Question

if rs = 4x, st = x + 2, and rt = 7, what is st?

simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Set up equation

Since $RT = RS+ST$, we have $4x+(x + 2)=7$.

Step2: Combine like - terms

Combining the $x$ terms on the left - hand side gives $5x+2 = 7$.

Step3: Isolate the variable term

Subtract 2 from both sides: $5x=7 - 2$, so $5x=5$.

Step4: Solve for x

Divide both sides by 5: $x=\frac{5}{5}=1$.

Step5: Find ST

Since $ST=x + 2$, substitute $x = 1$ into the expression for $ST$. Then $ST=1 + 2=3$.

Answer:

3