Question

1. if ad = 2x + 2 and cd = x + 11, what is the value of x? 7 3 13 9

Explanation:

Step1: Set up the equation

Since in the figure (presumably a kite - like shape where \(AD = CD\) as indicated by the congruence markings), we set \(2x + 2=x + 11\).

Step2: Isolate the variable \(x\)

Subtract \(x\) from both sides: \(2x - x+2=x - x + 11\), which simplifies to \(x + 2=11\).

Step3: Solve for \(x\)

Subtract 2 from both sides: \(x+2 - 2=11 - 2\), so \(x = 9\).

Answer:

D. 9