Chapter 1.3, Problem 6BCYP

To determine

To find the value of x

Answer to Problem 6BCYP

Value of x is 8.5.

Explanation of Solution

Given information:

  $C$ is the midpoint of $\overline{AB}$

  $AC=4x+5$

  $AB=78$

Calculation:

According to question, $C$ is the midpoint of $\overline{AB}$

So,

  $CB=AC$

Also,

  $CB+AC=AB$

Substituting values,

  $4x+5+4x+5=Ab$ .........( $CB=AC$ )

Solving for x ,

  $8x+10=78$

So,

  $8x=68$

Dividing by 8,

  $x=\frac{68}{8}$

Hence, value of x is 8.5.