91Ó°ÊÓ

The coordinates of points L and X are 16 and 40 respectively. N is the midpoint of $\stackrel{¯}{LX}$, and Y is the midpoint of $\stackrel{¯}{LN}$.

Therefore, the diagram is:

From the figure,

$$\begin{gathered} LX=40−16 \\ =24 \end{gathered}$$

As N is the midpoint of LX, then,

$$\begin{gathered} LN=\frac{LX}{2} \\ =\frac{24}{2} \\ =12 \end{gathered}$$

Therefore, the length of LN is 12.

The coordinates of points L and X are 16 and 40 respectively. N is the midpoint of $\stackrel{¯}{LX}$, and Y is the midpoint of $\stackrel{¯}{LN}$.

The diagram is:

From the figure, coordinate of N is given by:

$$\begin{gathered} OL+LN=16+12 \\ =28 \end{gathered}$$

Therefore, the coordinate of N is 28.

The coordinates of points L and X are 16 and 40 respectively. N is the midpoint of $\stackrel{¯}{LX}$, and Y is the midpoint of $\stackrel{¯}{LN}$.

The diagram is:

As Y is the midpoint of LN, and from subpart (a)$LN=12$ then,

$$\begin{gathered} LY=\frac{LN}{2} \\ =\frac{12}{2} \\ =6 \end{gathered}$$

Therefore, the length of LY is 6.

The coordinates of points L and X are 16 and 40 respectively. N is the midpoint of $\stackrel{¯}{LX}$, and Y is the midpoint of $\stackrel{¯}{LN}$.

The diagram is:

From the figure, coordinate of Y is given by:

$\begin{array}{c}OL+LY=16+6\\ =22\end{array}$

Therefore, the coordinate of Y is 22.