Which pairs of angles in the figure below are vertical angles?

Someone help me fast please

lions [1.4K]

Answer:

86

Step-by-step explanation:

Perimeter of WXY = WSY+WRX+XY

--> WSY = SY x 2

--> WSY = 16 x 2 = 32

Since it is an isosceles triangle, WRX = WSY

--> WRX = 32

--> Draw a straight line from W to XY to divide it into two halves assuming it to be point A. This would form a right angle triangle of WAX.

--> Solve it using the cos theta rule

--> Angle = Angle X = 70°

Hypotenuse = WRX = 32

Adjacent = WA = ?

--> Cos (Angle) = Adjacent/Hypotenuse

Cos (70) = WA/32

WA = 10.9 rounded off to 11

--> WA=AY= 11

--> XY = WA + AY = 11+11 = 22

--> Perimeter = WSY+WRX+XY

Perimeter = 32+32+22

Perimeter = 86

Therefore, the perimeter of WXY is 86.

4 0

2 years ago

Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul

IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: $P(k) = \frac{\lambda^ke^{-k}}{k!}$ where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and $\lambda = 7$ into the formula:

$P(k=7) = \frac{7^7e^{-7}}{7!}$

$P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%$

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

$P(k\leq2) = P(k=0)+P(k=1)+P(k=2)$

$P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}$

$P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}$

$P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%$

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

$P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%$

4 0

2 years ago

Tim currently makes $13.26 an hr. plus gets paid 10 days of vacation. How many days/or hours would he have to work in order to b

Marrrta [24]

I would divide the 18000 by 13.26 to get the number of hours needed.
18000/13.26~169.7 days with 8 hour shifts.

7 0

3 years ago

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In an algebraic expression, terms are separated by ___________________?

xenn [34]

It has to be C- addition and subtraction signs.

3 0

2 years ago

Factor 8c + 10c?. ✅p

Rashid [163]

Answer: 18 c

Step-by-step explanation: since they have the same variables you can easily just add them together

7 0

3 years ago

Read 2 more answers