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I am Lyosha [343]
4 years ago
6

On a particular day, the wind added 2 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 2 miles

per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 63 miles with the wind, he could go only 51 miles against the wind.What is his normal bicycling speed with no wind?
Mathematics
1 answer:
Lera25 [3.4K]4 years ago
4 0
34= ( r + 4) * t
18 = ( r - 4) * t
solve for time in both equations
34/ (r + 4) = t
18 / (r - 4) = t
time is the same . so we can set them equal
34/ (r + 4) = 18 / (r - 4)

the answer is r = 13
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Answers:

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  • Angle Y = 142 degrees

Both angles are the same measure

===========================================================

Explanation:

We have a 5 sided polygon, so this is a pentagon.

For any pentagon, the five interior angles always add to 180(n-2) = 180(5-2) = 540 degrees. The formula 180(n-2) tells us the sum of the interior angles for any polygon with n sides.

The diagram shows the following angle values

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Both angles X and Y are equal to the same unknown value m. They are both the same measure because they both have the same arc marking.

Adding up those five angles should get us 540 as mentioned earlier

V+W+X+Y+Z = 540

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Let's solve for m

119+47+m+m+90 = 540

2m+256 = 540

2m = 540-256

2m = 284

m = 284/2

m = 142

Angle X has the measure of 142 degrees, and so does angle Y.

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