Question

1. if lm = 9x + 27 and rs = 135, find x.

Explanation:

Step1: Set up the equation

Since the two - triangles seem to be congruent and corresponding sides are equal, we set $LM = RS$. So, $9x + 27=135$.

Step2: Isolate the term with x

Subtract 27 from both sides of the equation: $9x=135 - 27$. Then $9x = 108$.

Step3: Solve for x

Divide both sides of the equation by 9: $x=\frac{108}{9}$. So, $x = 12$.

Answer:

12