Step-by-step explanation:
"congruent" for lines simply means they are equally long.
15. yes. AB = EF = 3
16. yes. BD = DF = 8
17. no. AC = 5, CD = 6
18. yes. AC = DE = 5
19. no. BE = 13, CF = 14
20. no. CD = 6, DF = 8
The will intersect at a point with a positive x coordinate.
We can tell this because they actually already have a shared space on the graph. If you plot the 3 points of g(x) given, you'll see that f(x) and g(x) both share the coordinate (1, 3). As a result, we know that they do intersect and it is where x (1) is a positive number.
Answer:
Okay
Step-by-step explanation:
Given:
To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are
On comparing these equations with (i), we get
Angle between two lines whose slopes are 
is
Putting and , we get
Now,
and 
and 
and 
, so it is an obtuse angle and 
, so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
