An individual uses the following gambling system at las vegas. he bets $1 that the roulette wheel will come up red. if he wins, he quits. if he loses then he makes the same bet a second time only this time he bets $2; and then regardless of the outcome, quits. assuming that he has a probability of 1 2 of winning each bet, what is the probability that he goes home a winner?

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of x?

With these 5 geometry questions! pls 1.)quadrilateral abcd is inscribed in this circle. what is the measure of ∠a ? enter your answer in the box.°2.)quadrilateral abcd is inscribed in a circle. what is the measure of angle a? enter your answer in the box. m∠a= 3.)quadrilateral abcd is inscribed in this circle. what is the measure of angle b? enter your answer in the box. m∠b= °4.)quadrilateral abcd is inscribed in this circle. what is the measure of angle a? enter your answer in the box.°5.) quadrilateral abcd is inscribed in this circle. what is the measure of angle c? enter your answer in the box.°

I'm at a bookstore with $\$35$ in my pocket and a $20\%$-off coupon. what is the cost of the most expensive book i can buy with my money and the coupon? (assume that there are books of every possible price in the bookstore. it's a large bookstore! )