Answer:
Area of the trapezium ABDE = 30 cm²
Step-by-step explanation:
Area of a trapezium = 
Here, 
and 
are the parallel sides of the trapezium
h = Distance between the parallel sides
From the picture attached,
ΔCAE and ΔCBD are the similar triangles.
So by the property of similarity their sides will be proportional.
CE = 
CE = 12 cm
Therefore, DE = CE - CD
DE = 12 - 8 = 4 cm
Now area of trapezium ABDE = 
= 
= 30 cm²
Therefore, area of the trapezium ABDE = 30 cm²
14 = 31.7 - 3x
-17.7 = -3x <---- I subtracted 31.7 from both sides
5.9 = x <---- I divided both sides by -3
The average number of goals per game Peter scores, rounded to one decimal place is 1.6
<u><em>Explanation</em></u>
In first two games Peter scored 2 goals each. So, total score in two games = (2×2)= 4
In one game he scored 0 goal and in next two games he scored 3 goals each, so the total is (3×2)= 6
In the last four games he scored 1 goal in each, so the total is (1×4)= 4
So, the total score in all 
games 
Thus, the average number of goals 
So, the average number of goals per game Peter scores, rounded to one decimal place is 1.6
28 is the coefficient of x and 35 is the constant
1. She could get 9 envelopes for 4 dollars each (or the other way around)
2. She could get 12 envelopes for 3 dollars each (or the other way around)
3. She could get 18 envelopes for 2 dollars each (or the other way around)
