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o-na [289]
2 years ago
14

In triangle PQR, m∠P = 30°, m∠Q = 90°, and m∠R = 60°. If the triangle is rotated 90° clockwise about a point, what is the measur

e of the image of ∠P?
Mathematics
1 answer:
bixtya [17]2 years ago
8 0

m<P=60°

Refer to the attachments

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navik [9.2K]
1/7 + x = 2/3x
1/7 = 2/3x-x
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Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through
stiks02 [169]

Answer:

x + 2y= 2

Step-by-step explanation:

Given

Points:

F = (4,9)

G = (1,3)

Required

Determine the equation of line that is perpendicular to the given points and that pass through (2,0)

First, we need to determine the slope, m of FG

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

Where

F = (4,9) --- (x_1,y_1)

G = (1,3) --- (x_2,y_2)

m = \frac{3 - 9}{1 - 4}

m = \frac{- 6}{- 3}

m =2

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

m_2 = -\frac{1}{m}

m_2 = -\frac{1}{2}

The equation of the line is then calculated as:

y - y_1 = m_2(x - x_1)

Where

m_2 = -\frac{1}{2}

(x_1,y_1) = (2,0)

y - 0 = -\frac{1}{2}(x - 2)

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

y  = -\frac{1}{2}x + 1

Multiply through by 2

2y = -x + 2

Add x to both sides

x + 2y= -x +x+ 2

x + 2y= 2

Hence, the line of the equation is x + 2y= 2

8 0
3 years ago
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vfiekz [6]

Answer:

65 feet below sea level.

Step-by-step explanation:

With the information provided, we can create the following equation for the position of the sea lion (p)

p = 3x - 10

In this equation, x would be the final position of the seal when it caught the fish. Since we are told that the seal's position is 25 feet below sea level then we can plug in this value as x and solve for p...

p = (3 * 25) - 10

p = 75 - 10

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Finally, we can see that the sea lion's position is 65 feet below sea level.

7 0
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Develop a probability model for the spinner shown.<br> Will give brainliest!
krok68 [10]

Answer:

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Tom [10]

Answer:

Speed = 21.43m/s

Step-by-step explanation:

Given

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Speed = \frac{1200m}{56s}

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