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ElenaW [278]
2 years ago
8

How long will it take a passenger train traveling at 160 miles per hour to travel from Denver, Colorado to Lincoln, Nebraska? Th

e distance between the two cities is 488 miles
Mathematics
1 answer:
Vsevolod [243]2 years ago
4 0
Set up a proportion
\frac{160 mi}{1hr} =  \frac{488mi}{X hrs} 

So you multiply 488*1=488
Then 488/160=3.05 hours.

:)
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ahrayia [7]
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Proof:
In triangles ABC and DBE,
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AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)

Thus triangles ABC and DBE are similar in the ratio 2:1

Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)

If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4

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