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Feliz [49]
3 years ago
10

City Park is in the shape of a regular pentagon.Each side of the pentagon is 2/5 mile long.What is the perimeter of City Park?

Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0
So you have 5 sides you can add 2/5+2/5+2/5+2/5+2/5 = 10/5 = 2 miles around the park. Or you can multiply 5 sides (pentagon) times each side of 2/5 mile thus..... 5*2/5 = 10/5 = 2 so this is also 2 miles around the perimeter.
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{\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

Let ,

1st∠ = (x + 18)°

2nd∠ = x°

3rd∠ = 4x°

so ,

⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:108°\:=\:180°

⟶\:6x°\:=\:180°\:-\:108°

⟶\:6x\:=\:72°

⟶\:x\:=\:\frac{72}{6} \\

⟶\:x\:=\:12°

substituting x = 12 at the place of x .

= x° + 18°

= 12° + 18 °

1st∠ = 30°

__________________________________

= x°

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__________________________________

= 4x°

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