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3 years ago

URGENT PLEASE HELP ME ASAP, ITS DUE TODAY!!!

Mathematics

1 answer:

vladimir2022 [97]3 years ago

8 0

Answer:

Construct MN.

Since M is the midpoint of OA, OM = MA

Similarly, N is the midpoint of OB.

Thus, ON = NB.

Now, in Δs OMN and OAB,

∠MON = ∠AOB (common angle)

(sides are in proportional ratio; OA = 2OM and OB = 2ON)

∴ Δs OMN and OAB are similar (2 sides are in proportion, with the included angle)

Since they are similar, then ∠OMN = ∠OAB (corresponding angles of similar triangles are equal)

But since ∠OMN = ∠OAB, then that means MN || AB (corresponding angles of two lines must be equal since they also sit relative to the transverse line, OA)

Thus, AB || MN (QED)

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Answer:

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Step-by-step explanation:

<u>Logarithms</u>

There are certain properties of the logarithms we'll need to recall in order to simplify the expression given in the question. We'll list them below

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We'll also need to factor the following numbers into their prime factors:

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The original expression is

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Plugging in the factored values

$\displaystyle E=log(2^2\cdot 5)+16log\frac{2^4}{3\cdot 5}+12log\frac{5^2}{2^3\cdot 3}+log\frac{3^4}{2^4\cdot 5}$

Applying the properties we have

$\displaystyle E=log2^2+log 5+16(log2^4-log3-log 5)+12(log5^2-log2^3-log 3)+log3^4-log2^4-log 5$

$\displaystyle E=2log2+log 5+16log2^4-16log3-16log 5+12log5^2-12log2^3-12log 3+log3^4-log2^4-log 5$

$\displaystyle E=2log2+log 5+64log2-16log3-16log 5+24log5-36log2-12log 3+4log3-4log2-log 5$

Simplifying

$\boxed{\displaystyle E=26log2-24log3+8log 5}$

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4 years ago

5[x-(4x-5)]=3-8x <br> Solving for x

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3 years ago

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Answer:

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Step-by-step explanation:

Here are the remaining steps to complete the construction.

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3 years ago

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3 years ago

You want to buy three books that are on sale at 20% off. The original prices of the books are $2.50, $4.95, and $6.00. How much

Veseljchak [2.6K]

Answer:

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3 years ago

***URGENT*** PLEASE HELP ME ASAP, ITS DUE TODAY!!!

URGENT PLEASE HELP ME ASAP, ITS DUE TODAY!!!