The number of watermelons in a truck are all weighed on a scale. The scale rounds the weight of every watermelon to the nearest pound. The number of pounds read off the scale for each watermelon is called its measured weight. The domain for each of the following relations below is the set of watermelons on the truck. For each relation, indicate whether the relation is: \ item Reflexive, anti-reflexive, or neither \ item Symmetric, anti-symmetric, or neither \item Transitive or not transitive Justify your answer.\\ \begin{enumerate}[label=(\alph*)] \item Watermelon alis related to watermelon y if the measured weight of watermelon alis at least the measured weight of watermelon y No two watermelons have the same measured weight.\||| %Enter your answer below this comment line. \item Watermelon æl is related to watermelon y if the measured weight of watermelon ælis at least the measured weight of watermelon y All watermelons have exactly the same measured weight.\ ||| %Enter your answer below this comment line. \end{enumerate} \newpage
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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