Answer:
See below
Step-by-step explanation:
Three lengths will be a triangle only if the sum of two sides is greater than the third side.

This is a triangle.

This is not a triangle.

This is not a triangle.

This is a triangle.
Answer:
The numbers are 12 and 3.
Step-by-step explanation:
We can solve this problem by working with the information we have and setting up some equations.
We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.
Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.
Let's solve that equation like so:

So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.
Answer:
2.16 * (10^-5).
Step-by-step explanation:
5 = -log H+
5 = log (1 / H+)
1/ H+ = 10^5
H+ = 10^-5
In a similar fashion the other brand has H+ of 10^-4.5.
So the difference in hydrogen ion concentration = 10^(-4.5) - 10^(-5)
= 2.16 * (10^-5).
Answer:
D)We are 95% confident that the proportion of adults (ages 17‐26) who attended college during the past 4 years and say that alcohol and drug use at their school is a big problem is between 53% and 59%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% confidence interval is (0.53, 0.59).
This means that we are 95% sure that the true proportion for the population of adults who attended college who say that alcohol is a big problem is between 0.53 and 0.59. This means that the answer is given by option D.
Answer:
180 degrees
Step-by-step explanation:
Two angles are supplementary when they add up to 180 degrees. Therefore, the sum of Angle L and M's measures is equal to 180°.