The area of sector is 1.57 m²
<u>Explanation:</u>
Given:
Radius, r = 3 m
Central angle of a sector = 1/9π radians
Area of sector, A = ?
We know:
Area of sector, A = 
where,
α is the central angle in radians
On substituting the value we get:
Therefore, the area of sector is 1.57 m²
Answer:
Amaya is wrong.
Step-by-step explanation:
The perimeter of the square is 20 inches, which means each side of the square needs to add up to 20 inches. If the side length of that side Amaya pointed out is 4 inches, then the total perimeter would only be 18 inches, in another case, if they were talking about the area of the square/rectangle (now), it would be 20 inches. So, Amaya is wrong.
<h2>
Answer:</h2>
∠LMN is a right angle
<h2>
Step-by-step explanation:</h2>
If we want to prove that two right triangles are congruent by knowing that the corresponding hypotenuses and one leg are congruent, we begin as follows:
- Since two legs are congruent and we know this by the hash marks, then the triangle ΔLKN is isosceles.
- By definition LN ≅ NK
- If ∠LMN is a right angle, then MN is the altitude of triangle ΔLKN
- Also MN is the bisector of LK, so KM ≅ ML
- So we have two right triangles ΔLMN and ΔKM having the same lengths of corresponding sides
- In conclusion, ΔLMN ≅ ΔKMN
The answers would be 49,51,and53!
