Question

if rs = 20x, st = 15, and rt = 18x + 19, what is rt? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Set up the equation

Since $RT = RS+ST$, we have $18x + 19=20x+15$.

Step2: Solve for $x$

Subtract $18x$ from both sides: $19 = 2x+15$. Then subtract 15 from both sides: $2x=19 - 15=4$. Divide both sides by 2, so $x = 2$.

Step3: Find the value of $RT$

Substitute $x = 2$ into the expression for $RT$. $RT=18x + 19=18\times2+19=36 + 19=55$.

Answer:

55