Answer:
1
Step-by-step explanation:
Answer:
C: All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
Step-by-step explanation:
An Isosceles triangle is one that 2 of it's sides are equal and thus two of its angles are congruent which means they are equal.
Now, another Isosceles triangle may not necessarily be similar to another one because the congruent angles in one Isosceles triangle may not be the same with that of another Isosceles triangle.
Thus, correct answer is option C
Answer:
The sample required is 
Step-by-step explanation:
From the question we are told that
The standard deviation is 
The margin of error is 
Given that the confidence level is 99% then the level of significance is mathematically evaluated as
Next we will obtain the critical value 
from the normal distribution table(reference math dot armstrong dot edu) , the value is
The sample size is mathematically represented as
![n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%5E2)
substituting values
![n = [ \frac{ 2.58 * 9 }{2} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7B%202.58%20%2A%20%209%20%7D%7B2%7D%20%5D%5E2)
The interpretation of<em> </em><em>x</em> in the equation 75•x + 19•y = T, used by the geographer, based on the land area of Aruba, 75 m², and Bermuda, 19 m², is the population in a square mile of Aruba
<h3>Which method can be used to find the interpretation of <em>x </em>in the equation?</h3>
The land area of Aruba = 75 m²
Land area of Bermuda = 19 m²
The total number of residents is given in the question by the equation;
75•x + 19•y = T
Therefore;
x = The number of people in a square mile in Aruba
y = The number of people in a square mile in Bermuda
Which gives;
- The interpretation of the variable, <em>x </em>in the context is the population of Aruba per square mile.
Learn more about variables here:
brainly.com/question/11451813
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9514 1404 393
Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
_____
If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
