Answer:
see explanation
Step-by-step explanation:
The diagonals of a rectangle are congruent, thus
MP = LN , substitute values
9x - 6 = 6x + 9 ( subtract 6x from both sides )
3x - 6 = 9 ( add 6 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Thus
MP = 9(5) - 6 = 45 - 6 = 39 and LN = 6(5) + 9 = 30 + 9 = 39
