The answer to the question is 5 -5
We must find UNIQUE combinations because choosing a,b,c,d... is the same as d,c,b,a...etc. For this type of problem you use the "n choose k" formula...
n!/(k!(n-k)!), n=total number of choices available, k=number of choices made..
In this case:
20!/(10!(20-10)!)
20!/(10!*10!)
184756
<h3>
Answer: There is only one answer and it is choice B</h3><h3>Angle 1 and angle 4 are alternate interior angles</h3>
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Explanation
- A. This is false because it should be angle 4 + angle 5 = 180 without the angle 6. Adding on angle 6 results in some angle larger than 180. Note how angle 5 = (angle 3)+(angle 6).
- B. This is true and useful to showing that the three angles of a triangle add to 180 degrees. This is because you'll use the fact that angles 4, 5 and 6 combine to 180 degrees.
- C. While this is a true statement by the exterior angle theorem, it is not useful to the proof. It is better to state that angle 2 and angle 6 are congruent because they are alternate interior angles.
- D. Like choice C, it is true but not useful. It's better to say that angle 1 is congruent to angle 4. See choice B above.
Note how it's not enough for a statement to be true. It also needs to be relevant or useful to the context at hand. A more simpler example of this could be stating that x+x = 2x.
I'm not quite sure what you asking here but if your asking how to answer it in "math terms" than I'll be happy to explain :)
So "times" means multiply and "increase" means add so righting this in math terms would be
6x + 5
because it's six times "a number" which you can replace with x!
Let me know if you have any questions :3
Answer:
Step-by-step explanation:
The formula for the length of an arc is s = rФ.
Thus, the arc length of a semicircle is S = rФ/2.
Here the radius is 5 (half the diameter), and so in this case the arc length is
S = (5 units)π/2, or S = (5/2)(3.14) units, or approximately S = 7.85 units
