A parliament consists of 20 members; 8 are consecutives, 12 are liberal. a committee of 3 members are to be selected. Assume that the order in which the members are selected for the commitee is of no importance a whats the probability that a randomly selected 3 member committee has exactly one consecutitive

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

12 dolars one is cheaper becasue 3 pairs is 6 means is sock is 2 while the 12 is cheaper