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Tatiana [17]
2 years ago
6

Find the value of b.

Mathematics
2 answers:
allsm [11]2 years ago
4 0

Step-by-step explanation:

b + 35° = 180° ( supplementary angle )

b = 180° - 35°

b = 145°

Trava [24]2 years ago
3 0

Answer: \Large\boxed{b=145^\circ}

Step-by-step explanation:

<u>Given information</u>

∡1 = 35°

∡b = ?

Total Angle = 180° (Supplementary Angle)

<u>Derived formula from the given information</u>

∡1 + ∡b = Total Angle

<u>Substitute values into the given formula</u>

(35) + b = 180

<u>Subtract 35 on both sides</u>

35 + b - 35 = 180 - 35

\Large\boxed{b=145^\circ}

Hope this helps!! :)

Please let me know if you have any questions

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The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

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Step-by-step explanation:

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If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

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–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

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\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

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Sum of squares of differences =

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Answer:

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