Answer:


Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees.




Use the exterior angles theorem to find y.
The exterior angle y is the sum of the two remote interior angles:
The sum of angles on a straight line is 180 degrees.



Answer:
Step-by-step explanation:
Give the rate of change of sales revenue of a store modeled by the equation
. The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;


Total sales = S(7) - S(0)
= 6,860 - 0
Total sales for the first week = $6,860
b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;
Total sales for the second week = S(14)-S(7)
Given S(7) = 6,860
To get S(14);

The total sales for the second week after campaign ends = 13,720 - 6,860
= $6,860
Answer:
23) x= 3, y = 4
24) Any (x,y) values where x = 1.5 - 2y
Step-by-step explanation:
For the first system(23), it goes like this
[1 2 | 7]
[2 1 | 8]
We need to do L2 = L2 - 2L1, so now it is
[1 2 | 7]
[0 -3 |-6]
So, now we have:
-3y = -6 *(-1)
3y = 6
y = 2
x + 2y = 7
x + 4 = 7
x = 3
Now for system 24, we have:
[-1 2 | 1.5]
[2 -4| 3]
We do L2 = L2 + 2L1, so we have:
[-1 2 | 1.5]
[0 0| 0]
So there are infinite solutions for this system. The solution for this system will be each (x,y) pair where x = 1.5 - 2y.
Jupiter has a diameter of about 88,695 miles (142,800 kilometers) which is more than 11 times the diameter of Earth. It’s volume is over 1,300 times the volume of Earth. This mean that Jupiter is so big that over 1,300 Earth could fit inside of it.