Chapter 1.3, Problem 55PPS

To determine

To find the missing value

Answer to Problem 55PPS

Value of x is $\frac{9}{2}$ .

Explanation of Solution

Given information:

  $MG=7x-15,FG=33$

M is the midpoint of $FG$ .

Calculation:

According to question, M is the midpoint of $FG$ .

  $FG=FM+MG$

Solving,

  $FG=3x-4+5x-26$

Substituting values,

  $33=7x-15+FM$

Also, FM=MG

So,

  $33=7x-15+7x-15$

and,

  $33=14x-30$

Now,

  $\frac{33+30}{14}=x=\frac{9}{2}$

Hence, value of x is $\frac{9}{2}$ .