Answer:
A) LM || NO
Step-by-step explanation:
In a trapezoid one pair of opposite sides is always parallel.
Here, in the given figure, LM is parallel to NO
A) LM || NO is the correct answer.
Answer:
The probability is 0.0192 to four decimal places.
Step-by-step explanation:
In this question, we are asked to calculate the probabilities that three events will occur at the same time.
Firstly, we identify the individual probabilities.
The probability of 6 showing In a throw of die is 1/6
The probability of a coin showing head in a flip of coin is 1/2
The probability of a face card being drawn in a deck of cards is 12/52( There are 12 face cards in a deck of cards)
Mathematically to get the probability of all these events happening, we simply multiply all together.
This will be ;
1/6 * 1/2 * 12/52 = 1/52 = 0.0192 ( to 4 decimal place)
The mean is 10 because you will add all the numbers and then divide the answer by 4
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
