Answer:
vertical angles
Step-by-step explanation:
they are vertical angles because they are vertically opposite each other and they are equal
I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).
Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system
- y + 3z = -2
y + z = -2
-----------------
4z = -4, so z = -1.
Next, multiply the 3rd equation by 2: You'll get -2x + 2y + 2z = -2.
Add this result to the first equation. The 2x terms will cancel, leaving you with the system
2y + 2z = -2
y + z = 4
This would be a good time to subst. -1 for z. We then get:
-2y - 2 = -2. Then y must be 0. y = 0.
Now subst. -1 for z and 0 for y in any of the original equations.
For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.
Then a tentative solution is (-3, -1, 0).
It's very important that you ensure that this satisfies all 3 of the originale quations.
Here are a few reasons:
The triangles have the same three sides
The triangles have the same three angles
The triangles could perfect overlap one another
They have corresponding angles.
Not sure if this helped but I hope so!
Answer: (x+1)^2=12(y-2)
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
16/20 reduces down to 2/5
set 2/5=x/80
cross multiply 160=5x
divide 32=x
check 2/5=32/80
32/80; 16/40; 8/20; 4/10; 2/5
yay 32 is the answer good luck :)
