Answer:
Never
Step-by-step explanation:
Adding together an obtuse angle (greater than 90°) and acute angle (less than 90°) should result in an obtuse angle every time
Yes
The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.
This happens for all possible couples in your case:



Bearing in mind that an absolute value expression is in effect a
piece-wise function with two cases, thus
Answer:
30 units
Step-by-step explanation:
If the w=5 and we know that the length is 2(5)=10
For perimeter, there are two sides.
2(10)+2(5)=30 units
Answer:
4 months.
Step-by-step explanation:
We can write formulas for the amount each person paid after x months. These will be
Brian = 60 + 42.95x
Michael = 0 + 57.95x
So for example, after 1 month Brian will have paid 102.95 for the installation and first month, while Michael will have paid only 57.95 (I put the zero in the equation to make it look like the familiar y-intercept form). We are trying the find the month at which they have paid equal amounts. Solve for x in the equation
60 + 42.95x = 57.95x
60 = (57.95 - 42.95)x
60 = 15x
x = 4
After four months.