Answer:
Step-by-step explanation:
There were three friends and the total fare was $j
Each of the friends pays for their cab fare.
Since Angela also paid a $5 Tip
Total Amount Paid by Angela = Share of cab fare + Tip
We can simplify this further by taking the LCM.
The total amount paid by Angela therefore is :
Answer:
Step-by-step explanation:
You can find the remainder right away by simply plugging in
. The polynomial remainder theorem guarantees that the value of
is the remainder upon dividing
by
, but I digress...
Synthetic division yields
3 | 2 -11 18 -15
. | 6 -15 9
- - - - - - - - - - - - - - - - -
. | 2 -5 3 -6
which translates to
(and note that
, as expected)
interior angle of a regular 18-gon.
It is easier to calculate the exterior angle of a regular polygon of n-sides (n-gon) by the relation
exterior angle = 360/n
For a 18-gon, n=18, so exterior angle = 360/18=20 °
The value of each interior angle is therefore the supplement, or
Interior angle = 180-20=160 degrees.
Naming of a 9-gon
A polygon with 9 vertices is called a nonagon (in English) or enneagon (French ennéagone, but the English version is sometimes used)
You had a good start with the correct answer.
Exterior angle of a 15-gon
The exterior angle of a 15-gon can be calculated using the relation given in the first paragraph, namely
Exterior angle = 360/15=24 degrees