Answer:
Step-by-step explanation:
1) ABCD is a trapezium. AB ║ CD
∠ADC + ∠DAB = 180° { Co interior angles}
110° + ∠DAB = 180
∠DAB = 180 -110
∠DAB = 70°
2) Sum of all angles of trapezium = 360°
∠A + ∠B + ∠DCB + ∠D = 360
70° + 50° + ∠DCB + 110° = 360
230 + ∠DCB = 360
∠DCB = 360 - 230
∠DCB = 130°
3) For finding the height, use Pythagorean theorem
height² + base² = hypotenuse²
height² + 6² = 10²
height² + 36 =100
height² = 100 - 36
height² = 64
height = √64
height = 8 m
4) a = AB = x m
b = 9 m
h = height = 8 m
Area of trapezium = 120 m²
= 120

x + 9 = 120/4
x + 9 = 30
x = 30 - 9
x = 21 m
AB = 21m
The possible values for | x-y | > 0 is any number above 0. x must be greater than y. When | x-y | = 0, That means that x and y are equal to each other. | x-y | can not be less than 0, but it can equal 0.
Hope that this helped!
Answer:
The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )
I.e option D
Step-by-step explanation:
Given equation as :
x² - 8 x + 41 = 0
For quadratic equation ax² + b x + c = 0
The value of x =
∴ For equation x² - 8 x + 41 = 0
Or, x =
Or, x = 
Or, x = 
∴ x = ( 4 + 2 i ) , ( 4 - 2 i )
Hence The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )
I.e option D Answer
D.
1/5 of 65 is
65 × 1 / 5
65 / 5
= 13
65 and 13 add up to 78.
65 is the highest number out of both numbers.
♧
This ODE is separable; we have

Integrating both sides gives a general solution of

B is the only choice that is applicable.