Question

1. if rt = 36, find the value of x.

r 6x + 1 s x + 7 t

Explanation:

Step1: Set up equation

Since $RT = RS+ST$, we have $(6x + 1)+(x + 7)=36$.

Step2: Combine like - terms

$6x+x+1 + 7=36$, which simplifies to $7x+8 = 36$.

Step3: Isolate the variable term

Subtract 8 from both sides: $7x=36 - 8$, so $7x=28$.

Step4: Solve for x

Divide both sides by 7: $x=\frac{28}{7}=4$.

Answer:

$4$