To find if something is a parallelogram, they 1 set of line segments need to have the the slope. In this equation, Slope equals x1 + x2 divided by y1 + y2 (Or the other way around, x2 + x1 divided by y2 + y1)
For your other point, it could be (-4,5)
If this is confusing, please tell me! I'll try to better explain. It also helps to draw out a graph so you can plot the points.
Answer:
1008
Step-by-step explanation:
10!•4!
---------
6!•5!
Rewriting as
10 * 9*8*7*6! * 4!
---------
6!•5*4!
Canceling like terms
10 * 9*8*7
---------
5
1008
Answer:
The correct opion is;
7 ≤ p
Step-by-step explanation:
The number of signatures Devin needs to collect = 1,000 signatures
The numer of signatures Devin has already = 380 signatures
The number ofsignatures each petition page can hold = 80 signatures
Therefore;
The number of extra signatures required = 1,000 - 380 = 680 signatures
The number of petition pages required = 1,000 petitions /(80 signatures/page) = 12.5 pages
The number of pages already filled = 380 petitions /(80 signatures/page) = 4.75 pages
The number of pages remaining, p = 12.5 - 4.75 = 7.75 pages
Therefore, 7 ≤ p.
It is C because a straight line is 180 degrees, eliminating A. That being said, the “bigger angle” is 12x-30 because it is obtuse. B and D are both acute, while C is obtuse. You can also find the answer by finding x as in the equation 3x+(12x-30)=180. By simplification, x=14. So, plugging it in, 12(14)-30=138.
Since 
and 
, we can rewrite the right side of the equation as
Using the identity 
, we can subtract 
from either side to obtain the identity 
substituting that into our previous expression, the right side of our equation simply becomes
We can now write our whole equation as
Adding 2 to both sides:
dividing both sides by 3:
When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4
