Item 7 find the lengths of the diagonals of rectangle wxyz . wy=16x+2 xz=36x−6 the length of each diagonal is units.

Because the diagonals of a rectangle are congruent, you would set the two equations equal to each other and solve for x. 

16x + 2 = 36x - 6
8 = 20x
x = 8/20, which would simplify into 2/5, or 0.4

Plug the value of x back into one of the equations.

16(0.4) + 2
6.4 + 2
8.4

Check with the other diagonal to confirm.

36(0.4) - 6
14.4 - 6
8.4 

The length of each diagonal is 8.4 units.