Answer and explanation:
Statement - If the difference of two numbers is even then so is their sum.
Let the two even numbers be '2m' and '2n' with m and n are integers.
The difference of two number is

Now, The sum of the numbers is

Let
where k is an integer
Then,
which is also an even number as 2 is multiplied with it.
So, If the difference of two numbers is even then so is their sum.
For example -
Let two even number 2 and 4.
The difference is
, 2 is even.
The sum is
, 6 is even.
Both angles 2x+6 and 96 shown are vertically opposite angles and vertically opposite angles are always equal
so 2x+6 should be equal to 96
so 2x + 6 = 96
Now we have to solve for x here and have to get x by itself on left hand side
So first get rid of +6 by doing its opposite -6 on both sides
2x + 6 -6 = 96 -6
2x = 90
Now to get x by itself we have to get rid of 2, for that divide both sides by 2

x = 45
Hence proved that x = 45
<u><em>Answer:</em></u>
You should multiply the expression by 
<u><em>Explanation:</em></u>
To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign
<u>This means that:</u>
The conjugate of a + b would be a - b
Now, the given expression is 
<u>Consider the denominator:</u>
From the above, we can conclude that the conjugate of
is 
<u>And, remember that</u> we need to keep the value of the expression unchanged. This means that we must multiply both the numerator and the denominator by the same value
<u>Therefore:</u>
You should multiply the expression by
in order to rationalize the denominator
Hope this helps :)
Answer:

Step-by-step explanation:
Let
x -----> the number of days
y ----> the total cost in dollars,
we know that
The equation of a linear function in slope intercept form is equal to

where
m is the slope o rate of the linear equation
b is the y-coordinate of the y-intercept
Remember that the y-intercept is the value of y when the value of x is equal to zero
In this problem we have
The slope is equal to the rental cost per day
so

When the number of days is equal to zero (x=0) the total cost is equal to $40 (administrative fee for the cleaning and maintenance of the car)
The y-intercept is the point (0,40)
so

substitute the values

Answer:
The length of its side is 30 cm
Step-by-step explanation:
<h3><u>Given</u><u>:</u></h3>
An equilateral triangle with the perimeter of 90cm.
In a Equilateral Triangle all sides are equal
i.e., all 3 sides are equal
Now,
90/3 = 30 cm
Thus, The length of its side is 30 cm
<u>-TheUnknownScientist</u><u> 72</u>