Step-by-step explanation: Diagonal is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.

In other words, the diagonals of a square meet at their midpoint, which is found as the following:

(x,y) = $(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})$

The opposite vertices of the given square are (-2,6) and (1,-7).

So, the intersection is

(x,y) = $(\frac{-2+1}{2} ,\frac{6-7}{2})$

(x,y) = $(-\frac{1}{2},-\frac{1}{2} )$

The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point $(-\frac{1}{2},-\frac{1}{2} )$ .

4 0

3 years ago

Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 2

Simora [160]

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.

8 0

3 years ago

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Determine which polynomial is a perfect square trinomial.