Answer:
x = 54
y = 47.5
Step-by-step explanation:
If two lines p and q are parallel and line r is a transversal intersecting these lines at two different points,
(x + 56)° = (2x + 2)° [corresponding angles]
2x - x = 56 - 2
x = 54
Similarly, lines r and s are parallel lines and q is a transversal line intersecting these lines,
(y + 7)° + (3y - 17)°= 180° [Consecutive exterior angles]
4y - 10 = 180
4y = 190
y = 47.5
Answer:
180 points.
Step-by-step explanation:
Given:
A class will have 1 test and 5 homework assignments to complete.
The test is worth 80 points.
Each homework assignment is work 25% of the test.
Question asked:
How many points may be earned during this unit ?
Solution:
By unitary method:
Points may be earned from 1 assignments =
(given)
= ![\frac{25}{100} \times 80 = \frac{2000}{100} = 20](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B100%7D%20%5Ctimes%2080%20%3D%20%5Cfrac%7B2000%7D%7B100%7D%20%20%3D%2020)
Points may be earned from 5 assignments = ![5\times 20 = 100](https://tex.z-dn.net/?f=5%5Ctimes%2020%20%3D%20100)
Points may be earned from 1 test = ![80](https://tex.z-dn.net/?f=80)
Total points may be earned = 100 + 80 = 180
Therefore, 180 points may be earned during this unit.
Answer:
E
Step-by-step explanation:
When you perform an experiment on a population, the majority of the time, you cannot use the entire population, so instead you use a sample of that population.
In this case, you mark 130 MendAliens out of an unknown population. After that you capture 90, and see that 20 are marked. You can use this to assume that for every 90 MendAliens, you marked 20, so if you calculate that as a percentage, you would get 22.22%.
This means that you marked approximately 22% of the population, when you marked those 130 MendAliens. Using basic math, we can work backwards to calculate the total population.
Percentage (%) = Sample / Total
Inserting the values we know...
22.22% = 130 / Total
Rearranging the formula, we get...
Total = 130 / 22.22%
Since we know 22.22% is actually equal to (22.22 / 100)= 0.2222
Total = 130 / 0.2222
Total = 585
Answer:
Step-by-step explanation:
X=5/4z - 7/4