Question

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

Explanation:

Step1: Use the property of rectangle diagonals

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 the equation for \(x\)

Subtract \(4x\) from both sides: \(8 = 11x-3\).
Add \(3\) to both sides: \(11 = 11x\).
Divide both sides by \(11\): \(x = 1\).

Answer:

\(1\)