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

Since \(PS=PR + RS\) (by the segment addition postulate).

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

$$
LATEXBLOCK0
$$

Answer:

C. \(7x - 7\)