Which pairs of the angels in the figure below are vertical angles ?

A. Angle SYL and angle EYA

B. Angle AYS and angle EYL

Step-by-step explanation:

We have been a diagram. We are asked to find pairs of vertical angles for our given diagram.  

We know that vertical angles formed when two lines intersect each other.

We can see from our given diagram that line AL intersects line SE at point Y, and forms two pairs of vertical angles that are:

1. Angle AYS and angle EYL

2. Angle SYL and angle EYA

Therefore, options A and B are correct choices.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

step-by-step explanation: