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Mariulka [41]
2 years ago
14

A triangle has angle measures 23 degreea and 35 degrees. What is the measure of the third angle?

Mathematics
2 answers:
Gelneren [198K]2 years ago
6 0

Answer:

missing angle = 122°

Step-by-step explanation:

the total interior angle of a triangle is always 180°

so here two sides given, missing angle can be x.

x+ 35 + 23 = 180°

x = 180° - 35° - 23°

x = 122°

Simora [160]2 years ago
3 0

Answer:

122 degrees

Step-by-step explanation:

All the angles of a triangle have to add up to 180 degrees, and 180-35-23=122 degrees

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Ivahew [28]

Answer:

-7

Step-by-step explanation:

y−x=9 ⇒ y=x+9

10+2x=−2y

5+x= -y  ====== replacing y with x+9

5+x= -x-9

2x= -14

x= -7

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3 years ago
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During off hours, cars arrive at a tollbooth on the East-West toll road at an average rate of 0.5 cars per minute. The arrivals
Norma-Jean [14]

Answer:

P(X=3) = 2.5^3 \frac{e^{-2.5}}{3!}=0.214

Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

P(X=x) =\lambda^x \frac{e^{-\lambda}}{x!}

And the parameter \lambda represent the average ocurrence rate per unit of time

For this case we know that \lambda =0.5 cars/min

And we want the probability that during the next five minutes, three cars will arrive, so then our rate becomes:

\lambda = 0.5 \frac{cars}{min}* 5 min = 2.5 cars

And we want this probability:

P(X=3)

And if we use the pmf we got:

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6 0
4 years ago
If a car is traveling at 64 mph how many miles will it travel in 6 hours
kozerog [31]

Answer:

384

Step-by-step explanation:

64*6=384

Hope it helped!

6 0
3 years ago
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wariber [46]

Answer:

Step-by-step explanation:

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Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

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m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\  y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}

2) (3 , -4) ; m= 3

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y - [-4] = 3(x - 3)

y + 4 = 3x - 3*3

y + 4 = 3x  - 9

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Ans: y = 3x - 13

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y - 3 = 1(x -[-1])

y - 3 = 1(x + 1)

y - 3 = x + 1

    y = x + 1 + 3

  Ans: y = x + 4

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y - 1 = (-3)(x - 2)

y - 1 = -3x + 6

   y = -3x + 6 +1

Ans: y = -3x + 7

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Answer:

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