The convex heptagon has 14 distinct diagonals can be drawn
Step-by-step explanation:
A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the lines connecting any two non-adjacent vertices lie completely inside the heptagon
The formula of number of diagonals in any polygon is
, where
- d is the number of the diagonals of the polygon
- n is the number of sides of the polygon
∵ The heptagon has 7 sides
∴ n = 7
∵ The number of diagonals =
- Substitute n by 7 in the rule above
∴ The number of diagonals = 
∴ The number of diagonals = 
∴ The number of diagonals = 
∴ The number of diagonals = 14
The convex heptagon has 14 distinct diagonals can be drawn
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Answer:
5xyz
Step-by-step explanation:
10x^2 y^2z and 15xyz^2
Rewriting
2*5*x*x*y*y*z and 3*5 *x*y*z*z
What is common to both terms
5 x y z
The greatest common factor is 5xyz
Answer:
∠ 3 = 50°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an exterior angle of the triangle, so
90° + ∠ 3 = ∠ 1
90° + ∠ 3 = 140° ( subtract 90° from both sides )
∠ 3 = 50°
Answer:
158 boxes
Step-by-step explanation:
dived 2528 by 16 you get 158
It's 91 degrees
supplementary angles mean
angles having sum of 180 degrees
89+91=180