Lesson 5: Lines and Triangles Geometry A Unit 4: Parallel and Perpendicular Lines
2 answers:
Answer:
the value of the angle k is 73° .
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
Triangles have many important properties that are extremely helpful. One of the most important properties about all triangles is that the sum of all three interior angles sums up to be 180°. This being the case we can sum up the angles already given to us and subtract it from 180° in order to find the missing angle (k).
Finally, we can see that the value of the angle k is 73° .
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Answer with Step-by-step explanation:
Let Z be a set of integers
We have to prove that is odd for all value of x
Z.
There are two cases
1.When x is an odd integer number
2.when x is even integer number
1.When x is an odd integer number
When x is positive odd integer
Then is positive odd number (because square of odd positive number is always positive an odd number )
5x is also odd number
-5x -1 = -even number
Suppose x=3
Then -15-1=-16
Odd number - even number=Odd number
Hence , is an odd number .
When x is negative odd number
Then x square is positive odd number and 5x is negative odd term term
Therefore,odd number + odd number -1=Even number -1=Odd number
Hence is an odd number.
2.When x is an even number
When x is positive even number
x square is positive even number and 5x is positive even number
Even number -Even number -1 =Even number -odd number =Odd number
Suppose x=4
=16-20-1=-5=Odd number
When x is negative even number
Then x square is positive even number and 5x is negative even number
=Even number +Even number -1=Even number -1=Odd number
Hence, for all elements of Zis odd.