Answer:

Step-by-step explanation:
<u>Trigonometric Ratios
</u>
This problem will be solved by the use of a trigonometric ratio called sine because it relates the opposite side of a given angle with the hypotenuse of the triangle.
Selecting the angle of 60° in triangle ABD:
<em>Sine Ratio
</em>


Solving for BD:

Since


Simplifying:

Answer:

Step-by-step explanation:
The standard form of a quadratic is:

To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.
The expression given:

follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:

The b in the expression is -18.


This is the number that is added.
Answer:
7?
Step-by-step explanation:
I think...
Answer: 
Step-by-step explanation:
You know that the triangle ABC and the triangle DEF are similar.
Therefore, if the lenght of AC is 12 centimeters and the lenght of DF is 10 centimeters, then you can find the ratio as following:

Then, the calculte the length of EF, you must multiply the lenght BC of the triangle ABC by the ratio obtained above.
Therefore, the lenght EF is the following:

Answer:
Step-by-step explanation:
<u>Measure of the inscribed angle is half the arc measure:</u>
- x = m∠ABC = 1/2mAC
- x = 1/2(82°) = 41°