Answer:

Step-by-step explanation:
Let the smaller number be
. Since they are consecutive even numbers, the larger number can be represented by
.
Therefore, we have the following equation:

Thus, the larger number is 
The answer is either Sin 3 or sin 82
Let the third angle = x
It would be: 35 + 45 + x = 180
80 + x = 180
x = 180 - 80
x = 100
So, your final answer is 100
Hope this helps!
Answer:
D) 4x + 2y ≤ 25 , x + y ≥ 8 is the required system of inequalities
to represent the given situation.
Step-by-step explanation:
Here, let the number of color copies = x
Now, the time taken to print each color copy = 4 minutes
⇒Time taken to print x color copies = x times ( Time taken by each copy)
= 4 (x) = 4x
and let the number gray scale copies = y
The time taken to print each gray scale copy = 2 minutes
⇒Time taken to print y gray scale copy = y times (Time taken by each copy)
= 2 (y) = 2y
Total copies printed = x + y
Maximum time taken to print x color copies and y grayscale copies
= 4x + 2y
So, according to the question:
4x + 2y ≤ 25 ( as maximum allotted time is 25 minutes)
and x + y ≥ 8 (as minimum number of copies is 8)
hence, the above system is the required system of inequalities to represent the given situation.