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3 years ago

If two parallel lines are cut by a transversal, then would the same side interior angles ever be congruent?

Mathematics

1 answer:

Sholpan [36]3 years ago

6 0

Answer:

Step-by-step explanation:

Yes!

If the traversal is perpendicular to the parallel lines.

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Area unit conversion with whole numbers value 5 yards long and 4 wide = what in square feet?

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4 years ago

Find the multiplicative inverse of 6 + 2i

Marina CMI [18]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2774989

________________

Find the multiplicative inverse of

$\mathsf{z=6+2i}$

________

The inverse multiplicative of $\mathsf{z=a+bi}$ is

$\mathsf{\dfrac{1}{z}}\\\\\\
=\mathsf{\dfrac{1}{a+bi}\qquad\quad(a\ne 0~~and~~b\ne 0)}\\\\\\
=\mathsf{\dfrac{1}{a+bi}\cdot \dfrac{a-bi}{a-bi}}\\\\\\
=\mathsf{\dfrac{1\cdot (a-bi)}{(a+bi)\cdot (a-bi)}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2-\,\diagup\hspace{-10}abi+\,\diagup\hspace{-10}abi-(bi)^2}}$

$=\mathsf{\dfrac{a-bi}{a^2-b^2\cdot i^2}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2-b^2\cdot (-1)}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2+b^2}}\\\\\\\\
\therefore~~\mathsf{\dfrac{1}{a+bi}=\dfrac{a}{a^2+b^2}-\dfrac{b}{a^2+b^2}\,i\qquad\quad\checkmark}$

________

For this question,

$\mathsf{z=6+2i}$

So,

$\mathsf{\dfrac{1}{z}}\\\\\\
=\mathsf{\dfrac{1}{6+2i}}\\\\\\
=\mathsf{\dfrac{6}{6^2+2^2}-\dfrac{2}{6^2+2^2}\,i}\\\\\\
=\mathsf{\dfrac{6}{36+4}-\dfrac{2}{36+4}\,i}\\\\\\
=\mathsf{\dfrac{6}{40}-\dfrac{2}{40}\,i}$

$\therefore~~\mathsf{\dfrac{1}{z}=\dfrac{3}{20}-\dfrac{1}{20}\,i}\quad\longleftarrow\quad\textsf{this is the answer.}$

I hope this helps. =)

6 0

3 years ago

Read 2 more answers

PLEASE HELP AS SOON AS POSSIBLE!

ad-work [718]

Step-by-step explanation:

(i) 240 ÷ 4000 = 0.06

(ii) 760 ÷ 4000 = 0.19

(iii) (20 + 10) ÷ 4000 = 0.0075

I guess this is the answer

i am not sure!!!!

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2 years ago

Pamela is doing a probability experiment with a box of colored paperclips comprised of red, green, blue, and yellow paperclips.

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Answer:

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Step-by-step explanation:

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3 years ago

Solve the absolute value inequality.<br> |1x + 7|> 3

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Step-by-step explanation:

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3 years ago