Carlos plays cards with his friends. He starts with 100$. After 2 games, Carlos wins half of his original amount. After 4 games, he lost three times the half that he won after 2 games. After 6 games, he won four times more than he had after the 4 games. How much money did Carlos have after the second, forth, and sixth games?

2nd game: $150 4th game: $0 6th game: $0 or 4

Step-by-step explanation:

I'm not sure... for the 2nd game is he earning the $50 back or is he getting $50 in addition to his $100.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°