Question

If TV= 74and WV= 4x + 1 solove foe x

Answer 1

The value of x is 9

Explanation:

If we look at the graph we can see that the segment TV is divided into two equal segments, TW and WV, which means that we can establish the following equation:

`\begin{gathered} TV=TW+WV \\ TW=WV \\ \text{ therefore} \\ TV=WV+WV \\ TV=2\cdot WV \end{gathered}`

We replace and solve for x:

`\begin{gathered} 74=2\cdot(4x+1) \\ 8x+2=74 \\ 8x=74-2 \\ x=(72)/(8) \\ x=9 \end{gathered}`