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3 years ago

What is the measure of angle 7?

Mathematics

1 answer:

Ratling [72]3 years ago

8 0

m<1 = m<4 by vertical angles theorem

3x + 10 = 4x - 15

-1x = -25

x = 25

m<1 + m<7 = 180 if parallel alternate interior angles supplementary

3x + 10 + m<7 = 180

3(25) + 10 + m<7 = 180

75 + m<7 = 180

m<7 = 105°

Hope this helps! ;)

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Answer:

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Step-by-step explanation:

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8 0

3 years ago

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Blababa [14]

Hi there! :)

Answer:

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*The answer must have a positive sign.*

Step-by-step explanation:

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3 years ago

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Nonamiya [84]

Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?

posledela

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

$\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\$

$Since\ \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0$

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3 years ago