Question

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

Explanation:

Step1: Use 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 formula: \(PS=(4x - 2)+(3x - 5)\).

Step3: Simplify the expression

Combine like - terms: \((4x+3x)+(-2 - 5)=7x-7\).

Answer:

\(7x - 7\)