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aesthetickait
05.11.2020 •
Mathematics
A label on a can is wrapped so that the ends meet without overlapping. If the length of the label is 16 in., which of the following is the best approximation of the radius of the can?
A. 2.5 in.
B. 4 in.
C. 5 in.
D. 8 in.
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Ответ:
9514 1404 393
KL = 27JK = 16MK = 30NL = 23∠JKL = 132°∠KLJ = 22°∠KMJ = 54°∠KJL = 26°Step-by-step explanation:
The useful relations are ...
opposite angles are congruentalternate interior angles are congruentthe diagonals bisect each otheropposite sides are congruent__
JM = KL = 27
ML = JK = 16
2·NK = 2·15 = MK = 30
1/2·JL = 1/2·46 = NL = 23
__
180° -∠KLM = 180° -48° = ∠JKL = 132°
∠MJL = ∠KLJ = 22°
180° -∠KJM -∠JKM = 180° -48° -78° = ∠KMJ = 54°
∠KLM -∠MJL = 48° -22° = ∠KJL = 26°
Additional comment
JL > JM + ML, so those lengths do not form a triangle. The figure is impossible.