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:
A line parallel has the same slope, so -3
Answer:
We know that when x= -10, y= -17.
So, if we put those into direct variation "y=kx", we get
-17= k(-10)
k = -17 / -10
Now we put the value of "k" into the formula and we get A (y= 17/10x )

The slope is 2
y=2x + b
Plug in a point to solve for b
8 = 2(3) + b
8 = 6 + b
b = 2
The equation is y = 2x + 2
Answer:
A) y = 4x - 1
Step-by-step explanation:
y = mx + b
y = 4x + b
7 = 4(2) + b
7 = 8 + b
-1 = b
y = 4x - 1