Question

if ( pr = 4x - 2 ) and ( rs = 3x - 5 ), which expression represents ( ps )?

( x - 7 )
( x - 3 )
( 7x - 7 )
( 7x + 3 )

Explanation:

Step1: Use the segment addition postulate

According to the segment addition postulate, \(PS = PR+RS\).

Step2: Substitute the given expressions

Substitute \(PR = 4x - 2\) and \(RS=3x - 5\) into the equation: \(PS=(4x - 2)+(3x - 5)\).

Step3: Combine like terms

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Answer:

\(7x - 7\) (the third option)