Question

if tu = 10, uv = 2x, and tv = 7x, what is tv? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use segment - addition postulate

Since $TV=TU + UV$, we have $7x=10 + 2x$.

Step2: Solve the equation for x

Subtract $2x$ from both sides: $7x-2x=10+2x - 2x$, which simplifies to $5x = 10$. Then divide both sides by 5: $x=\frac{10}{5}=2$.

Step3: Find the value of TV

Since $TV = 7x$ and $x = 2$, then $TV=7\times2 = 14$.

Answer:

14