The numerical length of segment RS when R is the midpoint of PS is 16.
Hence, option B)16 is the correct answer.
What is the length of RS, when R is the midpoint of PS?
Given the data in the question;
- R is the midpoint of segment PS
- Segment PR = 7x - 5
- Segment RS = 4( x + 1 )
- Numerical length of RS = ?
Since R is the midpoint of PS, R divides PS into two equal halves.
Hence
PR = RS
7x - 5 = 4( x + 1 )
7x - 5 = 4x + 4
7x - 4x = 4 + 5
3x = 9
x = 9/3
x = 3
To get the numerical length of segment RS, we plug in x = 3.
Segment RS = 4( x + 1 )
Segment RS = 4( 3 + 1 )
Segment RS = 12 + 4
Segment RS = 16
The numerical length of segment RS when R is the midpoint of PS is 16.
Hence, option B)16 is the correct answer.
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