Answer: 
Step-by-step explanation:
By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.
Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.
So, in this case you need to use the following Trigonometric Identity:

In this case, you can identify that:

Substituting values, and solving for "x", you get:

Therefore, the length of BC rounded to nearest tenth, is:

Answer:
The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Step-by-step explanation:
Consider the provided information.
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .
Thus, n = 12,
σ = 5000
degrees of freedom = n-1 = 12-1 = 11

Formula to find the value of z is: 
Where
is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.


Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Answer: 255
Step-by-step explanation: All you do is subtract 8,745 from 9000.
Answer:
When you have an imaginary number in the denominator multiply the numerator and the denominator by the conjugate of the denominator.
Answer:
Step-by-step explanation:
<u>Given system:</u>
In order to solve it graphically, graph both lines and find the point of their intersection.
Graphing easy if you plot the x- and y- intercepts and connect them with a line.
<em>See attached.</em>
Both lines have same x-intercept, which is also the solution: (2, 0)