Final answer:
The Mollweide projection shows the size of Mexico more accurately than Alaska.
Step-by-step explanation:
The projection that shows the size of Mexico more accurately than Alaska is the Mollweide projection.
The Mercator projection, which is commonly used on maps, distorts the size of continents and distances as latitude increases. This means that landmasses near the poles, like Alaska, appear much larger than they actually are. On the other hand, the Mollweide projection preserves size correctly, and therefore provides a more accurate representation of the true sizes of countries.
For example, if you compare the Mercator projection to the actual country sizes, you will see that Africa appears smaller than it actually is. This is because the Mercator projection exaggerates the size of regions near the equator.