Answer:
x = 11
Step-by-step explanation:
Lines are parallel. 5x + 10 and 10x + 5 are supplements of each other.
Move 5x+ 10 to the corresponding position on the figure. It will be next to 10x + 5 and form a linear pair with 10x + 5. A linear pair form a straight angle or two supplementary angles. Supplementary angles = 180°
Therefore 5x +10 + 10x + 5 = 180°
15x + 15 = 180°
15x = 180 - 15
15x = 165
x = 11
$682.5 is your answer. Hope it helps
Step-by-step explanation:
3x-3y=4
3y= 3x -4
y= x-4/3
-3x+3y=3
3y= 3x+3
y= x +1
.....
Since they have the same slope and different y-intercepts , then there are no solutions for these equations because they're parallel.
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
Because any triangle has to have a measure of 180 degrees. No matter what kind of triangle.