Answer:
∠ AFE = 80°
Step-by-step explanation:
Since BD is a straight line , then
∠ AFB + ∠ AFE + ∠ EFD = 180°, that is
50° + ∠ AFE + 50° = 180°
100° + ∠ AFE = 180° ( subtract 100° from both sides )
∠ AFE = 80°
Answer:
A dime is worth 2 nickels.
let no of dimes be x
let no of nickles be y
so as per the data mentioned in the question , x=2*y-10
total amount = $2.75
so total amount should comprise of nickels and dimes
x*dimes + y*nickels = $2.75
x*( 2 nickels)+ y *nickels = $2.75
=> nickles( 2x+y) = $ 2.75
but 20 nickels = 1 dollar
nickles(2x+y) = 2.75*20 nickels
cancelling nickles on both sides
2x+y = 55
already we know that x= 2y-10
so 2(2y-10) +y= 55
4y-20+y=55
5y -20 =55
add 20 on both sides
5y-20+20=55+20
5y=75
divide with 5 on both sides
5y/5 =75/5
y= 15
so x= 2y-10
x= 2*15-10
x= 30-10
x= 20
so # of dimes =20
# of nickels =15
Answer :
The Correct Option is B) Hexagon
Step-by-step explanation :
Let number of sides in a polygon be n
The triangles are created by drawing the diagonals from one vertex to all the others.
Since there is no overlapping of the triangles so no diagonal will be drawn back to itself, and the diagonals to each adjacent vertex would lie on top of the adjacent sides, therefore number of diagonals from a single vertex is three less the the number of sides, or n - 3 and the number of triangles is one more than that, so n - 2.
⇒ Number of triangles = number of sides in polygon - 2
⇒ Number of triangles = n - 2
⇒ n = 4 + 2
⇒ n = 6
And the polygon containing 6 sides is called Hexagon
Hence, the correct Option is B) Hexagon
Answer:
I feel like a lot of people try to get people just to do the work for them on this site.
Step-by-step explanation:
To actually find the area of this shape without using a too high level of math, you would split the shapes into geometric shapes and you should find that you have all the values to make that line up. Just remember to be careful. This will take a moment which is why i'm not doing it. Remember area = b*h area of triangle = 1/2*b*h
The most general proccedure for this type of problems is the following:
For a quadratic function of the following form 
; where b and c are real numbers.
1) Identify the value that accompanies the x, that is, the value "b"
2) Divide the value of b by 2 and then square it: 
3) Add and subtract in the function the value of
4) Write the complete function of the form 
For the function presented 
the result is as follows:
1) The value of b is 12
2) 
3) 
4)
Finally the function is:
The zero pair that must be added is 36 and -36
