The measure of each exterior angle of a regular 15-side polygon is
24°
Step-by-step explanation:
In any regular polygon
- All sides are equal in lengths
- All angles are equal in measures
- The measure of each interior angle =
, where n is the number of its sides - The measure of each exterior angle =
- The interior angle and the exterior angle at any vertex are supplementary
∵ The polygon is regular
∵ It has 15 sides
∴ n = 15
∵ The measure of each exterior angle =
∴ The measure of each exterior angle = 
∴ The measure of each exterior angle = 24°
The measure of each exterior angle of a regular 15-side polygon is
24°
Learn more:
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Answer:
$23.31
Step-by-step explanation:
$12.95/5
=$2.59/per bag
$2.59*9
=$23.31
Explanation: 3 x 2 + 10 x + 3 We can Split the Middle Term of this expression to factorise it. In this technique, if we have to factorise an expression like a x 2 + b x + c , we need to think of 2 numbers such that: N 1 ⋅ N 2 = a ⋅ c = 3 ⋅ 3 = 9 and, N 1 + N 2 = b = 10 After trying out a few numbers we get: N 1 = 9 and N 2 = 1 9 ⋅ 1 = 9 , and 9 + ( 1 ) = 10 3 x 2 + 10 x + 3 = 3 x 2 + 9 x + 1 x + 3 = 3 x ( x + 3 ) + 1 ( x + 3 ) ( 3 x + 1 ) ( x + 3 ) is the factorised form for the expression.
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9
and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1
9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3
=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.
