Final answer:
In a high-pressure region, descending air is compressed and warms, often leading to clear weather, which makes the statement true. Cold fronts force warm air upward, potentially causing stormy weather; thus, this statement is also true.
Step-by-step explanation:
The questions posed relate specifically to atmospheric conditions and their effect on weather patterns. Let's look at each statement:
1. In a high-pressure region, air is pushed down and warms up.
True (a). When the barometric pressure is high, air is indeed pushed downwards. This descending air is compressed and warms as it sinks, which is generally associated with clearer skies and fewer clouds, because the warming air inhibits the rising and cooling that would otherwise lead to cloud formation.
2. A cold front can lead to stormy weather.
True (a). A cold front occurs when a cooler air mass moves into an area of warmer air. This causes the warm, moist air to rise rapidly, which can condense into storm clouds and result in stormy weather, including thunderstorms, heavy rain, or even severe weather conditions like tornadoes.