<span>Sum of Interior Angles: Formula: (n-2) * 180
-Pentagon: 540</span>°<span>
-Hexagon: 720</span>°<span>
-Octagon: 900</span>°<span>
-Nonagon: 1260</span>°<span>
-Decagon: 1440</span>°<span>
-Dodecagon: 1800</span>°
Each interior Angle: Formula: [(n-2)*180] / n
-Pentagon: 108°
-Hexagon: 120°
-Octagon: 135°
-Nonagon: 140°
-Decagon: 144°
-Dodecagon: 150°
The sum of the exterior angles of each polygon stated above is equal to 360 degrees. Using the formula: (180-interior angle) * n
The central angle is formed by making a circle in the middle and divide it by the number of sides. Therefore, CA = 360 /n
-Pentagon: 72°
-Hexagon: 60°
-Octagon: 45°
-Nonagon: 40°
-Decagon: 36°
-Dodecagon: 30°
0.3 is your answer to your question
Answer:
12y+4x
Step-by-step explanation:
Multiply 4*3y and 4*x
Distributive property
Answer: Hello your question is poorly written attached below is the complete question
answer:
![y = \left[\begin{array}{ccc}-4\\-11\\5\end{array}\right]](https://tex.z-dn.net/?f=y%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%5C%5C-11%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
![x = \left[\begin{array}{ccc}16\\12\\-40\end{array}\right]](https://tex.z-dn.net/?f=x%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D16%5C%5C12%5C%5C-40%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
![y = \left[\begin{array}{ccc}-4\\-11\\5\end{array}\right]](https://tex.z-dn.net/?f=y%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%5C%5C-11%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
![x = \left[\begin{array}{ccc}16\\12\\-40\end{array}\right]](https://tex.z-dn.net/?f=x%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D16%5C%5C12%5C%5C-40%5Cend%7Barray%7D%5Cright%5D)
attached below is the detailed solution using LU factorization
Answer:
The measure of ∠G is 59°
Step-by-step explanation:
<em>When </em><em>two secants</em><em>, intersect at </em><em>a point outside a circle</em><em> then the </em><em>measure of the angle formed between them</em><em> is </em><em>one-half the positive difference of the measures of the intercepted arcs.</em>
<em></em>
In the given figure
∵ GT is a secant that intersects the circle at points H and T
∵ GE is a secant that intersects the circle at points F and E
∴ The intercepted arcs are HF and TE
∵ GT ∩ GE at G
∵ Point G is outside the circle
→ By using the rule above
∴ m∠G =
(m arc TE - m arc HF)
∵ m arc TE = 175°
∵ m arc HF = 57°
→ Substitute them in the rule above
∵ m∠G =
(175 - 57) =
(118)
∴ m∠G = 59
∴ The measure of ∠G is 59°