5^5 mod 7 = 3
5^4 mod 7 = 2
5^3 mod 7 = 6
3 -2 +6 mod 7 = 0
Therefore, 5^5 -5^4 +5^3 mod 7 = 0 and that sum is divisible by 7.
Answer:
- The sum of the interior angles of the 15-gon

- Each interior angle of the regular polygon

Step-by-step explanation:
As we know that
In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,
The number of triangles thus formed would always 2 LESS than the number of sides.
As
- The sum of measure of the angles of any triangle is 180°.
Thus,
The sum of the interior angles of the 15-gon will be:

Also
15-gon is regular, it means this total
is shared in equal proportion among the 15 interior angles.
And
Each interior angle of the regular polygon will be: 
Therefore, we conclude that:
- The sum of the interior angles of the 15-gon

- Each interior angle of the regular polygon

Keywords: regular polygon, 15-gon, triangle
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Answer:
117
Step-by-step explanation:
Sum of all the angles of a triangle is 180
Let the third angle be 'x'
41 + 22 + x = 180
63 + x = 180
x = 180 - 63
x = 117
dilation is when a shape changes size, from small to big or big to small.
Answer:
The answer is <em>1</em>.
Step-by-step explanation:
Given the expression:

To find:
The expression without absolute value.
Solution:
First of all, let us learn about the absolute value function:

i.e. value is x if x is positive
value is -x if x is negative
Here the given expression contains two absolute value functions:
and 
Using the definition of absolute value function as per above definition.


Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6
So, given expression
will be equivalent to :

So, the expression is equivalent to <em>1</em>.