Answer:
a. segment DE and segment EF are congruent to each other but not to segment DF, and their slopes are not related.
Step-by-step explanation:
In order for a triangle to be isosceles, two of the line segments must be congruent. (eliminates choices C and D)
If the slopes of the congruent segments are negative reciprocals of each other, the triangle is a right triangle, not an acute triangle. (eliminates choice B)
With choices B, C, D eliminated, we are left with choice A.
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However, <em>that necessary description is not sufficient</em> to constrain the triangle to be an acute triangle. In order for the triangle to be acute, the third side must be less than √2 times the length of either of the congruent sides.
The correct answer is "none of the above."
For the answer to the question above,
My answer in which <span>equation represents the boundary for the region where the station can be heard</span> would be multiple choice letter <span>D. (x + 6)^2 + (y + 1)^2 = 16
I hope my answer helped you solve your problem, Have a nice day!</span>
2x + 2y must equal 24. 24 - 2x = 2y and 24 - 2y = 2x. Therefore, 12 - y = x. x could be able to add with y to get 12.
example: x = 4, y = 8. (4 + 4 + 8 + 8 = 16 + 8 = 24)
x = 9, y = 3. (9 + 9 + 3 + 3 = 24)
x = 5, y = 7. (5 + 5 + 7 + 7 = 24)
Answer:
We estimate to have 8.33 times the number 6 in 50 trials.
Step-by-step explanation:
Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.
We will estimate the number of times that she spins a 6 as the expected value of this random variable.
Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.
Then , in this case, with n=50 and p=1/6 we expect to have 
number of times of having a 6, which is 8.33.
The simplified answer of 6/9 is 2/3.
