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2 years ago

Find the measure of the central angle below: 45°

Mathematics

1 answer:

Semenov [28]2 years ago

4 0

The central angle below is 1

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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]

Question:

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?

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)

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

From the list of given options (see attachment), option A answers the question

4 0

2 years ago

Does anyone know the answer to this?

Alex

Answer:

10.5.

Step-by-step explanation:

By similar triangles:

IJ / 21 = 8 /(8+8) = 1/2

IJ / 21 = 1/2

IJ = 1/2 * 21

= 10.5.

6 0

2 years ago

50% of what number is 32?

andriy [413]

So you know 50% means half right? So then do 32*2 and you get 64.

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2 years ago

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If the parent function is f(x) =mx+b, what is the value 9f the parameter b for the line passing through the pings (2,0) and (0,-

andrew11 [14]

Answer:

B) -4

Step-by-step explanation:

m= (0 - (-4)) / (2 - 0) = 4 / 2 = 2

f(2) = 2 * 2 + b = 0

f(0) = 2 * 0 + b = -4

b = -4

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3 years ago

Are both students earning the same amount of money per hour? Show your work to justify your answer.

krok68 [10]

Answer:

No, Jimmy is earning $5 per hour while Amanda is earning close to $6.66 per hour.

Step-by-step explanation:

Have a nice day/night :)

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2 years ago

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