Answer:
Height (h) = 16 units
Step-by-step explanation:
Area of trapezium = ½ (Sum of 2 parallel lengths) * Height
Area = ½ ( a + b ) h
Given that:
a=6 units
b= 9 units
Area = 120 square units
Therefore:
120 = ½(6+9) h
120 = ½ (15) h
Multiply through by 2.
2*120 = 2*½ (15) h
240 = 15h
h = 240/15
h= 16 units
Please find the attached file for the sketch.
Enjoy solving math
Answer:
y = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1,2) and (x₂, y₂ ) = (4, y)
m = , hence
= -
( cross- multiply )
5(y - 2) = - 20 ( divide both sides by 5 )
y - 2 = - 4 ( add 2 to both sides )
y = - 2
coordinates of point are (4, - 2)