Answer:
u should put the question in English to so English people can also help 
 
        
             
        
        
        
Answer:
D)	Only (-1,9) is a solution.
Step-by-step explanation:
x+y =8
x^2 + y = 10
Lets check the first point (-1,9)
Put in x =-1 y =9
x+y =8
-1+9 = 8
8 =8
This works
x^2 + y = 10
(-1)^2 +9 =10
1+9 = 10
10 = 10
This works
Lets check the second point (-2,6)
Put in x =-2 y =6
x+y =8
-2+6 = 8
4=8
This  does not work
We can stop now.  (-2,6) cannot be a solution
 
        
             
        
        
        
Answer:
yes, triangle DEF is similar to triangle DBC, BC corresponds to EF, and angle DCB corresponds to angle F.
Step-by-step explanation:
Part A: Angle D is congruent to angle D by the reflexive property. Since line BC is parallel to line EF then angle DCB = angle DFE by corresponding angles.  Hence triangle DEF is similar to triangle DBS by the AA Similarity Postulate.
Part B: BC corresponds to EF because they are in the same order and the triangles listed DEF and DBC
Part C: Angle DCB corresponds to angle F since they are corresponding angles with the two given parallel lines BC and EF.
 
        
             
        
        
        
Answer:
A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.
Step-by-step explanation:
The geometrical representation of the statement is summarized in the figure below attached. The length of the line is represented by hypotenuse of the right triangle, whose value is calculated by the help of trigonometrical relations:
 (1)
 (1)
Where:
 - Angle formed between the zip line and the tower, measured in sexagesimal degrees.
 - Angle formed between the zip line and the tower, measured in sexagesimal degrees.
 - Vertical distance between the tower and the platform, measured in meters.
 - Vertical distance between the tower and the platform, measured in meters.
 - Length of the zip line, measured in meters.
 - Length of the zip line, measured in meters. 
If we know that  and
 and  , then the length of the zip line is:
, then the length of the zip line is:



A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.