Answer: A)There are 5 nonfiction books for every 9 fiction books in the library.
Step-by-step explanation: If you do the math you realize that there are clearly less nonfiction books than fiction books.
105/5=21 and after 21*9 lines up and to check your work than
5*21=105 and 9*21=189 it is not B because the smaller number 105 is in front of the ratio 105:189 and 5:9
-2x-2 is your equation :) <span />
The picture is difficult to read, but it looks like
∠ADB = 2x²
∠ACB = 10x
These two angles have equal measure, so you have
2x² = 10x
2x(x -5) = 0 . . . . . subtract 10x and factor
x = 0, or x = 5
The measure of arc AB is twice the measure of either inscribed angle, so would be
arc AB = 2×10x
= 2×10×5
= 100 . . . . . degrees
Arc AB is 100°.
Answer:
x = 75°
Step-by-step explanation:
Sum of the interior angles of a triangle = 180°
Therefore,
78° + 27° + x° = 180°
Add like terms
105 + x = 180
105 + x - 105 = 180 - 105 (substraction property of equality)
x = 75°
