The area of figure ABCDEF can be computed as the sum of the areas of trapezoid ACDF and triangle ABC, less the area of trangle DEF.
trapezoid ACDF area = (1/2)(AC +DF)·(CD) = (1/2)(8+5)(6) = 39
triangle ABC area = (1/2)(AC)(2) = 8
triangle DEF area = (1/2)(DF)(2) = 5
Area of ABCDEF = (ACDF area) + (ABC area) - (DEF area) = 39 +8 -5 = 42
The actual area of ABCDEF is 42 square units.
Answer:
The answer is "25".
Step-by-step explanation:
Please find the graph in the attachment.
Calculating the triangle two other sides:
let
Answer:
<u>For this equation the value of x is - 2/3</u>
Step-by-step explanation:
1. Resolving the equation 2/3-4x+7/2=-9x+5/6
-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)
5x = (5/6 - 4/6 -21/6)
5x = -20/6
x = - 20/6 /5 (Dividing by 5 at both sides)
x = -20/6 * 1/5
<u>x = -4/6 = - 2/3 (Simplifying)</u>
2. Proof of replacing x by -2/3
2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6
2/3 + 8/3 + 7/2 = 18/3 + 5/6
10/3 + 7/2 = 6 + 5/6
20 + 21 = 36 + 5 (Multiplying by 6 at both sides)
41 = 41
<u>It means the value of -2/3 for x is correct</u>
Note: Same answer than 13866851
Answer:
2090
Step-by-step explanation:
0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent
94 is not a prime number. Because you have a "4" at the end of 94 that means that it is divisible by 2. 2 x 47 is 94. Because it has factors more than one and itself, it has to be a composite number
