Question

given that abcd is a rectangle with ao = 4x - 3 and bo = 5x - 10, what is the value of x?

Explanation:

Step1: Use rectangle property

In a rectangle, the diagonals are equal and bisect each other. So \(AO = BO\).
$$4x - 3=5x - 10$$

Step2: Solve the equation

Subtract \(4x\) from both sides:
$$- 3=x - 10$$
Add \(10\) to both sides:
$$x = 7$$

Answer:

\(x = 7\)