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Montano1993 [528]
2 years ago
7

What is the measure of x?

Mathematics
2 answers:
zalisa [80]2 years ago
6 0

Answer:

138 degrees, hope this helps :)

Step-by-step explanation:

Goryan [66]2 years ago
3 0

Answer:

x=138°

Step-by-step explanation:

x=70°+68°=138°

The outer angle is equal to the sum of the two non-adjacent angles

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CAN SOMEONE PLEASE HELP!!! :c thank you in advance!
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Lines A and B are parallel to each other. Lines B and E are perpendicular to each other. 
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3 years ago
Find a compact form for generating functions of the sequence 1, 8,27,... , k^3
pantera1 [17]

This sequence has generating function

F(x)=\displaystyle\sum_{k\ge0}k^3x^k

(if we include k=0 for a moment)

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k

Take the derivative to get

\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k

\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k

Take the derivative again:

\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k

\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k

Take the derivative one more time:

\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k

\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k

so we have

\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}

5 0
3 years ago
ANSWER PLLLLEEEEAAASSSEEE
Whitepunk [10]

Answer:

30%

Step-by-step explanation:

4 0
2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Please help. Thank you
shepuryov [24]

complementary is 90 degrees. so, you combine like terms.

7 0
2 years ago
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