Easy, it says "for ANY positive integer" so just test any positive integer
remember that n! means times all integers from 1 to that number n
lets try 1
(1+1)!/(1!)-1=
(2!)/(1!)-1=
2/1-1=
2-1=
1
if you don't believe me, try 2
(2+1)!/(2!)-2=
(3!)/(2!)-2=
(6)/(2)-2=
3-2=
1
te answer is 1, B
and number 9
easy, remember the exponential law
(x^m)(x^n)=x^(m+n)
jsut add the exponents
first gropu like bases
(r^2r^2/3)(t^1/2t^-3/2)
add bases
(r^2 and 2/3)(t^-1)=
(r^2∛(r^2))(1/t)=
Answer:
Part 1) Option C. Same side interior angles
Part 2) Option A. 
Part 3) Option B. 
Step-by-step explanation:
Part 1) we know that
If p and q are parallel
then
m<3 and m<5 are consecutive interior angles or Same side interior angles
and

Part 2) we know that
-----> by consecutive interior angles (supplementary angles)
we have that


so
substitute

Part 3) Find the measure of angle 5
we know that

Solve for x




substitute the value of x

The length of the concrete patio is 6 1/2.
I got this answer by dividing 36 5/6 and 5 2/3. Therefore, answer is 6 1/2
The number of decorative pillows did the realtor arrange on each twin bed and queen bed is 6 and 9 respectively.
<h3>Simultaneous equation</h3>
let
- Number of decorative pillows for twin bed = x
- Number of decorative pillows for queen bed = y
x + y = 15
2x + y = 21
From equation (1)
x = 15 - y
- Substitute x = 15 - y into (2)
2x + y = 21
2(15 - y) + y = 21
30 - 2y + y = 21
- 2y + y = 21 - 30
-y = -9
y = 9
Substitute y = 9 into
x + y = 15
x + 9 = 15
x = 15 - 9
x = 6
Learn more about simultaneous equation:
brainly.com/question/16863577
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I think it is 8/17...
hope this helps!