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
<h2>Answer</h2>
2
<h2>Explanation</h2>
First, we are going to use the law of fractional exponents:
We can infer form our expression that and , so let's replace the values:
Notice that we can also decompose 16 into prime factors to get , so we can rewrite our expression as follows:
Finally, we can use the rule of radicals: , so:
U can use counters or ur fingers or just model it out with objects
Answer:
a. x = 24
b. x = 40
Step-by-step explanation:
a.
You are given a right triangle, so use the Pythagorean theorem
a^2 + b^2 = c^2
x^2 + 18^2 = 30^2
x^2 + 324 = 900
x^2 = 576
x = 24
b.
The sum of the measures of all angles is 360 degrees.
x + 2x + 2x + 20 + 3x + 20 = 360
8x + 40 = 360
8x = 320
x = 40
The answer would be 69 km.