3 years ago

Given: \overline{AE} \parallel \overline{FD},

Mathematics

1 answer:

MariettaO [177]3 years ago

3 0

Answer:

See below for answer.

Step-by-step explanation:

∠ECB ≅ ∠FBC Parallel lines cut by a transversal form congruent alternate

interior angle

Δ AEC ≅ Δ DFB ASA

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ladessa [460]

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Step-by-step explanation:

Let x = width of the wall.

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Since , Area of rectangle = length x width

Then, as per given,

$252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9$

Since width cannot be negative , so x = 9

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Hence, length is 28 feet and width is 9 feet of the wall of the barn.

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3 years ago

Aluminum gold is 22% aluminum; the rest is gold. If aluminum gold bar contains 55g of aluminum, how many grams of gold does it c

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Answer:

Step-by-step explanation:

If you think about it, $17^{2} \\$ is 17×17

Hope this helps!

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