A) The complement of an angle is the other angle that can be added to the original to add up to 90 degrees. The complement of <ABD would be 90-36
=54
b) The supplement of an angle is whatever number can be added to the original to add up to 180 degrees. The supplement of <ABD would be 180-36
=144
Remember PEMDAS is the order of operations. parenthesis,exponents,multiply,divide,add,subtract. so -8x-4x is -12x. now simplified the problem is 3(9-12x) + 8(3x+4)=11 . now I would distribute the numbers before the parentheses and it becomes 27-36x + 24x+32 =11 . now combine like terms. 59-12x =11 . subtract 59 on both sides. -12x=-48. divide -12 on both sides. x=4. :-)
26 cartons.
355 books / 14 books per carton = 25.36
Because you cannot ship a half carton, you would need a total of 26.
Asking the Math Gods...
x=2
<u>Answer</u>
x ≥ -2
<u>Explanation</u>
The inequalities are solve the same way as algebra. This would be solve as follows.
-2x-1≤5
-2x≤5+1
-2x≤4
Divide both sides of the inequality by -2. This will change the sign from ≤ to ≥.
(-2x)/(-2) ≤ 4/(-2)
x ≥ -2
