Question

name: juleen jackson date: 8 - 25 - 2025 ** this is a 2 - page use the diagram below to answer questions 1 and 2. 3. if ( rt = 36 ), find the value of ( x ).

Explanation:

Step1: Set up equation

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

Step2: Combine like - terms

Combining the $x$ terms and the constant terms on the left - hand side gives $6x+x+1 + 7=36$, which simplifies to $7x+8 = 36$.

Step3: Isolate the variable term

Subtract 8 from both sides of the equation: $7x+8−8=36−8$, resulting in $7x=28$.

Step4: Solve for $x$

Divide both sides of the equation by 7: $\frac{7x}{7}=\frac{28}{7}$, so $x = 4$.

Answer:

$x = 4$