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steposvetlana [31]
3 years ago
10

Solve the equation. 89=x+1/3(7)

Mathematics
2 answers:
mamaluj [8]3 years ago
5 0
Multiply both sides by 3
so it should look like this:
3x+7=267
now subtract 7 from each side so now it should look like this
3x=260
Now divide each side by 3
and you will get 

x=260/3
sesenic [268]3 years ago
5 0
X= 260/3...............................
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Which statement best explains why the dilation of a triangle produces a similar triangle
Allushta [10]

Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle

<u>Step-by-step explanation:</u>

The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.

  • If | k |> 1, the dilation is an extension.
  • If | k | <1 it is reduction.

The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.

If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.

6 0
3 years ago
Suppose the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars
GuDViN [60]

Answer:

Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

Step-by-step explanation:

We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.

<em>Let X = incomes for the industry</em>

So, X ~ N(\mu=95,\sigma^{2}=5^{2})

Now, the z score probability distribution is given by;

         Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean income of firms in the industry = 95 million dollars

            \sigma = standard deviation = 5 million dollars

So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)

    P(X < 100) = P( \frac{X-\mu}{\sigma} < \frac{100-95}{5} ) = P(Z < 1) = 0.8413   {using z table]

                                                     

Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

5 0
3 years ago
Need help ASAP! Directions in picture ;)
Nat2105 [25]

Answer:

m < 8 = 54.4°

Step-by-step explanation:

4 0
2 years ago
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Volume of pyramids and cones day 1
enyata [817]
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and the volume of the pyramid is = V= l w h/3
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can I get a brainleist 
3 0
3 years ago
Mathematics with applications in the management, Natural, and Social Sciences Twelfth edition
Fiesta28 [93]

Answer: 2014

Step-by-step explanation:

LED: -25x + 6y = 20

CFL: 15x + 2y = 322

we need to find which year it was the same to know where LED lighting surpassed  CFL lighting

-25x + 6y = 20

15x + 2y = 322 (-3)

-25x + 6y = 20

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-70x = -946

x = 13.51

The nearest year would be 14 which is 2014

8 0
3 years ago
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