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creativ13 [48]
3 years ago
5

WILL GIVE BRAINLIEST! DO NOT COPY ANSWERS OFF INTERNET

Mathematics
2 answers:
Dima020 [189]3 years ago
7 0

Answer:

Option A    

Step-by-step explanation:

angles ABD and DBC are complementary                     given

angle ABD=50 degrees                                                   given

angles ABD and DBC = 90 degrees                              def. of complementary

angle DBC = 40 degrees                                                algebra (90-50=40)

angles EBF and ABD are vertical angles               vertical angles postulate

angle EBF is congruent to angle ABD                           def. of vertical angles

angle EBF = 50 degrees                                                def. of congruence

angles EBF and ABF are a linear pair                            def. of linear pair

angles EBF and ABF are supplementary                       def. of linear pair

angles EBF and ABF = 180                                              def. of supplementary

angle ABF = 130 degrees                                                algebra (180-50=130)

angles ABF and EBD are vertical angles                   vertical angles postulate

angles ABF and EBD are congruent                               def. of vertical angles

angle EBD = 130 degrees                                                def. of congruence

angles CBE + DBC = EBD                                                diagram

angles CBE + DBC = 130 degrees               transitive property of congruence                

angle ABD = 90                                            algebra (130-40=90)

B is needed in the process, but the main statement that actually does the justification is A, so option A

Ivahew [28]3 years ago
5 0

Answer:

ITS EITHER B OR C but im 75 percent sure its b

Step-by-step explanation:

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Step-by-step explanation:

(-3,-3) ; (8,-3)

Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-[-3]}{8-[-3]}\\\\=\frac{-3+3}{8+3}\\\\=0

Slope = 0. so, the line is parallel to x-axis

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Eight less than the product of seven x
lisabon 2012 [21]

Answer:

2x - 8

Step-by-step explanation:

Product of two and a number x

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⇒ 2x

Eight less than 2x

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2 years ago
What is the slope of the line through (-9, 6) and (-3, 9)?<br> Choose 1 answer:
trasher [3.6K]

Given: Points (-9, 6) and (-3, 9)

Find:  The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula.  This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

<u>Plug in the values</u>

  • m = \frac{y_2 - y_1}{x_2 - x_1}
  • m = \frac{9 - 6}{-3 - (-9)}

<u>Simplify the expression</u>

  • m = \frac{3}{-3 + 9}
  • m = \frac{3}{6}
  • m = \frac{1}{2}

Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.

4 0
1 year ago
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Suppose that your business is operating at the 4.5-Sigma quality level. If projects have an average improvement rate of 50% annu
Luda [366]

Answer:

  11.75 years

Step-by-step explanation:

If we ignore the fact that "6-sigma" quality means the error rate corresponds to about -4.5σ (3.4 ppm) and simply go with ...

  P(z ≤ -6) ≈ 9.86588×10^-10

and

  P(z ≤ -4.5) ≈ 3.39767×10^-6

the ratio of these error rates is about 0.000290372. We're multiplying the error rate by 0.5 each year, so we want to find the power of 0.50 that gives this value:

  0.50^t = 0.000290372

  t·log(0.50) = log(0.00290372) . . . . take logarithms

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It will take about 11.75 years to achieve Six Sigma quality (0.99 ppb error rate).

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<em>Comment on Six Sigma</em>

A 3.4 ppm error rate is customarily associated with "Six Sigma" quality. It assumes that the process may have an offset from the mean of up to 1.5 sigma, so the "six sigma" error rate is P(z ≤ (1.5 -6)) = P(z ≤ -4.5) ≈ 3.4·10^-6.

Using that same criteria for the "4.5-Sigma" quality level, we find that error rate to be P(z ≤ (1.5 -4.5)) = P(z ≤ -3) ≈ 1.35·10^-3.

Then the improvement ratio needs to be only 0.00251699, and it will take only about ...

  t ≈ log(0.00251699)/log(0.5) ≈ 8.6 . . . . years

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