Answer:
If angles XYZ and RST are not vertical angles, then they are not congruent.
Step-by-step explanation:
It is given that:
p: Angles XYZ and RST are vertical angles.
q: Angles XYZ and RST are congruent.
From the given four statement in four options we have to select one which is logically equivalent to p - q.
" If angles XYZ and RST are not vertical angles, then they are not congruent."
This is the statement which is logically equivalent to p - q. (Answer)
Answer:
x = 1
y = -4
Step-by-step explanation:
You can use 2 methods to solve this, substitution or elimination.
Elimination:
You want to try and get rid of one variable in the pair of equations.
We add them together since y and -y cancel each other out when added.
Now, we have a much simpler equation.
4x - y = 8
+ 6x + y = 2
------------------
10x = 10
x = 1
Now, you can just plug it back in to one of the equations to get y.
(4 x 1) - y = 8
4 - y = 8
y = -4
Substitution:
You can also try and change the equation so that there is only one variable by setting the other equation equal to a variable.
This one is easier to do:
6x + y = 2
y = -6x + 2
Now, plug it into the first equation replacing y, since they are equal, and solve:
4x - y = 8
4x - (-6x + 2) = 8
4x + 6x - 2 = 8
10x = 10
x = 1
Now, you can just plug it back in to one of the equations to get y.
6x + y = 2
(6 x 1) + y = 2
6 + y = 2
y = -4
:)
Answer:
options are provided below...i hope this helps! :)
Step-by-step explanation:
well if the angles are vertical then ADC would be the same as ABC with 40 degrees
if the angles are corresponding, then they both are 40 degrees
if they are complementary angles, then they add up to 90 degrees
so the angle ADC would be 50 degrees
if they are supplementary angles, then they add up to 180 degrees. so ADC would be 140 degrees
