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lawyer [7]
3 years ago
5

Given that x is an integer and that –15 <x 5 35,write down the least value of x.​

Mathematics
1 answer:
Alborosie3 years ago
8 0

Answer:

a) d = 3 b) a(n) = 3n – 13 c) a(27) = 68

Step-by-step explanation:

solutions are (x, y) = (29,13) and (9349, 4181), which lead to (a, b) = (15,5) and (4895 ... corresponding to integer values of x give the quadruples. (x, y, z ... Since no number congruent to 3, modulo 4, can be written as the sum of two squares ... k is odd, the equation x2 - (k2 - 4)y2 = 4 has smallest solution in positive integers .

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3 years ago
A partial proof was constructed given that MNOP is a parallelogram.
Yanka [14]
A diagram of parallelogram MNOP is attached below

We have side MN || side OP and side MP || NO

Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.

Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size. 

∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines

∠N+∠O=180° and ∠O+∠P=180°

∠N and ∠P are of equal size

we deduce further that ∠M and ∠O are of equal size

Hence, the correct statement to complete the proof is

<span>∠M ≅ ∠O; ∠N ≅ ∠P

</span>

4 0
3 years ago
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