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chubhunter [2.5K]
2 years ago
11

Complete the two-column proof by providing a reason for each of the five statements.

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
5 0

Answer:

Reason:

1) assumptions given

2) RUTS is a rectangle

3) RUTS is a rectangle

4) because:

+) ∠STU and ∠SRU are the right angles

+) RU = ST; UT = RS

=> ΔURS ≅ ΔSTU (SAS)

5) because  ΔURS ≅ ΔSTU (SAS) => ∠USR = ∠SUT

Step-by-step explanation:

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Answer with Step-by-step explanation:

We are given that

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(a), (a,c), (a,d), (a,e), (a,c,d), (a,c,e), (a,d,e), (a,c,d,e)

Step-by-step explanation:

We are given the set (a,b,c,d,e).

Total number of subsets of the above set are 2^5 = 32

Subsets:

φ

(a,b,c,d,e)

(a), (b), (c), (d), (e)

(a,b), (a,c), (a,d), (a,e), (b,c), (b,d), (b,e), (c,d), (c,e), (d,e)

(a,b,c), (a,b,d), (a,b,e), (a,c,d), (a,c,e), (a,d,e), ( b,c,d), (b,c,e), (b,d,e), (c,d,e)

(a,b,c,d), (a,b,c,e), (a,b,d,e), (a,c,d,e), (b,c,d,e)

Subset having a but not b :

(a), (a,c), (a,d), (a,e), (a,c,d), (a,c,e), (a,d,e), (a,c,d,e)

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