Luke paid 12.69 for 3 greeting cards. Each card cost the same amount, c. Which equation and solution represent this situation?
2 answers:
Answer:
D.
Step-by-step explanation:
We have been given that Luke paid 12.69 for 3 greeting cards.
We are also told that each card cost the same amount, c, so the cost of 3 cards will be 3c.
Since the cost of 3 cards is 12.69, so we can represent this information in an equation as:
Upon dividing both sides of our equation by 3 we will get,
Upon looking at our given choices we can see that option D is the correct choice.
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Answer:
Given : ∠ABC is a right angle, ∠D BC is a straight angle.
To prove :∠AB D is a right angle.
Proof: ∠ ABC = 90°[ Given]
∠ D BC= 180° [ D BC is a straight line]
now, ∠ AB D and ∠ AB C are adjacent angles forming linear pair.
∠ AB D +∠ AB C =180° [By linear pair axiom]
⇒∠ AB D + 90= 180°
⇒∠ AB D=180°-90°
⇒∠ AB D=90°
∠AB D is a right angle
Hence proved.
