Question

If BD = 6x + 4, find x. Round your answer to the nearest tenth if necessary.BC = 77CD = x - 3

Answer 1

BD is the whole segment, while BC is one part and the CD segment is the other. The sum of two parts must be equal to the whole.

`BD=BC+CD`

Applying the expressions for each part we can solve for "x".

`\begin{gathered} 6x+4=77+(x-3) \\ 6x=77-4+x-3 \\ 6x-x=70 \\ 5x=70 \\ x=(70)/(5) \\ x=14 \end{gathered}`