Answer:
Step-by-step explanation:
You want the values of x and y in the parallelogram with half-diagonals marked as (x and 2y) and (2x+14 and 5x -4).
Diagonals
The diagonals of a parallelogram cross each other at their midpoints. This means the equation for the longer diagonal is ...
2x +14 = 5x -4 . . . . . half-diagonals are the same length
18 = 3x . . . . . . . add 4-2x
6 = x . . . . . .divide by 3
The equation for the short diagonal is ...
x = 2y
6 = 2y . . . . . . use the value of x
3 = y . . . . . divide by 2
The values of x and y are 6 and 3, respectively.
