Answer:
ΔABC ~ ΔDEC
Step-by-step explanation:
Given : DE║AB
Statements Reasons
1). DE║AB 1). Given
2). ∠CDE ≅ ∠CAB 2). Corresponding angles
[Since DE║AB and AC is the transverse]
3). ∠CED ≅ ∠CBA 3). Corresponding angles
[Since DE║AB and BC is the transverse]
4). ΔABC ~ ΔDEC 4). By AA property of similarity
Hence ΔABC is similar to ΔDEC.
Answer:
The numbers are 10 and 5
Step-by-step explanation:
x+y=15
(1/x)+(1/y)=(3/10)
(1/(15-y))+(1/y)=(3/10)
x=10, y=5
247.62 x 0.15 = 37.143
round to $37.14
I hope that helped :)
Answer:
3 customers
Step-by-step explanation:
Rate of arrival (λ) = 15 per hour
Service rate (μ) = 20 per hour
The number of customers in a system given the arrival rate and the mean service rate is given by:
![N = \frac{\lambda}{\mu-\lambda}\\](https://tex.z-dn.net/?f=N%20%3D%20%5Cfrac%7B%5Clambda%7D%7B%5Cmu-%5Clambda%7D%5C%5C)
Applying the given data:
![N = \frac{15}{20-5}\\N=3\ customers](https://tex.z-dn.net/?f=N%20%3D%20%5Cfrac%7B15%7D%7B20-5%7D%5C%5CN%3D3%5C%20customers)
The average number of customers in the system is 3 customers.