The image shows a right triangle in the coordinate plane. What is the measure of segment AC?
2 answers:
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Answer:
The given expression is a cubic polynomial with degree 3.
Step-by-step explanation:
We are given the following in the question:
Polynomial:
- A polynomial is an expression.
- It consisting of variables and coefficients.
- The variables and coefficients involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
Since, the given expression satisfies all the properties, it is a polynomial.
Degree of polynomial:
- It is the maximum degree of the polynomial.
The degree of given polynomial is 3.
Nature of polynomial:
It is a cubic polynomial.
Answer:
<ABC = 49°
Step-by-step explanation:
The sum of two supplementary angle is 180. From the diagram, the two angles are 3x+4 and 8x+11. IF this two angles are supplementary then;
3x+4+8x+11 = 180
11x+15= 180
11x = 180-15
11x = 165
x = 165/11
x = 15
From the attached diagram, <ABC = 3x+4
<ABC = 3(15)+4
<ABC = 45+4
<ABC = 49°
The Pythagorean theorem:
The theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
<h2>The Pythagorean Theorem</h2><h3>Discoverer: Pythagoras</h3>In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. These calculations were discovered just as a tool of the ancient civilization of Babylonians who used it to divide up farmland; this was roughly 1,000 years before the birth of the discoverer, Pythagoras, a Greek philosopher.
The formula comes like this: