EF = 12
Step-by-step explanation:
Step 1 :
The square of side 18 in is divided into 3 parts of equal area by the polygonal chain
So we have
Area of the figure ABCE = Area of the figure AECF = Area of the figure AFCD
Step 2 :
Area of figure ABCE is Area of the triangle AME + Area of the trapezium EMBC
Area of triangle AME = 1/2(ME )(AM) where ME is the base and AM = 9 is the height of the triangle ( AM = 9 since M is the midpoint of AB)
Area of triangle AME = 1/2(ME )9 = 9/2(ME)
Area of the trapezium EMBC = 1/2(ME +BC)(MB) Where ME and BC are the 2 parallel sides and MB is the distance between them
Area of the trapezium EMBC = 1/2(ME+18)9 = 9/2(ME+18)
Therefore
Area of figure ABCE = 9/2(ME) + 9/2(ME+18)
= 9/2(ME +ME+18)
But we know that the area of this figure is 1/3 of the area of the square = 1/3(18*18) = 108
So, 9/2(ME +ME+18) = 108 => 2 ME + 18 = 24 = > ME = 3
Step 3 :
Using the same procedure as above we get, FN = 3
Also we have
ME + EF + FN = 18 ( side of the square)
3 + EF + 3 = 18 => EF = 12
Answer:
-5
Step-by-step explanation:
Since,there are twelve digits given, we can arrange them in such a way that they make three rows.
On subtracting the second row from the first row, we have
3,3,5,4, the first three digits of these numbers are equal to the sum of the first three numbers in the third row. With the help of this, the answer will b -5.
Answer: The equation for this parabola is 2(x+1)^2−32
Hope this Helps!
Answer:
5
Step-by-step explanation:
We need to use Pythagoras' theorem.
For this we can use the pythagoras formula a^2+b^2=c^2 and rearrange this
We then will have 8^2+b^2=89
(because 89(sqrt) squared is 89)
We can then solve for what x is.
We take away 64 from 89 which is 25
the square root of 25 is 5
Therefore x=5
