Only the reasons need be given here, as the statements are already given in your figure.
Given
Given
Given
Definition of congruent line segments
Symmetric property of congruence
Addition and substitution properties of equality*
Segment addition theorem
Definition of congruent line segments
AAS congruence postulate
_____
* The addition property says if A=B, then A+C=B+C. The substitution property further says if C=D, then A+C=B+D (D can be substituted for C). IMO, both properties are needed together to get from A=B and C=D to A+B=C+D.
Recognize that "( ) over 2^3" means ( ) • 2^-3. Use the rule of exponents
.. (a^b)^c = a^(b•c)
= 2^-16•5^10•19^-2 • 5^-8*2^-12 • 2^28
Now, you can use the rule of exponents
.. (a^b)*(a^c) = a^(b+c)
= 2^(-16 -12 +28) • 5^(10 -8) • 19^-2
= 5^2 • 19^-2
= 5^2 / 19^2
= 25/361
Answer:
See below.
Step-by-step explanation:
So we know that a gym membership costs $25 plus $14 each month.
In other words, the one-time cost is $25 and there will be a cost of $14 each month.
We can write this as:
Where f(x) equals the total cost given the number of months x.
For 6 months, the total cost will be:
Make an equation:
6x + 12 = 268.26
6x = 256.26
X = $42.71
The monthly payment is $42.71
