The two angles are alternate exterior angles, so they have the same measure.
5x+42=8x-15
5x+57=8x
57=3x
x=19
When you expand the equation, you will have
9x + 9=25 + x
Next you have to collect like terms
+x will go over the equality sign to become -x. The same applies to +9
9x - x=23 - 9
9x minus x is 8x
8x=14
Divide both sides by 8
x=14/8
You will have 1 6/8
6 is the remainder while 1 is the number of times 8 divided 14.
In decimal, it will be 1.75
Hope that helped. Good luck
The cost of the phone contract will be mathematically given as
C = 45 + 13m
This is further explained below.
<h3>
What is the formula?</h3>
Generally, According to the information provided, the monthly cost of the fixed line rental is £45, and the price of calls made is £13, thus the monthly cost will be represented by the following:
C = 45 + (13 × m)
Therefore
C = 45 + 13m
As a result, the price of the phone contract will be equal to C = 45 plus 13m, where m is the number of months in the contract.
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Answer:
Step-by-step explanation:
General form of the linear differential equation can be written as:

For this case, we can rewrite the equation as:

Here 
To find the solution (y(x)), we can use the integration factor method:

Then 
So, we can find:

Suppose that
, then
, and we find:

To check our solution is right or not, put your y(x) back to the ODE:



(it means your solution is right)