Final answer:
To find the value of x and the length of the mid-segment, we need to solve the given ratios. The value of x is 0.2 miles in the first case and 0.02 miles in the second case. The length of the mid-segment cannot be determined from the given information alone.
Step-by-step explanation:
To find the value of x and the length of the mid-segment, we need to solve the given ratios. Let's look at each ratio:
Ratio 1: 0.5 inch/20 miles = 8 inches/x miles
Solve for x by cross-multiplying:
20x = 8 * 0.5
20x = 4
x = 4/20 = 0.2 miles
Ratio 2: 0.5 inches/75 miles = 3 inches/x miles
Solve for x in the same way:
75x = 3 * 0.5
75x = 1.5
x = 1.5/75 = 0.02 miles
Hence, the value of x is 0.2 miles in the first case and 0.02 miles in the second case. The length of the mid-segment is not given in the given information and cannot be determined from the given ratios alone.
The complete question is What is the value of x and the length of the mid-segment in the following scenario?is..../;