Question

rs = 27. find qs. q 9x r 12x - 21 s
103
25
63
72

Explanation:

Step1: Set up equation for RS

Since $RS = 12x - 21$ and $RS = 27$, we have the equation $12x-21 = 27$.
$$12x-21 = 27$$

Step2: Solve for x

Add 21 to both sides of the equation:
$$12x=27 + 21$$
$$12x=48$$
Divide both sides by 12:
$$x=\frac{48}{12}=4$$

Step3: Find QR

$QR = 9x$, substitute $x = 4$ into it, so $QR=9\times4 = 36$.

Step4: Find QS

$QS=QR + RS$. We know $QR = 36$ and $RS = 27$, so $QS=36 + 27=63$.

Answer:

63