Answer the questions below. (a) A pizza parlor has a choice of 11 toppings for its pizzas. From these 11 toppings, how many
different 8-topping pizzas are possible?

(b) 50 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
given to the second-place finisher, and a bronze medal is to be given to the third-place finisher.
Assume that there are no ties. In how many possible ways can the 3 medals be distributed?

✺◟(∗❛ัᴗ❛ั∗)◞✺ ( T_T)＼(^-^ ) ( T_T)＼(^-^ ) ᕙ( • ‿ • )ᕗ (┛◉Д◉)┛彡┻━┻ ᕙ( • ‿ • )ᕗ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (┛◉Д◉)┛彡┻━┻ (ノT＿T)ノ ＾┻━┻ (ノT＿T)ノ ＾┻━┻ (┛◉Д◉)┛彡┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻

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°

need more detail

step-by-step explanation:

lele