Final answer:
Heat stroke is the heat illness that is a medical emergency and presents with a red, hot, dry face and a core body temperature that exceeds 104 degree F.
Step-by-step explanation:
The heat illness that is a medical emergency and presents with a red, hot, dry face and a core body temperature that exceeds 104 degree F is heat stroke. Heat stroke is the most severe heat-related illness and can be life-threatening if not promptly treated. It occurs when the body's temperature regulation system fails and the body temperature rises dangerously high.
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