Question

1. solve for x

ku = 3x + 3
um = 4x - 4

Explanation:

Step1: Assume the diagonals of the rectangle are bisected equally.

Set $KU = UM$. So, $3x + 3=4x - 4$.

Step2: Isolate the variable $x$.

Subtract $3x$ from both sides: $3x+3 - 3x=4x - 4-3x$, which simplifies to $3=x - 4$.

Step3: Solve for $x$.

Add 4 to both sides: $3 + 4=x-4 + 4$, so $x = 7$.

Answer:

$x = 7$