Answer:
B
Step-by-step explanation:
∠ABC= 180° -142° (adj. ∠s on a str. line)
∠ABC= 38°
∠BAC= 180° -133° (adj. ∠s on a str. line)
∠BAC= 47°
∠ACB= 180° -38° -47° (∠ sum of △)
∠ACB= 95°
n°= 180° -95° (adj. ∠s on a str. line)
n°= 85°
n= 85
The equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)
<h3>How to determine the equation of the model?</h3>
The partially completed model is given as:
| n
| n²
5 | 5n | 40
By dividing the rows and columns, the complete model is:
| n | 8
n | n² | 8n
5 | 5n | 40
Add the cells, and multiply the leading row and columns
n² + 8n + 5n + 40 = (n + 8)(n + 5)
This gives
n² + 13n + 40 = (n + 8)(n + 5)
Hence, the equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)
Read more about polynomials at:
brainly.com/question/4142886
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We are given:
The ratios of the number of hybrid vehicles to the total number of vehicles in the lot over a weekend (3 days) are equivalent.
This means that if on day 1, 100 hybrid cars parked and there are 300 cars in total, the ratio is 1 is to 3.
Therefore, on day 2 and 3, we can determine the number of hybrid cars parked given the total number of cars parked using the ratio, and vice versa.
There are a total of 16 movies to choose from and 6 of them are comedy. This means that you have a 38% of choosing comedy. But the chances of you not choosing comedy is 62%. And since your friend is also choosing, the chance of neither of you not choosing is cut in half.
So, the final answer of neither of you choosing comedy is 31%
(I don't know whether it's dependent or independent)