Answer:
18.75 units
Step-by-step explanation:
The segments between [tex]l[/tex] and [tex]m[/tex] and between [tex]m[/tex] and [tex]n[/tex] are proportional. Therefore, we can say the following:
[tex]\frac{24}{32} =\frac{x}{25}[/tex]
Now, if we multiply both sides of the equation by 25 we can find [tex]x[/tex]:
[tex]\frac{24}{32} =\frac{x}{25}\\\\25(\frac{24}{32})=x\\\\\frac{75}{4}=x\\\\ 18.75=x[/tex]
Therefore, [tex]x[/tex] equals 18.75. This is reasonable, as it looks to be a little shorter than the line segment marked as 24 units in length.
