The distance between the two cities is 500 miles. Since each inch represents 125 miles, you multiply 4*125 to get 500 miles.
Using the pythagoras theorem for a right-angled triangle:-
x^2 = 13*2 - 9^2 = 88
x = sqrt 88 = 2 sqrt 22
Answer:
8
Step-by-step explanation:
when you divide any number into 5 parts, multiples of 8 will always be equal to 4/5
Let x be the length of one side of the smaller square
Let y be the length of one side of the larger square
4x would be the perimeter of the smaller square, as it has 4 sides
Therefore 4x = y + 10, as the perimeter of the smaller square is 10 inches bigger than one side of the larger square.
We're going to solve this question using simultaneous equations. This means we need another equation to compare the first one to.
Since we know that one side of the larger square is 2 inches bigger than the first one, we can make the equation
y = x + 2
Know that we know the value of y in terms of x, we can introduce this value to the original equation to find:
4x = (x + 2) + 10
Therefore:
4x = x + 12
3x = 12
x = 4
Now that we know the size of the sides on the smaller square, we can figure out the size of the larger square by using our second equation (y = x + 2)
y = 4 + 2
y = 6
Therefore, the length of each side of the larger square is<u> B.6</u>
