Answer: Because Point A is negative and the same distance below 0 on the number line as Point B is above it, Point B is both positive and the opposite of Point A.
The first thing we do in a problem like this is let arc AB equal X. X is the magic letter, anything you need to find name it x. We also know that all arcs in a circle must add up to 360, so arc ALB is equal to 360 - x.
There's this theorem saying that when two tangents intersect from a point outside a triangle, the measure of the angle formed by the intersection of the tangents (angle P) is equal to the half the difference of the arcs.
This basically means:
angle P = 1/2(360 - x) - x.
plug in the value of angle P
84 = 1/2(360 - x - x)
168=360 - 2x
2x = 192
x = 96
arc AB=96
Answer:
<em>30</em>
Step-by-step explanation:
Given that
Logan shelves 5 books and
Nathan shelves 6 books
They end shelving the same number of books.
To find:
Smallest number of books each could have shelved?
Solution:
First of all, let us have a look at the definition of <em>Least Common Multiple(LCM)</em> of two numbers.
Least Common Multiple (LCM) of two numbers is the minimum number which is divisible by both the numbers.
Now, looking at the statement of the given question.
We have to find the LCM of both the numbers actually.
Making factors of the numbers:
Nothing is common here, therefore the LCM is .
Smallest number of books shelved = <em>30</em>
Step-by-step explanation:
By Pythagoras' Theorem, we have
Hypotenuse = √[(13.9)² + (10.2)²] = 17.2. (B)