Final answer:
To find the ratio ED:DF, we need to determine the lengths of ED and DF in terms of the line segment EF. Given that point D lies on the segment 5/7 of EF from point E, we can determine the lengths as follows: The ratio of ED:DF is 5:2.
Step-by-step explanation:
A ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the total amount of fruit is 8:14.
Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.
To find the ratio ED:DF, we need to determine the lengths of ED and DF in terms of the line segment EF. Given that point D lies on the segment 5/7 of EF from point E, we can determine the lengths as follows:
First, let's assume that EF has a length of x units.
Therefore, the length of ED is (5/7) * x units, and the length of DF is (2/7) * x units.
So, the ratio of ED:DF is (5/7) * x : (2/7) * x, which simplifies to 5:2.