Answer:
See below ~
Step-by-step explanation:
<u>A.</u>
- m∠5 = m∠10 (alternate angles)
- m∠10 = 69°
<u>B.</u>
- ∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)
- ∠14 = 180° - 114°
- ∠14 = 66°
<u>C.</u>
- ∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)
- ∠12 = 86°
15 - 4 1/3 = 10 2/3
10 2/3 * 3/5 = 6 4/10
10 2/3 - 6 4/10 = 4 4/15
Answer:
Case 1 - 50388 ways when the couple is there in the group of 8 people selected out of 20 employees.
Case 2 - 75582 ways when the couple is not there in the group of 8 people selected out of 20 employees.
Step-by-step explanation:
Given
The couple within the group can not be separated and hence instead of taking total 20 employees , it must be taken as 19 employees.
Now if the couple is there in the selected group of 8 people, then total 7 needs to be selected out of 19 and hence the total number of ways of selecting 7 people out of 19 is
= 50388
If the couple is not there in the selected group of 8 people, then the total number of ways of selecting 8 people out of 19 is
= 75582
(2x+1)(x-4)=0
x-4=0
2x+1=0
X= -1/2 , 4