Answer:
(a) Theorem 9
Step-by-step explanation:
Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.
<h3>Analysis</h3>
The marked angles are between the parallel lines (interior) and on opposite sides of the transversal (alternate).
Theorem 9 applies to congruent alternate interior angles.
So elimination method is basically adding the equations and canceling out variables.
-6x + 6y = 6
-6x + 3y = -12
The eaiest way to solve is by multiplying the bottom equation by -1.
-6x + 6y = 6
6x - 3y = 12
Now you add the eqautions.
3y = 18
Divde 3 from both sides.
y = 6
Now plug in 6 into any of the original two equations. Lets use the first one.
-6x + 6(6) = 6
-6x + 36 = 6
Subtract 36 from both sides.
-6x = -30
Divide -6 from both sides.
x = 5
So your solution is (5, 6).
I hope this helps love! :)
Answer:
I am pretty sure that it's C
Step-by-step explanation:
you need to do a^2+b^2=c^2
Answer:
8 units
Step-by-step explanation:
We can use the distance formula. Recall the distance formula:
Let (-11,7) be 
and 
, and (-5,1) be 
and 
Plug in the numbers:
Answer:
substitute 3 as in x:
4(3)-9
= 12-9
= 3
Hope this helped - have a nice day & be safe
