4|x+5| -2 <10
Angles of a triangle always add up to 180 degrees. The given angles (90, 90, 20 degrees) give a total of 200 degrees, hence they cannot form a triangle.
In order for three angles to form a triangle, they must satisfy the triangle inequality theorem, which states that the sum of the measures of any two angles in a triangle must be greater than the measure of the third angle.
In this case, you have angles measuring 90 degrees, 90 degrees, and 20 degrees. Let's apply the theorem:
1. Angle 1: 90 degrees
2. Angle 2: 90 degrees
3. Angle 3: 20 degrees
Now, let's check if these angles satisfy the triangle inequality theorem:
- Angle 1 + Angle 2 = 90 degrees + 90 degrees = 180 degrees
- Angle 3 = 20 degrees
According to the theorem, the sum of any two angles must be greater than the measure of the third angle. However, in this case, the sum of Angle 1 and Angle 2 (180 degrees) is not greater than Angle 3 (20 degrees). Therefore, these angles do not satisfy the triangle inequality theorem.
So, the answer is "no," 90 degrees, 90 degrees, and 20 degrees cannot form a triangle because they do not satisfy the triangle inequality theorem.
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Answer:
no. never.
Step-by-step explanation:
total internal angles of a triangle sum to 180. 90 + 90 is 180 so no, you cannot have a triangle with sides 90 90 and 20. it is possiblw to have 90 45 and 45 though
Answer: 11 I think
Step-by-step explanation:
The distance from the starting point is approximately 29.14 meters and the compass direction of the line connecting the starting point to the end point is approximately 50.03° east of north.
To find the distance from the starting point, we can use the Pythagorean theorem which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. In this case, the two legs of the triangle represent the distances walked in the east and north directions. So, the distance from the starting point is:
Distance = sqrt((18.5)^2 + (22.5)^2)
Distance = sqrt(342.25 + 506.25)
Distance = sqrt(848.50)
Distance ≈ 29.14 meters
To determine the compass direction of the line connecting the starting point to the end point, we can use trigonometry. We can find the angle of this line with respect to the east direction using the tangent function:
Angle = arctan(22.5/18.5)
Angle ≈ 50.03°
Therefore, the distance from the starting point is approximately 29.14 meters and the compass direction of the line connecting the starting point to the end point is approximately 50.03° east of north.
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