Mathematics: GEOMETRY!! Use the slope to determine whether the following is a parallelogram.

GEOMETRY!! Use the slope to determine whether the

Ответ:

gloria457

19.07.2020

Yes, PQRS is parallelogram

Step-by-step explanation:

$a.\\m_{PQ}=\dfrac{y_Q-y_P}{x_Q-x_P}=\dfrac{5-6}{2-(-4)}=\dfrac{-1}{2+4}=-\dfrac16\\\\ b.\\m_{QR}=\dfrac{y_R-y_Q}{x_R-x_Q}=\dfrac{-1-5}{3-2}=\dfrac{-6}{1}=-6\\\\ c.\\m_{RS}=\dfrac{y_S-y_R}{x_S-x_R}=\dfrac{0-(-1)}{-2-3}=\dfrac{1}{-6}=-\dfrac16\\\\ d.\\m_{SP}=\dfrac{y_P-y_S}{x_P-x_S}=\dfrac{6-0}{-4-(-3)}=\dfrac{6}{-4+3}=\dfrac6{-1}=-6\\\\e.\\ m_{PQ}=m_{RS}\quad\implies\quad PQ\parallel RS\\\\ m_{QR}=m_{SP}\quad\implies\quad QR\parallel SP$

$PQ\parallel RS\quad and\quad QR\parallel SP\quad\implies\quad PQRS\ \ is\ \ parallelogram$

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Ответ:

rwlockwood1

06.05.2021

Mathematics

68.65%

Step-by-step explanation:

Given : Paula Pidcoe discovers that the average miscellaneous expense is $65.00 with a standard deviation of $18.00.

i.e. and

We assume that the miscellaneous expenses follows normal distribution.

Let x denotes the miscellaneous expenses .

Then, the probability that her expenses fall between $54.20 and $86.60 will be :

Hence, she would expect 68.65% of her expenses in this category to fall between $54.20 and $86.60 .

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GEOMETRY!! Use the slope to determine whether the following is a parallelogram.

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