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:
[See Below]
Step-by-step explanation:
✦ Turn fractions into decimals:
- (We will do something different for
and 
.)
✦ Divide:
- ÷
- (Since the denominators are multiplies of each other we can divide them without having to change them into decimals.)
✦ Simplified Equation:
✦ Add:
✦ Subtract:
- (Subtraction rule is if there is 2 negatives next to each other in a problem it turns into a positive.)
✦ So your answer would be:
(Exact Form)
(Mixed Number Form)
(Decimal Form)
~<em>Hope this helps Mate. If you need anything feel free to message me. </em>
Answer:
S₁₅ = 645
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
= 
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Using the nth term formula 
= 5n + 3 , then
a₁ = 5(1) + 3 = 5 + 3 = 8
a₂ = 5(2) + 3 = 10 + 3 = 13 , then
d = a₂ - a₁ = 13 - 8 = 5
Thus
S₁₅ = 
[ (2 × 8) + (14 × 5) ]
= 7.5( 16 + 70)
= 7.5 × 86
= 645
Your answer will be B 12.5% because there's one whole that equals 10 and the second box that has 2 and a half that's equals 2.5 and then you add them together...
10+2.5=12.5
So your answer is B 12.5.
