Answer:
2√2
Step-by-step explanation:
< C = 180-15-45 = 120°
AC/sin 45° = AB/sin 120°
AC = 2√3 × sin 45° / sin 120°
= 2√3 × ½√2 / ½√3
= 2√2
The given angles are
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees
M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68
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So in summary so far
M = 64
N = 48
P = 68
The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48
The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68
The medium side is opposite the medium angle. So NP is the medium side length
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Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary
The ascending order would be: MP, NP, MN
Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter
<span>Since one standard deviation is 20 luggages, 3 standard deviations above the mean is 3*20=60 luggages above the mean of 380 luggages, so 60+380 gives the answer C, 440.</span>
<span>A foot per second is a unit of speed. Something traveling one foot per second is traveling 0.3048 meters per second, or about 0.682 miles per hour. hope this helped please mark me as the brainliest answer
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2x+79+32=180
2x+111=180
2x=69
x=34.5