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Vsevolod [243]
3 years ago
5

Which of the following are remote interior angles of 1? Check all that apply. ASAP please

Mathematics
2 answers:
inysia [295]3 years ago
6 0

Answer:

The correct options are C and D.

Step-by-step explanation:

The remote interior angles are same as opposite interior angle.

In a triangle the remote angles of an exterior angle are the opposite interior angles of the exterior angle. For each exterior angle we have two remote angles.

Angle 1 is the exterior angle so its has two opposite interior angles.

Angle 3 and 4 are opposite interior angles of angle 1, therefore we can say that the angle 3 and 4 are remote interior angles of 1.

Options C and D are correct.

Slav-nsk [51]3 years ago
3 0

3 and 4 everyone

i did it myself

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Which of the following expressions is equal to 3x^2 + 27
Kisachek [45]
Factor: 
3x^2 + 27
= 3(x^2  + 9)
Answer is 3(x^2 + 9), when factored.


A) (3x + 9i)(x + 3i)
= (3x + 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + (9i)(x) + (9i)(3i)
= 3x^2 + 9ix + 9ix + 27i^2
= 27i^2 + 18ix + 3x^2



B) (3x - 9i)(x + 3i)
= (3x +  - 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + ( - 9i)(x) + (- 9i)(3i)
= 3x^2 + 9ix - 9ix - 27i^2
= 27i^2 + 3x^2


C) (3x - 6i)(x + 21i)
= (3x +  - 6i)(x + 21i)
= (3x)(x) + (3x)(21i) + (- 6i)(x) + ( -6i)(21i)
= 3x^2 + 63ix - 6ix - 126i^2
=  - 126i^2 + 57ix + 3x^2






D) (3x - 9i)(x - 3i)
=  (3x +   - 9)(x +  - 3)
= (3x)(x) + (3x)( - 3i) + (- 9)(x) + ( - 9)( - 3i)
= 3x^2 - 9ix - 9x + 27i
= 9ix + 3x^2 + 27i - 9x









Hope that helps!!!

8 0
3 years ago
Read 2 more answers
A yogurt company claims that it prints a free yogurt coupon under a randomly selected 20% of its lids. A loyal customer purchase
Alona [7]

Answer:

The customer can conclude that the company's claim is correct

Step-by-step explanation:

The percentage of lids that has a free yogurt coupon = 20%

The number of cups a loyal customer purchases = 85 yogurt cups

The number of cups that contained a coupon = 12 (14.1%)

The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes

The interval obtained = (0.044, 0.238)

Therefore, the range of proportion within which the true proportion exists is 0.044 < \hat p < 0.238

The range of percentage within which the true percentage exist is therefore;

0.044 × 100 = 4.4%  < \hat p × 100 < 0.238 × 100 = 23.8%

Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.

4 0
3 years ago
How do I graph the solution
notsponge [240]
Make the circle closed and the > needs to be underlined

8 0
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Kipish [7]

Answer:

about 120

Step-by-step explanation:

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Which angles are supplementary to each other?
user100 [1]

Answer:

Angles 2 and 3 are supplementary to each other

Step-by-step explanation:

A supplementary angle is 2 angles that when you add the sum is 180.

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