Question

Line /is the segment bisector of PQ. What is the value of x? Round your answer
to the tenths place.
5x - 7

Answer 1

Answer:

x = 2.6

Step-by-step explanation:

Here we have that line l is the bisector of segment PQ.

According to the definition of bisector, this means that line l cuts the segment PQ into two parts of equal length.

This means that the length of PM must be equal to the length of MQ. So we can write:

$|PM|=|MQ|\\5x-7=11-2x$

Now we have to solve the equation to find x. First, we add +7 on both sides:

$5x-7+7=11-2x+7\\5x=18-2x$

Now we add +2x on both sides:

$5x+2x=18-2x+2x\\7x=18$

And therefore,

$x=\frac{18}{7}=2.6$