In the given rectangle
US = 4x - 16 and RO = x + 2, find RT.
Show all the work

RT = 24

Step-by-step explanation:

Diagonals of rectangles bisects each other and equal in length (congruent) to each other.

Thus

US = RT

US = 2(RO)

4x - 16 = 2(x + 2)

4x - 16 = 2x + 4

2x = 20

x = 10

RT = 2(RO)

= 2(x+2)

= 2(10 + 2)

= 2(12)

= 24

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18