Answer:
2i + 14
Step-by-step explanation:
4i + 4 - 2i + 10
combine like terms
2i + 14
Slope = (y2-y1)/(x2-x1) = (8-2)/(3-1) = 6/2 = 3. So the answer is c.
Answer:
False unless a right trapezoid.
Step-by-step explanation:
All trapezoids have 4 angles which add to 360 degrees. The angles can be any measure except in a right trapezoid which does have two 90 degree angles. It is not a requirement to be a trapezoid though so this is false.
Answer: The area is 268 cm squared (approximately)
Step-by-step explanation: The area of a parallelogram is given as ;
Area = b x h
Where b is the base and h is the vertical height. However the vertical height is not given, so we shall apply the trigonometric ratio to determine the vertical height. If we draw a straight line from the the top right vertex down to the base, we would have constructed a right angled triangle with hypotenuse 13cm, and reference angle 79 degrees. We can now calculate the vertical height as follows;
Sin 79 = opposite/hypotenuse
Sin 79 = h/13
By cross multiplication we now have
Sin 79 x 13 = h
0.9816 x 13 = h
12.76 = h
With the vertical height now known, we can calculate the area as follows
Area = b x h
Area = 21 x 12.76
Area = 267.96 cm squared
