Step-by-step explanation:
m∠abc = m∠ebf = 58°
reason: vertical angles
m∠cbf = 180-m∠ebf = 180-58 = 122°
reason: Supplementary angles
m∠dbe = 90-m∠ebf = 90-58 = 32°
reason: complementary angles
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:

Step-by-step explanation:
- -1/9 × -5/4: 9 × 4 = 36, -1 × -5 = 5
- Put them together: 5/36
Pq
because they constant is the multiple of the last digit of each factor