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rodikova [14]
3 years ago
5

Thank u for answering !​

Mathematics
1 answer:
maxonik [38]3 years ago
6 0

Answer:

1. C

2. A

3. B

4. B

5. A

6. A

Step-by-step explanation:

you will answer the rest, sorry if i was rude

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h = 7 is the answer to the question
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Triangles PQR and RST are similar right triangles. ​ ​​Which proportion can be used to show that the slope of LaTeX: \overline{P
alukav5142 [94]

<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>

Answer:

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

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)

T = (2,-5)

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}

Where

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

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

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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36

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