A. 36 is the correct answer
To solve the two sets of equations simultaneously, subtract one equation from the other to obtain
3x^5 + 2x^2 - 10x + 4 - (4x^4 + 6x^3 - 11) = 0
3x^5 - 4x^4 - 6x^3 + 2x^2 - 10x - 7 = 0
This is a polynomial of degree 5 to be solved for zeros.
A graphing calculator will yield 3 real zeros (verifiable by Descartes Rule of Signs).
A: Yes, the sum of two sides are greater than the third side.
B: Yes, the sum of two sides are greater than the third side. (Would be an equiilateral triangl.)
C: No, the sum of two sides are less than the third side.
In general, To determine if 3 side lengths are a triangle, use the triangle inequality theorem, which states that the sum of 2 sides of a triangle must be greater than the third side. Therefore, all you have to do is add together each combination of 2 sides to see if it's greater than the third side.
Answer:
x = 21 degrees
Step-by-step explanation:
Vertical angles are always congruent.
3x + 67 = 130
3x = 130 - 67
3x = 63
<u>x = 21</u>