Answer:
he will be payed 420 dollars at the end of the week
1.1x+1.2x-5.4=-10x
Move all terms to the left:
1.1x+1.2x-5.4-(-10x)=0
Add all the numbers together, and all the variables
2.3x-(-10x)-5.4=0
Get rid of parentheses
2.3x+10x-5.4=0
Add all the numbers together, and all the variables
12.3x-5.4=0
Move all terms containing x to the left, all other terms to the right
12.3x=5.4
x=5.4/12.3
x=3.8571428571429/8.7857142857143
Hope it helps!
Not quite sure about #1 but x=58°
The triangle inequality applies.
In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.
In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.
The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
The prime numbers between 40 and 50 are:
41
43
47