Step-by-step explanation:


You can do anything you want to one side of an equation.
You'll usually apply an inverse operation to make the side
simpler, for example to get rid of the 'x', or to get rid of the
fractions on that side.
But when you do something to one side of the equation,
you MUST do exactly the same thing to the other side too.
If you don't, then you have changed the equation to a
different one, and the solution to the one you have now
is not the solution to the original one.
Very simple example:
Solve the equation 2x = 2
Correct solution:
Divide each side by 2 : x = 1
Incorrect solution:
Divide the left side by 2 : x = 2
The average is calculated by adding all numbers and dividing by the count:
(2+4+5+6+8+2+5+6)/8 = 38/8 = 4.75
The mode is the number that occurs most often, however, this is the case for 2, 5 and 6. A data set can have multiple modes. 2, 5 and 6 are modes.
Answer:
Proved
Step-by-step explanation:
Given: EC || AC, DB || AC, ∠A = ∠F
Prove: ΔMDF ∼ ΔNCA
Solution
See diagram attached to the solution to better understand the following workings.
Redrawing ΔMDF or rotating to be facing the same direction.
EC is parallel to AC
DB parallel to AC
Using similar triangle theorem:
If ΔMDF ∼ ΔNCA
Ratio of Corresponding sides would be equal
(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)
DF/ CA = MD/NC = FM/AN
∠A = ∠F
∠M = ∠N
∠D = ∠C
Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.
ΔMDF ∼ ΔNCA