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Bas_tet [7]
3 years ago
15

A cyclist averages 18.5 miles per hour. how many minutes will it take for him to complete a 125 kilometer race?

Mathematics
1 answer:
rjkz [21]3 years ago
6 0
step 1
convert miles to km
1 mile is-----> 1.60934 km
18.5 miles/hour-----> 18.5*1.60934=29.77 km/hour

step 2
convert km/hour to km/minutes
29.77 km/hour--------> 29.77/60----> 0.4962 km/minutes

step 3
by proportion
0.4962 km/1 minutes=125 km/x minutes
0.4962 km----------> 1 minute
125 km-------------> x

x=125/0.4962----> x=251.91 minutes---------> x=251.9 minutes

the answer is
251.9 minutes

Alternative Method

step 1
convert km to miles
1 km is-----> 0.621371 miles
125 km-----> 125*0.621371--->77.67 miles

step 2
convert miles/hour to miles/minutes
18.5 km/hour--------> 18.5/60----> 0.3083 miles/minutes

step 3
by proportion
0.3083 miles/1 minutes=77.67 miles/x minutes
0.3083 miles----------> 1 minute
77.67 miles-------------> x

x=77.67/0.3083----> x=251.9 minutes

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Answer:

1) b and m

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Step-by-step explanation:

1) all straight lines sum to 180°

subtract the angles given from 180°

the other angle for b is 25°, while the other angle for m is 155°

so we can see that the angles for both lines are the same, hence they are parallel.

2) ∠8 should be the same as ∠6, ∠10 should be the same as ∠3, ∠7 same as ∠5 and ∠9 same as ∠4

in the options we are only given '∠8 should be the same as ∠6' as the correct answer, so we take that.

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