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Line /is the segment bisector of PQ. What is the value of x? Round your answer

to the tenths place.
5x - 7

Line /is the segment bisector of PQ. What is the value of x? Round your answer to-example-1

1 Answer

4 votes

Answer:

x = 2.6

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=(18)/(7)=2.6

User Bhola Prasad
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