The point halfway between the two cities would be the midpoint, which is found by averaging the x and y coordinates. In this case the point would be ((3+7)/2, (4+1)/2) = (5, 2.5). The distance between the stadium and the high school can be found using the distance formula and then multiplying by 10.9 miles. That would get us 10.9sqrt((7-3)^2+(4-1)^2) = 54.5 miles if I did that mental math right.
Using symmetry concepts, it is found that there is a line of symmetry at x = 50, option D.
- A line symmetry is an imaginary line that runs through a graph, dividing it into two equal parts.
- A point symmetry is when every point is equidistant to the line of symmetry, but in opposite directions.
- In this problem, the values of x range from 0 to 100, being divided(definition changed) at 50, thus, there is a line of symmetry at x = 50, and option D is the correct one.
A similar problem is given at brainly.com/question/16679081
1. cos (angle) = adjacent leg / hypotenuse
cos(50) = 10/X
x = 10/cos(50)
x = 15.6 feet
2.
tan(angle) = Opposite leg / adjacent leg
tan(5.5) = 600/x
x = 600/tan(5.5)
x = 6,231.2 feet.