answer:- The cevian is a line segment that connects a vertex of a triangle to a point on the opposite side. The coordinates of the points that define the line for the cevian are left(frac{21}{2}, 0right) and left(-frac{17}{24}, frac{sqrt{287}}{24}right). - The altitude is a line segment that is perpendicular to a side of a triangle and passes through the opposite vertex. The coordinates of the points that define the line for the altitude are left(frac{21}{2}, 0right) and left(frac{2023}{384}, -frac{119 sqrt{287}}{384}right). - The symmedian is a line segment that connects a vertex of a triangle to the midpoint of the opposite side. The coordinates of the points that define the line for the symmedian are left(frac{21}{2}, 0right) and left(-frac{833}{1356}, frac{49 sqrt{287}}{1356}right). - The median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side. The coordinates of the points that define the line for the median are left(frac{21}{2}, 0right) and left(frac{5}{12}, frac{sqrt{287}}{12}right). Cevian: left( begin{array}{cc} frac{21}{2} & 0 -frac{17}{24} & frac{sqrt{287}}{24} end{array} right) Altitude: left( begin{array}{cc} frac{21}{2} & 0 frac{2023}{384} & -frac{119 sqrt{287}}{384} end{array} right) Symmedian: left( begin{array}{cc} frac{21}{2} & 0 -frac{833}{1356} & frac{49 sqrt{287}}{1356} end{array} right) Median: left( begin{array}{cc} frac{21}{2} & 0 frac{5}{12} & frac{sqrt{287}}{12} end{array} right)

answer:A serving size refers to a standardized quantity of a food item, typically measured in cups, ounces, or other units, which is used for dietary guidelines and comparisons among similar foods, such as those found on food labels. On the other hand, a portion size is the actual amount of food an individual chooses to consume at a particular meal or snack. It is important to note that serving sizes and portion sizes may not always be identical. To promote healthier eating habits, it's crucial to be aware of and maintain appropriate portion sizes.

answer:The original question and answer are not very clear. The question is missing the word "who" and the answer is simply "A translator". This makes it difficult to understand what the question is asking and what the answer is providing. The modified question and answer are more clear and concise. The question now includes the word "who" and the answer now includes the definition of a translator. This makes it easier to understand what the question is asking and what the answer is providing. A translator is a person who translates from one language to another.

answer:An economic action is deemed efficient when the overall benefits it brings to individuals in an economy outweigh the costs associated with implementing it. This means that the positive outcomes of the action, such as increased welfare, improved living standards, or economic growth, should surpass the negative impacts, such as financial burdens, resource allocation, or potential trade-offs. When an economic action produces more benefits than costs, it signifies that resources are being allocated effectively, leading to a net gain for society. This efficiency promotes sustainable economic growth and enhances the well-being of individuals within the economy. Yes, it is true.