Two polygons are said to be similar if their corresponding angles are the same or if each pair of corresponding sides has the same ratio. write the code to test if two rectangles are similar when the length and width of each are provided as integer values. for example: if the rectangles have lengths of 10 and 8, the ratio would be 1.25.

)a grad student comes up with the following algorithm to sort an array a[1..n] that works by first sorting the first 2/3rds of the array, then sorting the last 2/3rds of the (resulting) array, and finally sorting the first 2/3rds of the new array. 1: function g-sort(a, n) . takes as input an array of n numbers, a[1..n] 2: g-sort-recurse(a, 1, n) 3: end function 4: function g-sort-recurse(a, `, u) 5: if u ⒠` ≤ 0 then 6: return . 1 or fewer elements already sorted 7: else if u ⒠` = 1 then . 2 elements 8: if a[u] < a[`] then . swap values 9: temp ↠a[u] 10: a[u] ↠a[`] 11: a[`] ↠temp 12: end if 13: else . 3 or more elements 14: size ↠u ⒠` + 1 15: twothirds ↠d(2 ◠size)/3e 16: g-sort-recurse(a, `, ` + twothirds ⒠1) 17: g-sort-recurse(a, u ⒠twothirds + 1, u) 18: g-sort-recurse(a, `, ` + twothirds ⒠1) 19: end if 20: end function first (5 pts), prove that the algorithm correctly sorts the numbers in the array (in increasing order). after showing that it correctly sorts 1 and 2 element intervals, you may make the (incorrect) assumption that the number of elements being passed to g-sort-recurse is always a multiple of 3 to simplify the notation (and drop the floors/ceilings).

You have a small company and want to keep your costs low, but it is important your employees share data. which network would provide you with the most economical solution?

Barbara is interested in pursuing a career in the science and math pathway. which qualifications will her reach that goal? a.an advanced knowledge of physics and math b.an advanced knowledge of engineering and math c. an advanced knowledge of physics and robotics an d. advanced knowledge of machinery and math