Answer:
![22 > x > 10](https://tex.z-dn.net/?f=22%20%3E%20x%20%3E%2010)
![10 < x < 22](https://tex.z-dn.net/?f=10%20%3C%20x%20%3C%2022)
Step-by-step explanation:
Given
![Side\ 1 = 6](https://tex.z-dn.net/?f=Side%5C%201%20%3D%206)
![Side\ 2 = 16](https://tex.z-dn.net/?f=Side%5C%202%20%3D%2016)
Required
Determine the inequality that represents the third side
Represent the third side with x.
For the triangle to be true, two of the following condition must be true.
![6 + 16 > x](https://tex.z-dn.net/?f=6%20%2B%2016%20%3E%20x)
![6 + x > 16](https://tex.z-dn.net/?f=6%20%2B%20x%20%3E%2016)
![16 + x > 6](https://tex.z-dn.net/?f=16%20%2B%20x%20%3E%206)
![6 + 16 > x](https://tex.z-dn.net/?f=6%20%2B%2016%20%3E%20x)
-- True
![6 + x > 16](https://tex.z-dn.net/?f=6%20%2B%20x%20%3E%2016)
![x > 16 - 6](https://tex.z-dn.net/?f=x%20%3E%2016%20-%206)
-- True
![16 + x > 6](https://tex.z-dn.net/?f=16%20%2B%20x%20%3E%206)
![x > 6 - 16](https://tex.z-dn.net/?f=x%20%3E%206%20-%2016)
--- False; Because, x can't be negative.
So, we have:
and ![x > 10](https://tex.z-dn.net/?f=x%20%3E%2010)
This can be combined to give:
![22 > x > 10](https://tex.z-dn.net/?f=22%20%3E%20x%20%3E%2010)
or
![10 < x < 22](https://tex.z-dn.net/?f=10%20%3C%20x%20%3C%2022)
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>
Answer:
60.15 km
Step-by-step explanation:
If 6 km on the map represents 4 mi on land, then we'd get the answer by using the relation
6 km -> 4 mi
x km -> 40.1 mi
Where x km is the length on the map we're looking for. If we cross multiply
6 * 40.1 = 4x
240.6 = 4x
x = 240.6/4
x = 60.15 km.
That is the length we're looking for
Point.
<h3>Further explanation</h3>
- This is one of the classic problems of Euclidean geometry.
- The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.
- We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.
Types of Angles
- The acute angle represents an angle whose measure is greater than 0° and less than 90°.
- The right angle is an angle that measures 90° precisely.
- The obtuse angle represents an angle whose measures greater than 90° and less than 180°.
- The straight angle is a line that goes infinitely in both directions and measures 180°. Carefully differentiate from rays that only runs in one direction.
<u>Note:</u>
Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.
These key terms cannot be mathematically defined using other known words.
- A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
- A line represent an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
- A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.
<h3>Learn more
</h3>
- Undefined terms are implemented to define a ray brainly.com/question/1087090
- Definition of the line segment brainly.com/question/909890
- What are three collinear points on a line? brainly.com/question/5795008
Keywords: the definition of an angle, the undefined term, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry