if ( pr = 4x - 2 ) and ( rs = 3x - 5 ), which expression represents ( ps )?\n\n( x - 7 )\n( x - 3 )\n( 7x…
if ( pr = 4x - 2 ) and ( rs = 3x - 5 ), which expression represents ( ps )?\n\n( x - 7 )\n( x - 3 )\n( 7x - 7 )\n( 7x + 3 )
Answer
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
[ \begin{align*} PS&=(4x+3x)+(- 2-5)\ &=7x-7 \end{align*} ]
Answer:
(7x - 7) (the third option)