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
Answer: The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"
Step-by-step explanation: You didn't really give me more information to answer this but I still hope that this helped! :)
Answer:
y = - 2x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute (- 6, 2) into the partial equation
2 = 12 + c ⇒ c = 2 - 12 = - 10
y = - 2x - 10 ← equation of line
Answer:
Step-by-step explanation:
To find the distance between a point (m, n ) and the line
Ax + By + C = 0
d = 
Here (m, n) = (6, 2) and rearranging the line
6x - y + 3 = 0 ← in general form
with A = 6, B = - 1 and C = 3 , then
d = 
= 
= 
Rationalise the denominator by multiplying numerator/ denominator by
= × 
=
← cancel 37 on numerator/ denominator
=
You worded this weird but wouldn't it be eight?
