Question

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

Explanation:

Step1: Apply segment addition postulate

By segment addition postulate, \(PS = PR+RS\).

Step2: Substitute the given expressions

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

$$
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$$

Step3: Combine like - terms

Combine the \(x\) terms and the constant terms.

$$
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$$

Answer:

\(7x - 7\)