Answer:
6,840 casts
Step-by-step explanation:
Assuming that every actor can play each of the 4 roles and that each role is different, the number of possible casts including at least one of sir Ian and Patrick is given by the total number of possible casts (permutation of 4 out of 12 actors), minus the number of casts without sir Ian and Patrick (permutation of 4 out of 10 actors):

There are 6,840 possible casts.
Answer:
<h3> The true statement is the first:</h3><h2>
Measure of angle A = 20 degrees</h2>
Step-by-step explanation:
The sum of the measure of the interior angles in a triangle is 180°
m∠A + m∠B + m∠C = 180°
(2x)° + (5x)° + (11x)° = 180°
(18x)° = 180°
x = 10
A = (2×10)° = 20° {<u>the first statement is true}</u>
B = (5×10)° = 50° {the second statement is false}
C = (11×10)° = 110°
m∠A + m∠B = 20° + 50° = 70° ≠ 90° {the third statement is false}
m∠A + m∠C = 20° + 110° = 130° ≠ 120° {the fourth statement is false}
Answer:
3+g=- 134
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If it equals the double of one angle that means it is bisected in to 2 equal parts
So,
Our total will be equal to 20. If we want 1 additional topping, we will have an additional $1.25. <span>If we want 2 additional toppings, we will have an additional $2.50. So we can just multiply the number of additional toppings by 1.25 to get the additional amount.
1.25x
However, you will have already spent $15.
1.25x + 15 = 20
This is option B.
P.S. You will be able to put exactly 4 additional toppings.</span>