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JulijaS [17]
3 years ago
15

Avery gets newsletters by e-mail. He gets one for sports every 5 days, one for model railroads every 10 days, and one for music

every 8 days. If he got all three today, how many more days will it be until he gets all three newsletters on the same day again?
Mathematics
1 answer:
vredina [299]3 years ago
3 0

Answer: its  40 days

good luck

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\angle1\cong\angle2 corresponding angles, therefore

m∠1 = m∠2 → m∠2 = 130°

\angle2\cong\angle3 vertical angles, therefore

m∠2 = m∠3 → m∠3 = 130°


If ∠1 and ∠2 are complementary, then m∠1 + m∠2 = 90°.

If ∠2 and ∠3 are complementary, then m∠2 + m∠3 = 90°

Therfore

m\angle1 + m\angle2 = m\angle2 + m\angle3\qquad|\text{subtract}\ m\angle2\ \text{ from both sides}\\\\m\angle1 = m\angle3\to\angle1\cong\angle3

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