The triangle NET is an <em>isosceles</em> triangle as <u>ET</u> ≅ <u>TN</u> and ET = TN < EN given the condition that BEST is a <em>cyclic</em> quadrilateral.
<h3>How to determine the existence of an isosceles triangle</h3>
In this question we must apply <em>geometric</em> properties of angles and triangles to determine that the triangle NET is an <em>isosceles</em> triangle. <em>Isosceles</em> triangles are triangles with two sides of equal length. In addition, we must apply the geometric concept of proportionality.
Now we proceed to prove the existence of the isosceles triangle:
- <u>BE</u> ≅ <u>SN</u> Given
- ET is the bisector of ∠BES Given
- ET/ES = ET/EB Definition of proportionality
- ES = EB (3)
- <u>ES</u> ≅ <u>EB</u> Definition of congruence
- <u>ET</u> ≅ <u>TN</u> SSS Theorem/Result
Therefore, the triangle NET is an <em>isosceles</em> triangle as <u>ET</u> ≅ <u>TN</u> and ET = TN < EN given the condition that BEST is a <em>cyclic</em> quadrilateral. 
To learn more on isosceles triangles, we kindly invite to check this verified question: brainly.com/question/2456591
Answer:
241 clients
Step-by-step explanation:
His problem can be solved using the principle of proportionality or rule three.
We can take advantage of the proportion between respondents who tell us the number of respondents and how many expect to go on vacation and the total number of workers, therefore:
Respondents /// Whole company
Vacations 21 x
Total 45 516
then x equals:
x = (516 * 21) / (45)
x = 240.8
x = 241 clients
This means that approximately 241 clients expect to go on vacation throughout the company.
Answer:
125
Step-by-step explanation:
We're looking for a number that we can multiply three of the same number to get. For example, 25 is a perfect square, because 5*5 = 25.
You can test these all on your calculator, if you're allowed! Just take the third root of all of them, and if it's a whole number, you know you have a perfect cube.
The answer, though, is 125, because 5*5*5 = 125.
2/5, five different areas and two are black
B is the answer to your problem