= 10*(2a - 38)
= 10*2a - 10*38
=20a - 380
![S_{22}=\frac{22}{2}(2a+21*[-2])\\\\](https://tex.z-dn.net/?f=S_%7B22%7D%3D%5Cfrac%7B22%7D%7B2%7D%282a%2B21%2A%5B-2%5D%29%5C%5C%5C%5C)
= 11 (2a -42)
=11*2a - 11*42
= 22a - 462

22a - 462 = 20a - 380
22a = 20a - 380 + 462
22a = 20a + 82
22a - 20a = 82
2a = 82
a = 82/2
a = 41
First term a = 41
Answer:
This is long ill write up a short summary of the answer in 2 mins
Step-by-step explanation: