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Ad libitum [116K]
2 years ago
13

If angles A and B are consecutive interior angles, what is the measure of

Mathematics
1 answer:
n200080 [17]2 years ago
8 0

Answer:

A. 105°

Step-by-step explanation:

Consecutive interior angles are angles that are supplementary, meaning they add up to 180°. If one angle is worth 75°, to find the other angle, we subtract 75 from 180 to get the angle measure.

  • 180-75
  • 105

Therefore, the answer is A.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Brian receives supplies for his pretzel business weekly. he usually works concession at three events a week and averages sales o
Kisachek [45]
The correct answer is a) $382.50.

He works 3 events and averages 150 pretzels; this is 3(150) = 450 pretzels.  Since his cost is $0.85 each, we have
450(0.85) = 382.50
8 0
3 years ago
Read 2 more answers
If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)?
DerKrebs [107]
<span>The value of (f/g)(x) is determined by dividing the polynomial f(x) by the polynomial g(x) which is only equal to -x2. If we divide the first term of f(x), x4, with -x2, we arrived with an answer of -x2. For the second term, we arrive with the answer x. Similarly for the third term, we derive with an answer that is -1. Combining all the answers, we have -x2 + x - 1.</span>
4 0
3 years ago
Read 2 more answers
The statistical difference between a process operating at a 5 sigma level and a process operating at a 6 sigma level is markedly
Svet_ta [14]

Answer:

True

Step-by-step explanation:

A six sigma level has a lower and upper specification limits between \\ (\mu - 6\sigma) and \\ (\mu + 6\sigma). It means that the probability of finding no defects in a process is, considering 12 significant figures, for values symmetrically covered for standard deviations from the mean of a normal distribution:

\\ p = F(\mu + 6\sigma) - F(\mu - 6\sigma) = 0.999999998027

For those with defects <em>operating at a 6 sigma level, </em>the probability is:

\\ 1 - p = 1 - 0.999999998027 = 0.000000001973

Similarly, for finding <em>no defects</em> in a 5 sigma level, we have:

\\ p = F(\mu + 5\sigma) - F(\mu - 5\sigma) = 0.999999426697.

The probability of defects is:

\\ 1 - p = 1 - 0.999999426697 = 0.000000573303

Well, the defects present in a six sigma level and a five sigma level are, respectively:

\\ {6\sigma} = 0.000000001973 = 1.973 * 10^{-9} \approx \frac{2}{10^9} \approx \frac{2}{1000000000}

\\ {5\sigma} = 0.000000573303 = 5.73303 * 10^{-7} \approx \frac{6}{10^7} \approx \frac{6}{10000000}  

Then, comparing both fractions, we can confirm that a <em>6 sigma level is markedly different when it comes to the number of defects present:</em>

\\ {6\sigma} \approx \frac{2}{10^9} [1]

\\ {5\sigma} \approx \frac{6}{10^7} = \frac{6}{10^7}*\frac{10^2}{10^2}=\frac{600}{10^9} [2]

Comparing [1] and [2], a six sigma process has <em>2 defects per billion</em> opportunities, whereas a five sigma process has <em>600 defects per billion</em> opportunities.

8 0
3 years ago
Divison probem that equals 36
DerKrebs [107]
36 Divided by 6 :]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
4 0
3 years ago
Read 2 more answers
Please help with this asap!! :)
Llana [10]

Answer:

x = 11

Step-by-step explanation:

Given :

AB = x + 5

BC = 2(x - 3)

AB = BC

AB = BC

x + 5 = 2(x - 3)

x + 5 = 2x - 6

5 + 6 = 2x - x

     11 = x

     x = 11

happy to help :)

3 0
3 years ago
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