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harina [27]
2 years ago
6

Rewrite the following equations in the form y=mx + b and identify the values of m and b

Mathematics
1 answer:
arlik [135]2 years ago
5 0
You need to put the equations?
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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of
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Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

A=\frac{\sqrt{3} }{4} a^{2}

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a₁ = 1.2a

Then, its area is

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A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}

Triangle DEF is 20% smaller than the original, which means its side is:

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A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}

A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}

Now, comparing areas:

\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )

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<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>

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2 years ago
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Find the four arithmetic means between 100 and 135.
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