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
A square can be both a rectangle and a rhombus
Subtract 7 from both sides
x^2 - 6x - 7 = 7 - 7
Simplify
x^2 - 6x - 7 = 0
Answer :
The final solutions to the quadratic equation are:
x = 7, -1
Answer:
507.60
Step-by-step explanation:
42.30 X 12 = 507.60
Answer:
Recall that probability is given as; the number of required outcome over the number of total possible outcome.
The probability that a transmitter receives the signal being sent by itself is given as 
.
when there are n transmitters, the probability will be given as 
Step-by-step explanation:
Probability simply the likelihood of an event occurring or not occurring.
Probability therefore is given as; the number of required outcome over number of possible outcome.
In the case of the first part above we have the number of required outcome to be at least one divided by the number of possible outcome which is 3.
while in the second part we have the number o possible outcome to be n.
