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Answers
Answer:
Could you please zoom in and take a picture it looks blurred
Answer:
(20) 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25
(21) Yes, 14, 48 and 50 are a Pythagoras triplet
Step-by-step explanation:
(20) 1st odd number = 2x + 1
2nd odd number = 2x + 3
3rd odd number = 2x + 5
4th odd number = 2x + 7
5th odd number = 2x + 9
6th odd number = 2x + 11
7th odd number = 2x + 13
8th odd number = 2x + 15
9th odd number = 2x +17
10th odd number = 2x + 19
11th odd number = 2x + 21
12th odd number = 2x + 23
13th odd number = 2x + 25
(2x × 13) + 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 = 169
(2x × 13) + 169 = 169
26x + 169 = 169
26x = 169 - 169
26x = 0
x = 0/26
x = 0
Hence the 13 numbers are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25
(21) Hypotenuse (Longest) = 50
Perpendicular = 48
Base = 14
Pythagoras Theorem = B² + P² = H²
LHS = B² + P²
= 14² + 48²
= 196 + 2304
= 2500
RHS = H²
= 50²
= 2500
LHS = RHS hence 14, 48, 50 is a Pythagoras triplet.
Hope it helps