Answer:
C
Step-by-step explanation:
A
(m² - 3m + 2) / (m² - m)
we see due to a little bit of experience with expressions and multiplications of expressions that
(m² - 3m + 2) = (m - 2)(m - 1)
(m² - m) = m(m - 1)
so,
(m - 2)(m - 1) / (m(m - 1)) = (m - 2) / m
so, that's not it.
B
(m² - 2m + 1) / (m - 1)
we see again
(m² - 2m + 1) = (m - 1)(m - 1)
so,
(m - 1)(m - 1) / (m - 1) = m - 1
so, that's not it.
C
(m² - m - 2) / (m² - 1)
we see again
(m² - m - 2) = (m - 2)(m + 1)
and
(m² - 1) = (m + 1)(m - 1)
so,
(m - 2)(m + 1) / ((m + 1)(m - 1)) = (m - 2) / (m - 1)
yes, that is the solution.
D
(2m² - 4m) / (2(m - 2))
2m(m - 2) / (2(m - 2)) = 2m/2 = m
no, that is not a solution.
Answer:
context?
Step-by-step explanation:
theres no graph to choose from
Answer:
19 birds
Step-by-step explanation:
First, I wrote my two equations:
5.5x +8.5y = 291.5
x + y = 41
Next, I got the variable y by itself in the second equation. Subtract x to get y = -x + 41. Then, I substituted what y equaled into the first equation. It should look like this: 5.5x + 8.5(-x+41) = 291.5. Distribute 8.5 to get 5.5x -8.5x + 348.5 = 291.5. Subtract 5.5x and 8.5x to get -3x. It should look like this: -3x + 348.5= 291.5. Subtract 348.5 from 291.5 to get -57. Now, you should have -3x = -57. Divide -3 from both sides, to get x = 19. So, there are 19 birds. If you want to go even further, 41-19= 22, which means there are 22 cats. Hope this helped!
Answer:
The measure of an interior angle of a regular 12-gon is 150°.
Hence, option 'C' is correct.
Step-by-step explanation:
We need to determine the measure of an interior angle of a regular 12-gon.
- We know that the number of sides in a regular 12-gon = n = 12
Thus,
Using the formula to determine the measure of an interior angle of a regular 12-gon is given by
(n - 2) × 180° = n × interior angle
substitute n = 12
(12 - 2) × 180 = 12 × interior angle
10 × 180 = 12 × interior angle
Interior angle = (10 × 180) / 12
= 1800 / 12
= 150°
Therefore, the measure of an interior angle of a regular 12-gon is 150°.
Hence, option 'C' is correct.
Answer:
n=2/3
Step-by-step explanation:
n=1/2÷3/4
n=1/2×4/3
n=4/6
n=2/3
