Elena is correct
Step-by-step explanation:
This is because a straight angle is always equal to 180 therefore in order to find the value of *w* you would have to add up to angles that are given and subtract them from 180, or in this case add up all the angles including *w* to get 180.
Answer:
Parallel
Step-by-step explanation:
These 2 lines are parallel because they have the same slope (7).
Answer:
C. (2, 5)
Step-by-step explanation:
Looking at the answer choices, you can see that solving for y will tell you which choice is correct. We can eliminate x from the equations by adding 4 times the second equation to the first:
(8x -3y) +4(-2x +3y) = (1) +4(11) . . . . . adding the equations to eliminate x
9y = 45 . . . simplified; next we divide by 9
y = 5 . . . . . matches choice C
_____
Check
8(2) -3(5) = 16 -15 = 1
-2(2) +3(5) = -4 +15 = 11 . . . . the answer checks OK in both equations
Answer:
Step-by-step explanation:
Slope/Gradient = 
P = (-8 , 3) (x1, y1)
Q = (-6 , 2) (x2, y2)
Slope = 
=
= 
=
Mulitply second equation by 2 and add to first
3y+2z=12
<u>2y-2z=18 +</u>
5y+0z=30
5y=30
divide 5
y=6
sub back
y-z=9
6-z=9
minus 6
-z=3
times -1
z=--3
x=-3
y=6
