If Delta ABCcong Delta ADC which equation must be true? 2x+3=6 2x+3=9 3x-1=6 3x-1=9

Given that \(\triangle ABC \cong \triangle ADC\), we know that the corresponding sides of the triangles are equal. Therefore, we have:AB = ADBC = CDFrom the picture details, we have the following lengths for the sides of the quadrilateral:AB = 8BC = 2x + 3CD = 9AD = 3x - 1Since AB = AD, we can set their lengths equal to each other:8 = 3x - 1Now, let's solve for x:Step 1: Add 1 to both sides of the equation to isolate the term with x on one side:8 + 1 = 3x - 1 + 19 = 3xStep 2: Divide both sides by 3 to solve for x:9 / 3 = 3x / 33 = xNow, we have the value of x. We can check which of the given equations must be true. Since BC = CD and CD is given as 9, we can substitute the value of x into the equation for BC:BC = 2x + 3Substitute x = 3:BC = 2(3) + 3BC = 6 + 3BC = 9Therefore, the equation that must be true is:\(2x + 3 = 9\)Answer: \(2x + 3 = 9\)