Triangle LMN has two sides that are of the same size, therefore, triangle LMN is described as: isosceles triangle.
<h3>What is an Isosceles Triangle?</h3>
A triangle with two equal sides and two equal base angles is described as an isosceles triangle.
<h3>What is the Distance Formula?</h3>
The formula for finding the distance between two coordinate points is called the distance formula, and it is expressed as: 
.
Given the vertices of the angles of triangle LMN as:
- L(-2, 4),
- M(3, 2),
- N(1,-3)
Use the distance formula to find the length of each side of the triangle.
LM = √[(3−(−2))² + (2−4)²]
LM = √[(5)² + (−2)²]
LM = √29 units
MN = √[(3−1)² + (2−(−3))]²
MN = √29 units
LN = √[(−2−1)² + (4−(−3))²]
LN = √(−3)² + (7)²]
LN = √(9 + 49)
LN = √58 units
Isosceles triangles have two equal sides. Triangle LMN has two sides that are of the same size, therefore, triangle LMN is described as: isosceles triangle.
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Answer:
(130.08, 139.92)
Step-by-step explanation:
Given that:
Mean (m) = 135
Standard deviation (σ) = 30
Sample size (n) = 100
α = 90%
The confidence interval value is obtained using the relation:
Mean ± Zcritical * (standard deviation / sqrt(n))
Zcritical at 90% = 1.64
standard deviation / sqrt(n) = 30 / sqrt(100)
= 30 / 10 = 3
Hence,
135 ± 1.64 * (3)
Lower limit : 135 - (1.64 * 3) = 130.08
Upper limit : 135 + (1.64 * 3) = 139.92
Hence,
Confidence interval = (130.08, 139.92)
450 is your answer ......
The intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of an a standard earthquake .
<h3>
What is magnitude of earthquake
?</h3>
Magnitude of earthquake is the measure of the size of origin of the earthquake. The magnitude of the earthquake keeps the same value for each place.
An earthquake with a magnitude of about 2. 0 or less is called a micro-earthquake and not felt usually.The intensity of an earthquake with a magnitude of 2.
Let the intensity of this earthquake is <em>n </em>times greater than the intensity of an a standard earthquake. Thus the intensity of standard earthquake can be given as,
If the magnitude would be 3 then the intensity would be,
It would be 1000 times greater than the standard earthquake and so on.
Thus, the intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of an a standard earthquake .
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