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find the indicated value. 3. if rt = 36, find the value of x.

Question

find the indicated value. 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

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

Step3: Isolate 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:

$x = 4$