Question

if rs = 4x, st = 7, and rt = 5x, what is rt? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use segment - addition postulate

Since $RT=RS + ST$, we have the equation $5x=4x + 7$.

Step2: Solve the equation for $x$

Subtract $4x$ from both sides of the equation $5x=4x + 7$. So, $5x-4x=4x + 7-4x$, which gives $x = 7$.

Step3: Find the value of $RT$

We know that $RT = 5x$. Substitute $x = 7$ into the expression for $RT$. Then $RT=5\times7=35$.

Answer:

35