Answer:

Step-by-step explanation:
Given

Required
Find n
Simplify (n + 1)!

Factorize
![n![2(n+1) + 6] = 3(n+1)*n!](https://tex.z-dn.net/?f=n%21%5B2%28n%2B1%29%20%2B%206%5D%20%3D%203%28n%2B1%29%2An%21)
Divide both sides by n!

Open brackets


Collect like terms


Multiply both sides by -1

Answer:
A=60
The angle measures from least to greatest are 60, 60, 120, 120
Step-by-step explanation:
360=6a
(divide by 6)
60=a
(plug it back in)
2a= 2(60)
2a=120
Answer:
$284
Step-by-step explanation:
You multiply 35.50 by 8
X² − 6x + 7 = 0
Let's complete the square [x²-6x+(??)²] -(??)² +7 = 0
As you noticed we have added the unknown square & also subtract the same so that not to change the equation
The question now is to calculate this square (??)²
We know that the middle term (6x) is twice the square root of the 1st times the square root of the 2nd, That is 6x=2x (multiply) √(??)²
6x = 2x?? & ??=6x/2x===> ?? =3 & (??)² =9
Hence plug (??)² into the equation above:
x² - 6x + 9 - 9 +7 =0
(x²-6x+9) -9 + 7 =0
(x-3)² -2 =0 ====> (x-3)² = 2 (that is B)
Answer:
11.25
77.85
Step-by-step explanation:
1.6x + 3 = 21
use inverse operation (+ = -, x = ÷) by taking 3 to the opposite side and changing it's integer to negative
1.6x = 21 - 3
divide 2 sides by 1.6
1.6x = 18
1.6x/1.6 = 18/1.6
x = 11.25//
2.15(x-5)=75
inverse operation
x= 75 - 2.15 + 5
x= 77.85//