The probability of choosing the letter G and flipping tails is...

1/7

Step-by-step explanation:

that is the

answer

1/14

Step-by-step explanation:

there are 7 tiles making it 1/7 that youll chose the "G" tile and a 1/2 percent chancer of flippig tails therefore 1/7 x 1/2 = 1/14.

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