Answer:
Step-by-step explanation:
Let the number at B be x.
We know that distance between two points on the number line is the absolute value of the difference of numbers at those points.
Then distances representing the lengths of segments AB and BC are:
We are given the ratio of segments:
Substitute and solve for x:
- (x - 9)/(13 - x) = 2/3
- 3(x - 9) = 2(13 - x)
- 3x - 27 = 26 - 2x
- 3x + 2x = 26 + 27
- 5x = 53
- x = 53/5
- x = 10.6
Given:
The measure of three sides of a triangle are 8, 7 and 14.
To find:
The measure of the angle opposite the side of length 8.
Solution:
According to the Law of Cosine:

Let a=8, b=7 and c=14, then by using Law of Cosine, we get



Taking cos inverse on both sides.



Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.