Answer:
8 blue chips and 12 red
Step-by-step explanation:
Answer:
1) A line can be defined by two points that are connected by the given line.
We can see that the line r connects the points A and B, then we can call this line as:
AB (the notation usually uses a double arrow in top of the letters)
2) In the image we can see that lines r and s intersect at the point B, then another name for that intersection is: B.
3) 3 colinear points are 3 points that are connected by a single line, an example of this can be the points A, B and C.
4) A plane can be defined by a line and a point outside the line.
For example, we can choose the line AB and the point D, that does not belong to the line.
Then we can call the plane as ABD.
The answer is Division property of equality. This is because at Step 3, you have to divide to get your final answer. It cannot be the other ones because you do not subtract or distribute in step 3.
Answer:
![b = 2.7](https://tex.z-dn.net/?f=%20b%20%3D%202.7%20)
Step-by-step explanation:
Given:
< C = 53°
< B = 80°
a = 2
Required:
Find b
Solution:
The question given suggests we are given measures for a ∆.
To find side b, which corresponds to angle B, first, we'd find angle A, which corresponds to side a, then apply the Law of sines to find side b.
=> A = 180 - (53 + 80) = 47°
Law of Sines: ![\frac{a}{sin(A} = \frac{b}{sin(B}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7Bsin%28A%7D%20%3D%20%5Cfrac%7Bb%7D%7Bsin%28B%7D%20)
Plug in the values into the formula
![\frac{2}{sin(47} = \frac{b}{sin(80}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7Bsin%2847%7D%20%3D%20%5Cfrac%7Bb%7D%7Bsin%2880%7D%20)
Cross multiply
![2*sin(80) = b*sin(47)](https://tex.z-dn.net/?f=%202%2Asin%2880%29%20%3D%20b%2Asin%2847%29%20)
Divide both sides by sin(47) to make b the subject of formula
![\frac{2*sin(80)}{sin(47} = b](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%2Asin%2880%29%7D%7Bsin%2847%7D%20%3D%20b%20)
![2.69 = b](https://tex.z-dn.net/?f=%202.69%20%3D%20b%20)
(nearest tenth)
<span>denominator is </span>number below the line in a common fraction.
Here's picture to show what is a denominator: