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
![\frac{(x+9)*8}{2} =120\\\\\\(x +9)*4 = 120](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B9%29%2A8%7D%7B2%7D%20%3D120%5C%5C%5C%5C%5C%5C%28x%20%2B9%29%2A4%20%3D%20120)
x + 9 = 120/4
x + 9 = 30
x = 30 - 9
x = 21 m
AB = 21m
Answer:
The day's high temperature written as degrees Celsius is 25 degrees' Celsius.
Step-by-step explanation:
The day's high temperature in St. Louis ,Missouri was recorded as 77 degrees F.
We are supposed to find the day's high temperature written as degrees Celsius.
Formula : ![C=\frac{5}{9}(F-32)](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B5%7D%7B9%7D%28F-32%29)
Substitute the value of F is 77 degrees
So,![C=\frac{5}{9}(77-32)](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B5%7D%7B9%7D%2877-32%29)
![C=\frac{5}{9}(45)](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B5%7D%7B9%7D%2845%29)
C=25
Thus, The day's high temperature written as degrees Celsius is 25 degrees' Celsius.
break it up into simpler shapes. See the photo.
There is:
trapezoid
A = 0.5(3.2+6.5)4.5
= 21.825
triangle
A = 0.5(2.7)4.5
= 6.075
rectangle
A = 1.8(4.5)
= 8.1
Total Area = 21.825 + 6.075 + 8.1
= 36
26 good luck n I hope you pass