Question

given the rectangle abcd as shown, find the value for x if do = 4x + 8 and co = 15x - 3 (1 point)

Explanation:

Step1: Recall rectangle property

In a rectangle, the diagonals are equal and bisect each other. So $DO = CO$.

Step2: Set up the equation

Set $4x + 8=15x - 3$.

Step3: Solve for $x$

First, move the $x$ - terms to one side: $8 + 3=15x-4x$.
Combining like - terms gives $11 = 11x$.
Then divide both sides by 11: $x = 1$.

Answer:

$1$