Slope of a line = (y₂ - y₁)/(x₂ - x₁)
K' = y₂ - y₁ ( for E & F)
L' = x₂ - x₁ ( for E & F)
=> Slope from E to F = K'/L'
Two triangles are similar
=> K/K' = L/L' = DE/EF
=> K/K' = L/L'
=> K/L = K'/L'
=> K'/L' = K/L
Triangles are similar
K - L = K' - L'
Sufficient information is not given but from picture it is clear that slope of line = 1
=> K = L & K' = L'
hence K - L = 0 & K' - L' = 0
=> K - L = K' - L'
Answer:
X = 10 + 4 Simplified: X = 14
Step-by-step explanation:
-1/5 (x - 4) = -2
distributive property
(-1/5 · x) + (-1/5 · -4) = -2
simplify
-1/5x + 0.8 = -2
multiply each side by -5
X + -4 = 10
simplify
X - 4 = 10
an
Answer: the best option is the 15% off card because it would lealve you at 311.95$ whereas the 50$ off would leave you at 317$
Answer:
Question 2 is $500 and Question 3 is 5
Step-by-step explanation:
Given:
A number when divided by 780 gives remainder 38.
To find:
The reminder that would be obtained by dividing same number by 26.
Solution:
According to Euclis' division algorithm,
...(i)
Where, q is quotient and 
is the remainder.
It is given that a number when divided by 780 gives remainder 38.
Substituting 
in (i), we get
So, given number is in the form of 
, where q is an integer.
On dividing by 26, we get
Since q is an integer, therefore (30q+1) is also an integer but 
is not an integer. Here 26 is divisor and 12 is remainder.
Therefore, the required remainder is 12.
