if pr = 4x - 2 and rs = 3x - 5, which expression represents ps?\np q r s\nx - 7\nx - 3\n7x - 7\n7x + 3
if pr = 4x - 2 and rs = 3x - 5, which expression represents ps?\np q r s\nx - 7\nx - 3\n7x - 7\n7x + 3
Answer
Answer:
C. $7x - 7$
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. $(4x+3x)+(-2 - 5)=7x-7$.