Question

Using the following image, if JL=120, what are X,JK, And KL

Answer 1

Given: A-line segment JL=120 units,

`\begin{gathered} JK=4x+6 \\ KL=7x+15 \end{gathered}`

Required: To determine the value of x, JK, and KL.

Explanation: From the given figure, we can write

`JK+KL=JL`

We are now putting the values-

`\begin{gathered} 4x+6+7x+15=120 \\ 11x=120-21 \\ 11x=99 \\ \end{gathered}`

Hence

`x=9`

Now

`\begin{gathered} JK=4x+6 \\ =4*9+6 \\ =42\text{ units} \end{gathered}`

And

`\begin{gathered} KL=7x+15 \\ =7*9+15 \\ =78\text{ units} \end{gathered}`

Final Answer: The value of

`\begin{gathered} x=9 \\ JK=42\text{ units} \\ KL=78\text{ units} \end{gathered}`