Question

use the image to answer the question.
given the rectangle ( a b c d ) as shown, find the value for ( x ) if ( d o = 4 x + 8 ) and ( c o = 15 x - 3 ).
(1 point)
( x = )

Explanation:

Step1: Use the property of rectangle diagonals

In a rectangle, the diagonals are equal and bisect each other. So \(DO = CO\).
$$4x + 8=15x - 3$$

Step2: 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:

\(1\)