Answer:
The correct options are (1), (3) and (5).
Step-by-step explanation:
The two triangles are shown below.
The measure of ∠F corresponds to ∠F'.
The distance between the points D and origin is of 9 units.
And the distance between the points D' and origin is 3 units.
Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.
Check for similarity:

Thus, the △DEF is similar to △D'E'F'.
Thus, the correct options are (1), (3) and (5).
In order to figure this out you need to use
Descartes Rule. I attached a picture showing Descartes Rule. If the signs changes for when x is positive then the number of times it changes are the possible positive solution. If the sign changes when x is negative then the number of times it changes are the possible negative solutions. With that said the answer is A. View the picture I have attached for the possible + - and imaginary solutions.
Answer = A) One possible positive solution.
Answer:
The answer is

Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To write an equation of a line given a point and slope we have
y - y1 = m( x - x1)
where (x1 , y1 ) is the point and m is the slope
Equation of the line using point P(3 , 5) and m = 2/3 is



We have the final answer as

Hope this helps you