Answer: None
Step-by-step explanation:
In the given picture , there are two triangles and their corresponding angles are equal.
So by AAA similarity criteria they are similar. But there is no other information is given to prove that they are congruent.
[∵ we know that congruent are similar but similar triangles may not be congruent.]
Therefore, there is no sufficient information to prove them congruent by using any given postulate.
Hence, the answer is "None".
Answer:
She should go with service 2 because it is, cheaper. Service 1 cost $107.52, but service 2 cost only $105.
Step-by-step explanation:
Cost now+increase$=new cost
(Part=percent*whole)
Increase=percent increase*cost now
i=12%*$96
i=0.12*96=$11.52
$96+11.52=107.52
Service two⬇️
8.72*12=$105
Answer:
Step-by-step explanation:
y + 2 = 12(x - 3)
y + 2 = 12x - 36
y =12x - 38
Answer:
The number of houses built in Town B is 56.
Step-by-step explanation:
We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.
Also, 70 houses were built in Town A during 210.
Let the number of houses built in Town B be 'x'.
So, according to the question;
Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B
x = 56
Hence, the number of houses built in Town B is 56.
Answer:
P(A∣D) = 0.667
Step-by-step explanation:
We are given;
P(A) = 3P(B)
P(D|A) = 0.03
P(D|B) = 0.045
Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.
Using Bayes' Rule and Law of Total Probability, we will get;
P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]
Plugging in the relevant values, we have;
P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]
P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]
P(B) will cancel out to give;
P(A∣D) = 0.09/0.135
P(A∣D) = 0.667
