Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Required
Determine the value of x
The diagonals of a rectangle are equal.
So:
[tex]x + 5 + 2x -2 = 3x -9+4x - 16[/tex]
[tex]x + 2x + 5 - 2 = 3x +4x - 9 - 16[/tex]
[tex]3x + 3 = 7x -25[/tex]
Collect Like terms
[tex]3x-7x=-25-3[/tex]
[tex]-4x=-28[/tex]
[tex]x = \frac{-28}{-4}[/tex]
[tex]x = 7[/tex]
