3-4: Definition of supplementary angles
5: Simplify
<h3>
Answer: 37</h3>
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Work Shown:
We have a triangle with sides a,b,c such that
The third side c can be represented by this inequality
b-a < c < b+a
which is a modified form of the triangle inequality theorem.
Plug in the given values to get
b-a < c < b+a
20-17 < c < 20+17
3 < c < 37
The third side length is between 3 and 37; it cannot equal 3, and it cannot equal 37. So we exclude both endpoints.
Of the answer choices, the values {7,20, 12} are in the range 3 < c < 37.
The value c = 37 is not in the range 3 < c < 37 because we can't have the third side equal to either endpoint. Otherwise, we get a straight line instead of a triangle forming.
So that's why 37 is the only possible answer here.
Yes 2/4 is half of 4 and 1/2 is half of 2
Simple,
either FOIL or use the box, making the equation look like this,
(4x-2)(12x+42)=
=48x^2+144x-84.
Then, factor out a 12.
Your answer factored out and simplified,
12(2x-1)(2x+7)
a=48,b=144,c=-84.