X(x+1) = 132
x^2+x = 132
x^2+x-132 = 0
Factoring this gets you
(x+12)(x-11) = 0
x = 11 only because x = -12 is negative and you’re looking for positive integers
x+1
11+1
12
The two integers are 11 and 12
Answer: 65 seats in row 20
Step-by-step explanation: 3 = 31, 6 = 37 the difference is 3 rows but 6 seats so its going up 2 every row therefor you need 14 rows after row 6 so 14 * 2 + 37 = 65 seats
The ladder is the hypotenuse of a 45 45 90 triangle.
The legs of a 45 45 90 triangle = hypotenuse / sqroot (2)
15 / 1.414 = 10.608
(Incidentally it is the "bottom" of the ladder that is 10.608 feet from the wall. The "top" of the ladder is touching the wall. LOL)