Question

if qr = x + 4, rs = 4, and qs = 3x, what is qs? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Set up segment sum equation

$QS = QR + RS$

Step2: Substitute given expressions

$3x = (x + 4) + 4$

Step3: Simplify right-hand side

$3x = x + 8$

Step4: Isolate x term

$3x - x = 8$
$2x = 8$

Step5: Solve for x

$x = \frac{8}{2} = 4$

Step6: Calculate QS

$QS = 3x = 3\times4$

Answer:

12