Answer:
SAS theorem
Step-by-step explanation:
If 
and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.
So, and m∠ECD = m∠BCA because vertical angles are congruent
Therefore ΔECD is similar to ΔBCA by SAS theorem
Answer:
Madhu diposited Rs 20000 in a bank,
Rate=10% per annum compounded half yearly,
Time=
2
3
years.
We know that,
Total amount= Principle+CI
For interest compounded half yearly,
Total amount =P(1+(
200
R
))
2n
=20000(1+(
200
10
))
2×
2
3
=
200×200×200
20000×210×210×210
=22050
Interest=Amount−Principle
=22050−20000
=2050 Rs
Step-by-step explanation:
i hope it helps
Answer:
-2
Step-by-step explanation:
To find the slope you have to do (y2-y1)/(x2-x1).
So in this case (-7-11)/(5+4)
So the slope is -2
The one-to-one functions given as sets of points and their possible inverse functions are given as
h = { (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
g = { (1,3), (2,6), (3,9), (4,12), (5,15), (6,18)}
f = { (1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
i = { (1,1), (2,3), (3,5), (4,7), (5,9), (6,11)}
h⁻¹ = { (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
i⁻¹ = { (1,1), (3,2), (5,3), (7,4), (9,5), (11,6)}
g⁻¹ = {(3,1), (6,2), (9,3), (12,4), (15,5), (18,6)}
f⁻¹ = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
The inverse function of a given function should have the coordinates reversed.
Therefore the matches between the given functions and their inverse functions are given in the table below.
function Inverse function
----------- ------------------------
h h⁻¹
g g⁻¹
f f⁻¹
i i⁻¹
Answer:
The given functions and their corresponding inverses are correct.
