Harry is 45 years old is 60% as old as Patrick .How old is Patrick
1 answer:
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Point.
<h3>Further explanation</h3>- This is one of the classic problems of Euclidean geometry.
- The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.
- We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.
Types of Angles
- The acute angle represents an angle whose measure is greater than 0° and less than 90°.
- The right angle is an angle that measures 90° precisely.
- The obtuse angle represents an angle whose measures greater than 90° and less than 180°.
- The straight angle is a line that goes infinitely in both directions and measures 180°. Carefully differentiate from rays that only runs in one direction.
<u>Note:</u>
Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.
These key terms cannot be mathematically defined using other known words.
- A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
- A line represent an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
- A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.
- Undefined terms are implemented to define a ray brainly.com/question/1087090
- Definition of the line segment brainly.com/question/909890
- What are three collinear points on a line? brainly.com/question/5795008
Keywords: the definition of an angle, the undefined term, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry
Answer:
(6, 9 ) and r = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 18y + 108 = 0
Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is
x² - 12x + y² - 18y = - 108
To obtain standard form use the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81
(x - 6)² + (y - 9)² = 9 ← in standard form
with centre = (6, 9 ) and r = = 3