Answer:

Step-by-step explanation:
we know that
The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Applying the Triangle Inequality Theorem
1) 
solve for n

Rewrite

2) 

therefore

Answer:
4xy and 12x
Step-by-step explanation:
In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options
Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.
This makes 24 and 44y out of the way.
Now let’s look at 4xy and 12x. Let’s insert them into the blank space;
36x^3-22x^2 - 4xy which gives : 2x(18x^2-11x-2y)
and 36x^3-22x^2-12x = 2x(18x^2-11x-6)
The reason why we will not use 44y and 24 is because 2x is not a factor of either.
Answer: The boots were marked $86.
Step-by-step explanation: We know Mica's total was $100 for the bill. He got the only hat left marked $12, and a pair of boots. Before tax and after a 50% sale, her total is $100. Since she spent $12 for the hat, we know the rest of the money is going towards the boots. The boots will cost $86.
Hat($12) + Boots($86) = 100
Answer:
65%
Step-by-step explanation:
26/40 = 0.65
0.65 X 100 =65
Answer:
803.78
Step-by-step explanation:
983.45-214.67=768.78
768.78-15=753.78
753.78+50=803.78
answer is 803.78