In a 45-45-90 triangle, the hypotenuse = sqrt of 2 times a leg.
Therefore the legs of the 45-45-90 triangle are 6.
That is also the hypotenuse of the 30-60-90 triangle.
In a 30-60-90 triangle, the short leg is one half of the hypotenuse.
Therefore x = 3
8y+7= y+21
Subtract y from both side
7y+7=21
Subtract 7 from both sides
7y = 14
Divide both sides by 7
Y=2 or A
X-(4.5+1.5+1+3)= 8
x-10=8
+10. +10
x= 18
He took $18 to the fair. You take his original amount and subtract the things he paid for/bought to get what he came home with. I hope it helps!