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Gnoma [55]
3 years ago
9

A rectangular athletic field is three times as long as it is wide. If the perimeter of the athletic field is 128 yards, what are

the dimensions?
Mathematics
1 answer:
larisa [96]3 years ago
4 0
Length=3x
Width=x
3x+x+3x+x=128
8x=128
Divide both sides by 8
x=16
3(x)
3(16)=58
Width= 16 yards
Length= 58 yards
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KengaRu [80]

Answer:

x=4.77

Angle 3=98.32 degrees

Angle 6= 81.68 degrees

Step-by-step explanation:

(Assuming these are parallel lines), Angle 3 and angle 5 are equal because they are alternate Angles. Therefore we can write the following equation to solves for x:

16x+22=3x+84 (angle 3=angle5)

Which we can now solve:

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We can then use this x to calculate angle 3:

16(4.77)+22

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Angle 6 and angle 3 are interior angles, so they add up to 180 degrees.

So to find angle 6,we can just subtract angle 3 from 180:

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Hope this helped!

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