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

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:

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

Now we add +2x on both sides:

And therefore,

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.