Question

IF BD = 4x + 3, find x. Round your answer to the nearest tenth if necessary. BC= 37 CD = X-3

Answer 1

The segments BC and CD are connected by the point C.

That means if we sum the length of BC and CD, we will have the length of BD.

So we can write the following equation to find the value of x:

`\begin{gathered} BC+CD=BD \\ 37+x-3=4x+3 \\ 34+x=4x+3 \\ 4x-x=34-3 \\ 3x=31 \\ x=(31)/(3)=10.333 \end{gathered}`

Rouding to the nearest tenth, we have x = 10.3