Answer:
A
Step-by-step explanation:
=2x+7-x^2+2
=-x^2+2x+9
Answer:
1. x = 40°
2. 4x - 25 = 135°
3. x + 5 = 45°
Step-by-step explanation:
1.
<u><em>According to the figure and since m//n then </em></u>
<u><em>The two angles of measures (respectively) 4x - 25 and x + 5 are supplementary .</em></u>
Then
4x - 25 + (x + 5) = 180°
Then
5x - 20 = 180
Then
5x = 200
Then
x = 200/5
Then
x = 40°
……………………
2.
x = 40
Then
4x - 25 = 4(40) - 25 = 160 - 25 = 135°
…………………………………………………………
3.
x = 40
Then
x + 5 = 40 + 5 = 45°
Answer:
Proof given by contradiction.
Step-by-step explanation:
Given that:
To prove:
is prime if and only if no positive integer > 1 and divides .
Solution:
First of all, let is a composite number i.e. not a prime number such that:
and and are prime and divides and also divides .
Let
or
1. :
is prime and is a divisor of .
2. :
We have assumed that
is a prime number and is a divisor of .
But we are given that no prime number divides but we have proved that divides .
So, it is a contradiction to our assumption.
Therefore, our assumption is wrong that is a composite number.
Hence, proved that is a prime number.
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