Answer:
Common difference = 5.
Step-by-step explanation:
General term of an arithmetic sequence is a1 + (n - 1)d where a1 = first term and d = common difference.
So here the first term is 8 + (1-1)d = 8 and the 10th term = 8 + (10-1)d = 53
giving 8 + 9d = 53
9d = 45
d = 5.
Answer:
Value of 
Step-by-step explanation:
When the two lines being crossed are Parallel Lines the Corresponding Angles are equal.
Hence
Answer:
x = 120
Step-by-step explanation:
Let's draw an imaginary dot in the middle of that <u>line</u> which runs between those two parallel lines, and now lets look at it as an angle.
This lines' angle is 180 degrees. Now lets move those two parallel lines together on the imaginary dot in the middle.
We can see that on the left side is one degree and the other side is another, however when we put them together we get the angle measurement of the our line which we identified was 180.
Now that we can see that our two angles must equal 180 when put together we know and can say that:
40 + (x + 20) = 180
So, lets work this out like basic algebra now.
40 + x + 20 = 180
x + 60 = 180
- 60 - 60
x = 120
And voila we have our x value.
Hope this helps :)
