Answer:
The answer is 4.797752129
Your answer is D because 10*2 is 20 and 6*2 is 12 so 12 out of the next 20 customers will purchase a sandwich.
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Answer: C) ASA Theorem</h3>
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Explanation:
Let's go through the answer choices one at a time.
- A) The AA postulate is only used for similar triangles, and not congruent triangles. We need information about at least one pair of sides. Using the angles only isn't enough. We can rule out choice A.
- B) The HL postulate only applies to right triangles. These triangles are acute triangles, so we can rule out choice B.
- C) This is the answer as we can rule out choice D, so this is the only thing left. Also, if we know that angle A = angle A'' and angle B = angle B'', then we could use the ASA theorem to prove the triangles congruent.
- D) This is not a valid congruence theorem. This is because we could have ambiguous cases that arise and lead to confusion. Also, it is possible that if we know two sides and a non-included angle, then a triangle may not be able to be formed. It will depend on the angle and side values. Therefore, we can rule out choice D.
8. Adjacent and complementary angles are #1 & 2, since they are next to each other and added together equal 90°
9. Vertical angles are # 1 & 4, since they are opposite to each other.
10. Adjacent and supplementary angles are #4&5, since they are next to each other and add up to 180°
11. The acute angles are #1&2&4, since they are all less than 90°
12. The obtuse angles are #5&6, since they are greater than 90°
13. The angle measurements are:
1: 42°
2: 90-#1 = 90-42 = 48°
3: right angle = 90°
4: opposite #1 = 42°
5: 180-#4 = 180-42 = 138°
6. opposite #5 = 138°
btw, we cannot see the diagram for #5,6,7
