First, 
, and if we multiply 
by 
we get
Subtracting this from the numerator gives a remainder of
Next, 
, and if we multiply by 
we have
and subtracting this from the previous remainder, we end up with a new remainder of
Next, 
, and if we multiply by 
we get
Subtracting from the previous remainder, we get a new remainder of
which contains no more factors of 
, so we're done.
So,
Answer:
Step-by-step explanation:
- DC = AC = x is the radius
<u>Using the Pythagorean theorem, find x:</u>
- (x + 9)² - x² = 15²
- x² + 18x + 81 - x² = 225
- 18x = 225 - 81
- 18x = 144
- x = 144/18
- x = 8
Answer:
19. C
20. D
21. B
22. A
Step-by-step explanation:
If an angle is subtended from an arc and it goes to the opposite end of the circle, the angle is HALF of the measure of the arc. If it goes to the center, it is SAME measure as arc.
19.
Arc BC is DOUBLE of Angle BAC, so
78 * 2 = 156
Answer is C
20.
Arc BEC is DOUBLE of Angle BAC, so
114 * 2 = 228
Answer is D
21.
Angle ABC is HALF of Arc AC, so
Angle ABC = 110/2 = 55
Answer is B
22.
Angle ABC is HALF of Arc AC, so
Angle ABC = 218/2 = 109
Answer is A
Answer:
The Sum of the areas of theses triangles is 169/3.
Step-by-step explanation:
Consider the provided information.
The hypotenuse of an isosceles right triangle is 13 inches.
Therefore,
Then the area of isosceles right triangle will be: 
Therefore the area is: 
It is given that sum of the area of these triangles if this process is continued infinitely.
We can find the sum of the area using infinite geometric series formula.
Substitute 
in above formula.
Hence, the Sum of the areas of theses triangles is 169/3.
