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4 years ago

I’m really stuck on this problem. please explain the work! 4y-70=12y+2 thanks :)

Mathematics

2 answers:

Trava [24]4 years ago

5 0

You’re answer for this problem will be -9

JulijaS [17]4 years ago

5 0

Answer:

y = -9

Step-by-step explanation:

4y - 70 = 12y + 2

Add 70 to both sides

4y - 70 + 70 = 12y + 2 + 70

simplify

4y = 12y + 72

subtact 12y from both sides

4y - 12y = 12y + 72 - 12y

simplify

-8y = 72

divide both sides by -8

-8y divided by -8 = 72 divided by -8

solve

y = -9

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(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

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Then:

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Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

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Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

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Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

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Let the fifth angle=x

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$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

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In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

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