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2 answers:
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We need to convert the mixed fractions into improper fractions.
1*8 = 8
8+7 = 15
15/8
2*3 = 6
6+1 = 7
7/3
Now we can finish and multiply
15*7 = 105
8*3 = 24
Simplify 105/24
105/24
24*4 = 96
105 - 96 = 9
4 is the whole number, and 9 is the numerator.
4 9/24
Simplify that,
9/3 = 3
24/3 = 8
4 3/8
Answer:
1*8 = 8
8+7 = 15
15/8
2*3 = 6
6+1 = 7
7/3
Now we can finish and multiply
15*7 = 105
8*3 = 24
Simplify 105/24
105/24
24*4 = 96
105 - 96 = 9
4 is the whole number, and 9 is the numerator.
4 9/24
Simplify that,
9/3 = 3
24/3 = 8
4 3/8
Answer:
Answer:
The measure of one angle of a regular convex 20-gon is 162°
Step-by-step explanation:
* Lets explain how to solve the problem
- A convex polygon is a polygon with all the measures of its interior
angles less than 180°
- In any polygon the number of its angles equal the number of its sides
- A regular polygon is a polygon that is all angles are equal in measure
and all sides are equal in length
- The rule of the measure of an angle of a regular polygon is
, where m is the measure of each interior
angle in the polygon and n is the numbers of the sides or the angles
of the polygon
* Lets solve the problem
- The polygon is convex polygon of 20 sides (20 angles)
- The polygon is regular polygon
∵ The number of the sides of the polygon is 20 sides
∴ n = 20
∵ The polygon is regular
∴ All angles are equal in measures
∵ The measure of each angle is
∴
∴
∴
∴ m = 162
∴ The measure of one angle of a regular convex 20-gon is 162°