17 x 2 = 34
34 - 5 = 29
34 - 29 = 5
So Shanice had 29 hats on Monday
Step-by-step explanation:
Find angle W first:
37 + 93 + W = 180 ---> W = 50°
Use sine law to find the length w:
w/(sin 50) = 31/(sin 37)
w = 31(sin 50/sin 37)
= 39.5
We need the exact value of
to find a proper solution, but a general one can still be found. Subtracting the first equation from the second gives
Plug this into either equation and you get
(It's guaranteed that
in this case because that already corresponds to
.)
The answer you’re looking for is x=145.
Every circle adds up to 360 degrees. The only measurement that we know is 70, but the congruent markings tell us that the unknown “sides” are the same. Therefore, you’d take 360-70=290. There are 290 degrees around the unknown part of the circle, which we then divide by 2 to get 145 degrees total. I hope this helped, let me know if I can explain anymore:)
