Two equally skilled people play a game in which the first to carn 10 points wins $100 and each player has an equal chance of winning a point. At some point in the game, however, one of the players has to leave and the game must be stopped. If the game score is 9 points to 7 how should the $100 be divided between the two players? This diagram shows the number of ways the game could have been completed.
Use this diagram to help calculate the probability that:
i player A wins the game
ii player B wins the game.
Based on your answers from part a, describe how the $100 should be divided between players A and B.
Investigate how the $100 should be divided between players A and B if the game is stopped with the following number of points. You will need to draw a new tree diagram cach time.
i player A: 8 points, player B: 7 points
ii player A: 7 points, player B: 7 points
iii player A: 8 points, player B: 6 points
IV player A: 6 points, player B: 7 points

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12

step-by-step explanation: the answer for wha if rt is 10 centimeters long, and wha is st? it’s 6

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752