Answer:
The values of x that make the triangles congruent.
x = 6 and x = 3
Step-by-step explanation:
Given
Given that the triangles are congruent.
According to the SAS (Side-Side-Side)
AC = DC
AB = DB
so
AC = DC
substituting AC = 5x-2 and DC = 3x+10
5x-2 = 3x+10
5x-3x = 10+2
2x = 12
divide both sides by 2
2x/2 = 12/2
x = 6
and
AB = DB
substituting AB = 5x and DB = 4x+3
5x = 4x+3
5x-4x = 3
x = 3
Therefore, the values of x that make the triangles congruent.
x = 6 and x = 3
The actual length :
26.8 * 0.5 = 13.4 meters
The actual width :
12.2 * 0.5 = 6.1 meters
The actual area of the court:
13.4 * 6.1 = 81.74 meters square
Hope that helps you
Answer:
11.25
Step-by-step explanation:
20% is 1/5 so decide by 5
Step-by-step explanation:
sin²x = 2 - 2cosx
1 - cos²x = 2 - 2cosx (because sin²x + cos²x = 1)
cos²x - 2cosx + 1 = 0
(cosx - 1)² = 0
cosx - 1 = 0
cosx = 1
Hence x = 0.