Answer:
1. X/2 = 4
2. 3x - 2 = 11
3. 2x - 5 = 15
4. 2x-1=12
5. 9x = 2(x+5)
Step-by-step explanation:
Since they're vertical angles, they're equal in degree measure
since they're equal, we can make the two expressions equal to each other
5a - 1 = 2a + 20
add 1 to both sides
5a = 2a + 21
subtract 2a from both sides
3a = 21
divide both sides by 3a
a = 7
now, plug the answer you found for a into one of the two expressions
5a - 1 becomes (5*7) - 1, which equals 34
to double check that they're equivalent (since they're vertical angles)
2a + 20 becomes (2*7) + 20, which equals 34
both angles are 34 degrees!
The number of words james can type in 6 minutes at the same rate is 360 words
Given:
Number of minutes to type 150 words = 2.5 minutes
let
number of words James can type in 6 minutes = x
Equate the ratio of the number of words to number of minutes
150 : 2.5 = x : 6
150/2.5 = x/6
cross product
150 × 6 = 2.5 × x
900 = 2.5x
x = 900/2.5
x = 360 words
Therefore, the number of words james can type in 6 minutes is 360 words
Learn more about ratio:
brainly.com/question/16981404
For this case we have the following system of equations:
-4x + 5y = 8
6x - y = 11
The solution is the ordered pair where both functions intersect.
In this case, the point of intersection is:
(x, y) = (5/2, 7/2)
Answer: (x, y) = (5/2, 7/2) option 1See attached image
17 bc I did it trust me pls
