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
Answer:
C
Step-by-step explanation:
Sinፀ = opposite / hypotenuse
sinፀ = 12mm / 48mm
ፀ= Arcsin(12/48)
=16.7°
Answer:
Mr.Brown received $5,602.5 last month
Step-by-step explanation:
Mr.Brown already has $5,600 and has 2.5. 2.5 as a fraction is 2 1/2, but it is easier having it as a decimal, so since it’s already a decimal all you need to do it add 5,600 and 2.5(5,600 + 2.5).
Answer:
x= 15/7
Step-by-step explanation: