3 years ago

Please help me, Identify each pair of angles named below as adjacent angles or vertical angles.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

5 0

Adjacent angles:

-ADB and BDC

-BDC and CDE

-CDE and EDF

-FDG and GDA

-GDA and ADB

Vertical angles:

-GDA and CDE

-FDE and ADB

-GDF and BDC

Hope this helps! :)

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The dimension of box= $2ft\times 2ft\times 1ft$

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box= $lbh=x^2h$

$4=x^2h$

$h=\frac{4}{x^2}$

Now, surface area of box,A= $x^2+4xh$

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$2x-\frac{16}{x^2}=0$

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Substitute x=2

$\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0$

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h= $\frac{4}{2^2}=1 ft$

Hence, the dimension of box= $2ft\times 2ft\times 1ft$

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