Answer:
![-12y+20](https://tex.z-dn.net/?f=-12y%2B20)
Step-by-step explanation:
![\left(4-5y\right)-2\left(3.5y-8\right)](https://tex.z-dn.net/?f=%5Cleft%284-5y%5Cright%29-2%5Cleft%283.5y-8%5Cright%29)
Use distributive property.
![-2\left(3.5y-8\right)](https://tex.z-dn.net/?f=-2%5Cleft%283.5y-8%5Cright%29)
![-2\cdot \:3.5y-\left(-2\right)\cdot \:8](https://tex.z-dn.net/?f=-2%5Ccdot%20%5C%3A3.5y-%5Cleft%28-2%5Cright%29%5Ccdot%20%5C%3A8)
![-7y+16](https://tex.z-dn.net/?f=-7y%2B16)
![4-5y-7y+16](https://tex.z-dn.net/?f=4-5y-7y%2B16)
Now, add like terms.
![-5y-7y=-12y](https://tex.z-dn.net/?f=-5y-7y%3D-12y)
![\:4+16=20](https://tex.z-dn.net/?f=%5C%3A4%2B16%3D20)
![-12y+20](https://tex.z-dn.net/?f=-12y%2B20)
Angle f is 146 degrees
<h2>
Explanation:</h2>
Hello! Recall that you have to post complete questions in order to get good and correct answer. However, I have attached a figure below that I think represents the statement of your problem.
In this case, we can set the following equations:
(1) ∠d = (3x + 7)°
(2) ∠e = (4x - 2)°
These two angles are Alternate interior angles. They are interior angles because they're between the parallel lines (
and
) and they are alternate angles because they're on different sides of the transversal line (The third one that passes through the parallel lines)
Alternate interior angles are always congruent to each other, so this means they have the same measure. In other words:
∠d = ∠e
(3x + 7)° = (4x - 2)°
Isolating x:
3x + 7 = 4x - 2
Combine like terms:
7 + 2 = 4x - 3x
9 = x
x = 9
So:
∠e = (4x - 2)°
∠e = [4(9) - 2]°
∠e = [36 - 2]°
∠e = 34°
∠e and ∠f are supplementary angles meaning they add up to 180 degrees, so:
∠e + ∠f = 180°
Isolating ∠f:
34°+ ∠f = 180°
∠f = 180° - 34°
∠f = 146°
<h2>Learn more:</h2>
Complementary angles: brainly.com/question/12254549
#LearnWithBrainly
All numbers less than 20 with 3 factor pairs are:
Answer:
There are 20 European Butterflies.
Step-by-step explanation:
To determine the number of European Butterflies in the park, knowing that there are 80 North American Butterflies there, and that the ratio of each species is 8: 5 for North American and South American butterflies, and 5: 2 for South American and European butterflies, it must be done the following logical reasoning:
Given that there are 8 North American butterflies for every 5 South American, and 5 South American for every 2 European, it could be said that there are 8 North American butterflies for every 2 European (8: 2).
Thus, if there were 80 North American butterflies, the number of European butterflies in the park would be 20.
Answer:
A
Step-by-step explanation:
When you read the question it says that her average speed from the library to the gym is 15 mph less than her speed from her home to the library. So x - 15 is what describes that situation.
If it is A it cannot be anything else.
B is incorrect. x - 15 is not a time. It is a rate. It can be used to develop the amount of time, but by itself it is still A.
C is incorrect. Her average speed from her house to the library is x
D is incorrect. The distance is given as the same as from her home to the library as from the library to the gym. Both are 4