Answer:
2
Explanation:
Determine an Equation
For RSTU to be a rhombus, all 4 sides have to be equivalent. This means that...
UR = RS = TS = TU.
We are given that UR = 8x and RS = 9x - 2.
In order to find "x", we must set these two values equal to each other.
8x = 9x - 2.
Solve the Equation
Now we have to isolate the variable.
Start by subtracting 8x from both sides.
8x - 8x = 9x - 8x - 2
0 = x - 2
Now add 2 to both sides
0 + 2 = x - 2 + 2
x = 2
x = 2 makes RSTU a rhombus.