Hey there!
Triangle CBD is congruent to triangle ABD. This means that BD is congruent to BD by reflexive property. You have two congruent angles, and one congruent side. This would be AAS theorem. The answer is D.
I hope this helps!
Answer:
We have the functions:
f(x) = IxI + 1
g(x) = 1/x^3.
Now, we know that the composite functions do not permute.
How we can prove this?
First, two composite functions are commutative if:
f(g(x)) = g(f(x))
Well, you could use brute force (just replace the values and see if the composite functions are commutative or not)
But i will use a more elegant way.
We can notice two things:
g(x) has a discontinuity at x = 0.
so:
f(g(x)) = I 1/x^3 I + 1
still has a discontinuty at x = 0, but:
g(f(x)) = 1/( IxI + 1)^3
here the denominator is IxI + 1, is never equal to zero.
So now we do not have a discontinuity.
Then the composite functions can not be commutative.
The formula is
A=p e^rt
A future value 1649
P present value 100
R interest rate?
T time 10 years
E constant
Solve the formula for r
R=[log (A/p)÷log (e)]÷t
R=(log(1,649÷100)÷log(e))÷10
R=0.28×100
R=28%
Answer:
The price of a sandwich is £2.5 and the price of a croissant is £2
Step-by-step explanation:
Let s be the number of sandwiches and c be the number of croissants
Then according to given statements the equations will be:
Multiplying equation 1 by 2 and subtracting equation 2 from the new equation
Now
Putting s=2.5 in equation 1
Hence,
The price of a sandwich is £2.5 and the price of a croissant is £2
If the three integers are 
, then we have
We can combine the fractions on the left side:
