1) Vertical angles-the angles will equal each other.
8+7x=9x-4
12+7x=9x
12=2x
x=6
2) Supplementary-Angles will add up to 180
6+13x+7x+14=180
20+20x=180
20x=160
x=8
14x-(6+7x)
=14x-6-7x
=14x-7x-6
=(14x-7x)-6
=7x-6x
This is question of probability finding using bayes theorem
It is used to calculate probability of two competing statements
now p(m) = .55
p(~m)= .45
now for basketball for male
p(b|m)=.30
and for female
p(b|~m)=.20
so by bayes theorem
p(m|b)=p(b|m)*p(m)/(p(b|m)*p(m)+p(b|~m)*p(~m))
so answer is E
(.55)(.30) / (.55)(.30) + (.45)(.20)
I’m tired I’ve so much homework to complete and a long day of school :(