2 years ago

The diagram shows a regular pentagon

Mathematics

1 answer:

Triss [41]2 years ago

5 0

Answer:

a = 540°

b= 180°

Step-by-step explanation:

a= pentagon has 5 sides which means 180 × 5= 540

b= 540÷5=180

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Answer:

$\large\boxed{32\ is\ 90\%\ of\ 35\dfrac{5}{9}}$

Step-by-step explanation:

<h3>METHOD 1:</h3>

$\begin{array}{ccc}32&-&90\%\\\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\90x=3200\qquad\text{divide both sides by 90}\\\\x=\dfrac{3200}{90}\\\\x=\dfrac{320}{9}\\\\x=35\dfrac{5}{9}$

<h3>METHOD 2:</h3>

$\begin{array}{cccc}32&-&90\%&\text{divide both sides by 9}\\\\\dfrac{32}{9}&-&10\%\end{array}\\\\\\90\%+10\%=100\%\to32+\dfrac{32}{9}=32+3\dfrac{5}{9}=35\dfrac{5}{9}$

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