if pr = 4x - 2 and rs = 3x - 5, which expression represents ps? p q r s x - 7 x - 3 7x - 7 7x + 3

Explanation:

Step1: Identify segment - addition postulate

By the segment - addition postulate, $PS=PR + RS$.

Step2: Substitute given expressions

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

Step3: Combine like terms

Combine the $x$ - terms and the constant terms: $(4x+3x)+(-2-5)=7x-7$.

Answer:

$7x - 7$