Nathan, Alan, Becky and Allison are each holding one of the following 4 cards. Nathan and Alan both have Spades. Becky and Alan
both have the same number. Which one has the 9 of hearts?
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1 answer:
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Answer:
Step-by-step explanation:
From the picture attached,
Statements Reasons
1). In ΔABC, DE intersects AB and AC 1). Given
2). DE║BC 2). Given
3). ∠ADE ≅ ABC 3). Corresponding angles postulate
4). ∠AED ≅ ∠ACB 4). Corresponding angles postulate
5). ΔADE ~ ΔABC 5). AA similarity postulate
6). 6). Definition of two similar triangles
Hence proved.