Answer: A) 126.6
<u>Step-by-step explanation:</u>
Since we know ∠B = 85° and ∠C = 53°, we can use the Triangle Sum Theorem (angles of a triangle = 180°) to calculate ∠A.
∠A + ∠B + ∠C = 180
∠A + 85 + 53 = 180
∠A + 138 = 180
∠A = 42
Now we have:
A = 42 B = 85 C = 53
a = 85 b = ??? c = ???
We have all of the information for ∠A and side a so we can use the Law of Sines to find b (AC).

Answer:
Step-by-step explanation:
x=3
We know that 5 lbs of apples cost $2.99
To know how much do 3 lbs of apple cost, you can use cross multiplication
If 5 lbs cost $2.99
Then 3 lbs cost $x
The proportion between the price and the number of apples is the same, you have to calculate it as:

3 lbs of apples cost $1.79
Log(2x*12)=3
10^3=2x*12
1000=24x
1000/24=x
x=41.667
There is a designated formula for this circle drawing. This is a secant-secant scenario, and in this case, the formula is:
CD(CD+X)=CB(CB+AB)
Plug the values in.
AB=42
BC=18
CD=4
4(4+x)=18(18+42)
Solve for x.
16+4x=1080
4x=1064
x=266
Your answer is C