P(s) = 45/125 = 0.360
P(A&C) = 38/125 = 0.304
Probability that one is not in Arts and Crafts = 1- P(A&C) = 1-0.304 = 0.696
Therefore,
Probability that the child selected is in swimming when its known they didn't sign for Arts and craft = Probability they signed for swimming * Probability that they didn't sign for Arts and Crafts = 0.360*0.696 = 0.25056
It looks like a reflection over the y-axis. There's a formula you can use when doing reflections over the y-axis, (x,y) is going to become (-x, y) thats also the coordinate rule I think.
If you apply that rule to each point you should get the reflected image.
G- (1, 3) then (-x,y) to get (-1,3)
E- (1, 2) then (-x,y) to get (-1, 2)
V- (5, 1) then (-x,y) to get (-5, 1)
X- (3, 3) then (-x,y) to get (-3, 3)
So basically, you want to show why the two lines (m and n ) are the "same". To show this you would say <4 &<5 are also supplementary because it is the same as <3 & <6. I think this is what the question is asking. To prove this you use the Converse Theorem. Which is what I just showed you with the angles.
