Answer:
B (12)
Step-by-step explanation:
The expression can be written as the following:
(2n)(n-1)
Let n=3
(2*3)(3-1)=(6)(2)=12
So the answer is B (12).
Answer:
Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x
Thus, option A) is true.
The solution to the system of equations be:
Step-by-step explanation:
It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.
Given the system of equations
Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x
Add y to both sides
Thus, option A) is true.
<u>NOW LET US SOLVE THE REMAINING PORTION</u>
to solve for y
For x = -1 + y
substitute y = 5
Thus, the solution to the system of equations be:
This answer would be true. I believe. It would be that because they are completely separate.
Answer:
Yes triangle ABC and DEF are similar.
Step-by-step explanation:
One rule of triangles is that all the angles in a triangle will add up to 180 degrees.
Now, first, you will figure out the remaining angle in triangle ABC.
- Add up 35 and 20. (35 + 20 =55)
- Subtract 55 from 180 (180-55= 125)
- When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.
Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.
- 125 + 35 = 160
- 180-160= 20
The remaining angle is 20 degrees
As you can see, triangle ABC shares the same angles as triangle DEF.
This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.
You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity
I hope this explanation helped and have a good day!
9,000 or (9×1,000) either one can be the answer
