You can divide 12 by 3 to make it equivalent to 1/3 of the equation. This will come to 4, which will then be multiplied by two to get you the answer of 8.
Hope this helps! <3
Answer:
No, they are not congruent
Step-by-step explanation:
By CD and EF being congruent, we want to know if they are equal.
What we can simply do here is to find the distance between the points present.
That is, the distance between C and D, the distance between E and F
To get the distances between two points , we use the following equation
D = √(x2-x1)^2 + (y2-y1)^2
For CD, we have
D = √(6 -(-1)^2 + (-7 + 7)^2
D = √(7)^2 = 7 units
For EF, we have
D = √(5-5)^2 + (-5-3)^2
D = √(-8)^2
D = √(64) = 8 units
This clearly shows that they are both not congruent
Step One
Find the cost of one bottle
12 bottles cost 9.25 pounds.
1 bottle costs x
12 / 1 = 9.25/x Cross multiply
12*x = 1 * 9.25 Divide by 12
x = 9.25 / 12
x = 0.77
Remark
0.77 pounds sterling = 77 pennies
Step Two
find the profit on the sale of one bottle
100 - 77 = 23 pennies
Step Three
Find the % profit on one bottle.
% Profit = (profit on one bottle / Cost of 1 bottle.) * 100%
% Profit = (23 / 77) * 100
% Profit = 29.87% <<<<<<<< Answer.
This is the area of a trapezoid and the formula for that is:
.5(h)(b1 + b2) where h is height and b1 and b2 are the base length or the length of the parallel sides. therefore, our area is:
.5(16)(6+12)
8(18)
144
if you're wondering why the area formula works, construct another trapezoid but this time upside-down. now flip it along it's height axis so you can align one of the side lengths of the 2 trapezoids and you have a parallelogram.
the base of this parallelogram is b1+b2 of the original trapezoid and the height still remains h so the area of this parallelogram is (h)(b1 + b2). however, we want to find the area of the trapezoid but we find that the parallelogram is twice the area of our trapezoid so the area of the trapezoid is half the area of the parallelogram. so area = .5(h)(b1 + b2).
let me know if you have any questions!
