Answer:
The value of x is 3
Step-by-step explanation:
∵ Quadrilateral ABCD is congruent to quadrilateral JKLM
∴ AB = JK and BC = KL
∴ CD = LM and AD = JM
∵ BC = 8x + 7
∵ KL = 31
∵ BC = KL
→ Equate their right sides
∴ 8x + 7 = 31
→ Subtract 7 from both sides
∵ 8x + 7 - 7 = 31 - 7
∴ 8x = 24
→ Divide both sides by 8 to find x
∴
= 
∴ x = 3
∴ The value of x is 3
Answer:
This company loses about 12 employees a year
Step-by-step explanation:
Answer:
The value of k with given points and slop = 11
Step-by-step explanation:
Given that a line passes through two points having slop (m) = 2
co ordinates of points are (1 , 3) and (5 , k)
Now slop of line can be written as,
Slop = 
Or, m = 
2 = 
Or, 2 = 
So , k - 3 = 8
∴ K = 8+3 = 11
Hence the value of k with given points and slop = 11 Answer
Your answer is 13.8 or 14
A^2 + B^2 = C^2
7^2 + 12^2 =C^2
49 + 144 = 193
193=13.8 (Square root 193)
C^2 is 13.8 or 14
Let x be he length of middle piece.
3x = length of longer piece.
x-5 = length of shortest piece.
x + 3x + x-5 = 40
5x - 5 = 40
5x = 45
x = 45/5
x = 9. ( Size of middle piece )
Given that the longer piece is 3 times the size of middle piece,
Longest piece = 3 x 9 = 27.
Size of longest piece = 27 feet
Size of middle piece = 9 feet
Size of smaller piece = 40 - (27+9)
= 40 - 36
= 4 feet.
Thank you.