Question

c is the midpoint of $overline{bd}$. if $cd = x + 3$ and $bd = 5x + 3$, what is $bd?
simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use mid - point property

Since C is mid - point of BD, BD = 2CD. So, 5x + 3=2(x + 3).

Step2: Solve the equation

5x + 3 = 2x+6, 5x - 2x=6 - 3, 3x = 3, x = 1.

Step3: Find BD

Substitute x = 1 into BD = 5x + 3, BD=5×1 + 3 = 8.

Answer:

8