Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
...........(1)

............(2)
...........(3)

...........(4)
Now we adding equation 2 and 4, we get the value of x.



Now we are putting the value of x in 4, we get the value of y.




Therefore, the value of x and y is 8 and 10 respectively.
Answer:
<em>A compound proposition that is always false is called a contradiction</em>
Step-by-step explanation:
Answer:
The factors of 26 are 1,2,13,26 The prime factors of 26 are 2 and 13.
Step-by-step explanation:
Correct answer: y =
x + 2
To find out the slope, you would need to remember this slope formula:
. We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as
and
, and (0, 2) as
and
. Now we can plug these numbers into the slope formula to find out the slope:
m =
→
→
→ 
To find out the y-intercept, just substitute (3, 3) into the slope-intercept<em> </em>formula ( <em>y = mx + b</em> ) with the slope that is substituted for '<em>m</em>' that we already solved earlier.
y = mx + b
(3) =
(3) + b
3 = 1 + b
2 = b
You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.
Now we know that m =
and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y =
x + 2.
Hope this helps you! Let me know if you have any more questions related to this problem.