Can two vertical angles form a linear pair?

1 answer:

6 0

Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but do not overlap.) A Linear Pair is two adjacentangles whose non-common sides form opposite rays. ... ∠1 and ∠3 are not vertical angles (they are a linear pair).

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Express this to single logarithm

zzz [600]

Answer: $\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)$

We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.

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Explanation:

It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.

I'm going to use these three log rules, which apply to any base.

log(A) + log(B) = log(A*B)
log(A) - log(B) = log(A/B)
B*log(A) = log(A^B)

From there, we can then say the following:

$\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}$

8 0

3 years ago

Fill in the blank with the phrase that makes the proof statement true.

melamori03 [73]

Answer:

the two angels are bisect each other

5 0

3 years ago

Vincent borrowed $500 from Mitchell for six months. How much interest will Mitchell earn if he charges Vincent a simple interest

tresset_1 [31]

Principal P = $500, Rate = 3 % = 3/100 = 0.03 would assume per year,
Time t = 6 months = (6/12) year = 0.5 year.

Simple Interest, I = P*r*t

= 500*0.03*0.5 = 7.5

And so therefore your answer is 7.5

4 0

4 years ago

Mr. And Mrs ikan deposited $15,000 into college savings accounts with an annual compound interest rate 5.25% when their daughter

m_a_m_a [10]

Answer:

$37,650

Step-by-step explanation:

A=15000(1+0.0525)^18

A=15000(2.51)

A=37650

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3 years ago

Which will result in a perfect square trimonial?

Veronika [31]

Answer:

is there suppose to be a picture

Step-by-step explanation:

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3 years ago