4 years ago

For which polygon is the sum of the interior angles equals to 720

Mathematics

1 answer:

Ugo [173]4 years ago

5 0

Answer:

Hexagon

Step-by-step explanation:

180°(n-2)

180°(6sides-2)

180°(4)

720°

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Let x = the number of $20 bills.

Then x + 6 = the number of $5 bills and

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$\begin{array}{rcl}20x + 5(x + 6) & = & 455\\20x + 5x + 30 & = & 455\\25x + 30 & = & 455\\25x & = & 425\\x & = &\dfrac{425}{25}\\\\x & = &\mathbf{17}\\\end{array}$

x = 17 = number of $20 bills

x + 6 = 17 + 6 = 23 = number of $5 bills

$\text{There were }\large \boxed{\textbf{17 \$20 bills and 23 \$5 bills}}$

Check:

$\begin{array}{rcl}20\times17+ 5(17 + 6) & = & 455\\340 + 5\times23& = & 455\\340 + 115 & = & 455\\455 & = & 455\\\end{array}$

OK.

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