Question

if bc = 28, and bd = 6x - 4, then x =?

Explanation:

Step1: Set up the equation

Since $BC = BD$ (from the congruence markings in the diagram), we set up the equation $6x - 4=28$.

Step2: Add 4 to both sides

$6x-4 + 4=28 + 4$, which simplifies to $6x=32$.

Step3: Divide both sides by 6

$x=\frac{32}{6}=\frac{16}{3}$.

Answer:

$x = \frac{16}{3}$