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jek_recluse [69]
3 years ago
9

The probability that Stephanie wins in the next match is 0.85

Mathematics
1 answer:
yuradex [85]3 years ago
7 0

okwellimdoingthisforpointsosryr

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Identify the coordinates of the vertices of each figure after the similarity transformation.
bija089 [108]

Answer:

After translation:

Translation: (x, y)  →  (x-6, y-8)

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

After dilation:

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

Step-by-step explanation:

Given the vertices of the Quadrilateral WXYZ

  • W(-4, 8)
  • X(-4, 0)
  • Y(-12, 4)
  • Z(-8, 16)

As the rule of translation is given by

Translation: (x, y)  →  (x-6, y-8)

So, after the translation the vertices of Quadrilateral WXYZ will be translated as:

W(-4, 8)  →  (x-6, y-8) ⇒ (-4-6, 8-8) = W'(-10, 0)

X(-4, 0)  →  (x-6, y-8) ⇒ (-4-6, 0-8) = X'(-10, -8)

Y(-12, 4)  →  (x-6, y-8) ⇒ (-12-6, 4-8) = Y'(-18, -4)

Z(-8, 16)  →  (x-6, y-8) ⇒ (-8-6, 16-8) = Z'(-14, 8)

Therefore,

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

Next, the rule of dilation is given by

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W'(-10, 0)  →  (2x, 2y) ⇒ (2(-10), 2(0)) = W'' (-20, 0)  

X'(-4, 0)  →  (2x, 2y) ⇒ (2(-4), 2(0)) = X'' (-8, 0)

Y'(-12, 4)  →  (2x, 2y) ⇒ (2(-12), 2(4)) = Y'' (-24, 8)

Z'(-8, 16)  →  (2x, 2y) ⇒ (2(-8), 2(16)) = Z'' (-16, 32)

Therefore,

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

8 0
2 years ago
An airplane flying with the wind can cover a certain distance in 2 hours. The return trip against the wind takes 2.5 hours. Find
Anna [14]

Answer:

Wind speed = 30 mph

Plane speed = 270 mph

Step-by-step explanation:

Given that :

Distance = 600 miles

Let speed of airplane = a ; speed of wind = b

Net speed ; with wind = a + b

Net speed against wind = a - b

Time taken with wind = 2 hours

Time taken against wind = 2.5 hours

Recall :

Speed = distance / time ; distance = speed * time

(a + b) * 2 = (a - b) * 2.5

2a + 2b = 600

a + b = 300 - - - (1)

a = 300 - b

2.5a - 2.5b = 600

a - b = 240 - - - (2)

300 - b - b = 240

300 - 2b = 240

-2b = - 60

b = 30

a = 300 - 30

a = 270

Wind speed = 30 mph

Plane speed = 270 mph

4 0
2 years ago
What are m and b in the linear equation y=16+6x
mr Goodwill [35]

Answer: B=16 and m=6

Step-by-step explanation:

in y=mx+b the number next to x is always the m/slope and the number without a variable is always the b.

4 0
1 year ago
Stefans bikes renta bikes for $20 plus $7 per hour. shawna paid $69 to rent a bike. for how many hours did she rent the bike? ​
Katarina [22]

Answer:

7 hours

Step-by-step explanation:

First you subtract 20 from 69, as the starting fee. That leaves you with 49. 49/7 = 7 hours

4 0
3 years ago
Read 2 more answers
Sam is driving on I-90 West for 1.5 hours at a speed of 70 miles per hour. How far did he travel?
pickupchik [31]

Answer:

  105 miles

Step-by-step explanation:

The relationship between speed, time, and distance is ...

  distance = speed × time

For the given conditions, the distance is ...

  distance = (70 mi/h)×(1.5 h) = 105 mi

Sam traveled 105 miles.

8 0
2 years ago
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