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3 years ago

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In a particular class, there are 3 freshmen, 5 sophomores, 11 juniors, and 2 seniors. If the instructor randomly chooses a stude

nt to answer a question in class, what is the probability that the student chosen will be a freshman?

2 answers:

marishachu [46]3 years ago

8 0

1/7 can't really explain gtg bai

Monica [59]3 years ago

7 0

Freshmen/total
3/21= 1/7

1/7

Hope this helps!

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<em>Question:</em>

<em>Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of PR is equal to the slope of RT?</em>

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Step-by-step explanation:

See attachment for complete question

From the attachment, we have that:

$P = (-7,7)$

$Q = (-7,3)$

$R = (-4,3)$

$S = (-4,5)$

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First, we need to calculate the slope (m) of PQR

Here, we consider P and R

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$P(x_1,y_1) = (-7,7)$

$R(x_2,y_2) = (-4,3)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

$m = \frac{3 - 7}{-4 - (-7)}$ --------- (1)

Next, we calculate the slope (m) of RST

Here, we consider R and T

$m = \frac{y_2 - y_1}{x_2 - x_1}$

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$R(x_1,y_1) = (-4,3)$

$T (x_2,y_2)= (2,-5)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

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Next, we equate (1) and (2)

$\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}$

<em>From the list of given options (see attachment), option A answers the question</em>

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I hope i helped you! I wish you luck on the test!

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