Answer:
Step-by-step explanation:
<u><em>To Determine:</em></u>
Solve for x and find angle LMN.
<u><em>Fetching Information and Solution Steps:</em></u>
Considering the angle 
As MO bisects the angle into two equal angle parts. These equal angles are:
As these angles are equal. i.e.
Hence,
As was cut into two equal parts 
and 
So,
= 
= 
= 
= 
∵
= 
Therefore, 
Keywords: angle bisector, congruent angles
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Given:
Positions of two artifacts are at points (1, 4) and (5, 2).
To find:
The distance between these two artifacts.
Solution:
Distance formula: The distance between two points is
Using distance formula, the distance between two points (1, 4) and (5, 2) is
Round to the nearest tenth of a unit.
Therefore, the distance between two artifacts is 4.5 units.
Answer:
Height of the square pyramid is 6.569 centimeter
Step-by-step explanation:
The volume of the square pyramid is 94.5 cubic centimeters
The height of the square pyramid will be equal to the lengths of the sides of the square.
The volume of the square pyramid is given by
or
![\frac{a^3}{3} = 94.5\\a^3 = 94.5 *3\\a = \sqrt[3]{94.5*3} \\a = 6.569](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E3%7D%7B3%7D%20%20%3D%2094.5%5C%5Ca%5E3%20%3D%2094.5%20%2A3%5C%5Ca%20%3D%20%5Csqrt%5B3%5D%7B94.5%2A3%7D%20%5C%5Ca%20%3D%206.569)
centimeter
Height of the square pyramid is 6.569 centimeter
Answer:
7.8
Step-by-step explanation:
