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Fantom [35]
2 years ago
12

What is the area of pentagon ABCDE? A(-2,-1),B(-2,3),C(3,5),D(5,3),E(5,-1)

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
4 0
A_{ABCDE}=A_{ABDE}+A_{BCD}=7\times4+ \frac{7\times2}{2} =35
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Step-by-step explanation:

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d = number of dimes in the pile

we know the pile has 55 coins, therefore whatever "n" and "d" are, we know that n + d = 55.

now, "n" is how many nickel coins are there, how many pennies is it in total?  well, 5 pennies to a nickel, for "n" nickels, will then be 5(n) or 5n.

and "d" is how many dime coins are there, so therefore in "d" coins, there are 10(d) pennies, or 10d.

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\bf \begin{cases}&#10;n+d=55\implies \boxed{n}=55-d\\&#10;5n+10d=390\\&#10;-------------\\&#10;5\left(\boxed{55-d}  \right)+10d=390&#10;\end{cases}&#10;\\\\\\&#10;275-5d+10d=390\implies 5d=115\implies d=\cfrac{115}{5}\implies d=23

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