Response:
The answer is many to one
Step-by-step explanation:[[TAG_9]][[TAG_10]][[TAG_11]]
Answer:
The sequence decreases by 5
thus the subsequent numbers are
-13,-18,-23,-28
Given: AD ≅ BC and AD ∥ BC
Prove: ABCD is a parallelogram.
Statements Reasons
1. AD ≅ BC; AD ∥ BC 1. provided
2. ∠CAD and ∠ACB are alternate interior angles 2. definition of alternate interior angles
3. ∠CAD ≅ ∠ACB 3. congruence of alternate interior angles
4. AC ≅ AC 4. reflexive property
5. △CAD ≅ △ACB 5. SAS congruency theorem
6. AB ≅ CD 6. Congruent triangles have congruent corresponding parts (CPCTC)
7. ABCD is a parallelogram 7. theorem for sides of parallelograms
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The correct response is 176
Answer: The least amount spent amounts to £12.92 Step-by-step explanation: Given Number of Cartons = 38 A carton costs 45 pence 4 cartons cost £1.56 In order to minimize expenses, one must opt for the cheaper choice. Since there are 100 pence in £1, this means that £1.36 is equivalent to x pence, where x * 1 = 1.36 * 100, leading to x = 136 pence for four cartons. To find the cost of a single carton, divide x by 4; thus, x/4 = 136p/4, resulting in x/4 = 34 pence. This indicates that a carton of juice can be purchased at 34 pence and 45 pence, with 34 pence being the better deal. Therefore, the total expenditure equals 34 * 38, which converts to 1292p and subsequently to £12.92.
