Answer:
Step-by-step explanation:
Notice that all three sides of the given triangle has one tick mark.
This means that all three sides are congruent, meaning that we have an equilateral triangle.
And for equilateral triangles, all three angles are also congruent.
So:
Also, recall that the interior angles of a triangle is always 180. Thus:
Substitute:
Combine like terms:
Substitute:
Multiply:
Thus:
And we are done!
Answer:
Step-by-step explanation:
I think it may look like this?
Answer:
The points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).
Step-by-step explanation:
The equation of the line passing through two points and
is
So, the equation of the line passing through two points (0,5) and ( 2, 8 ) is
For the point (4,11), pout x=4 in equation (i), we have
, which is given y coordinate, hence this point (4,11) lies on the line.
For the point (5,10), pout x=5 in equation (i), we have
which is not the given y coordinate, hence the point (5,10) doesn't lie on the line.
For the point (6,14), pout x=6 in equation (i), we have
, which is the given y coordinate, hence the point (6,14) lies on the line.
For the point (30,50), pout x=30 in equation (i), we have
, which is the given y coordinate, hence the point (30,50) lies on the line.
For the point (40,60), pout x=40 in equation (i), we have
, which is not the given y coordinate, hence the point (40,60) doesn't lie on the line.
Hence, the points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).