Step-by-step explanation:
you know, a single side cannot be longer than the other 2 sides combined.
otherwise, the triangle cannot "close".
so, it starts with 12 cannot be longer than 5 + n.
therefore, n must be at least 7.
and n cannot be longer than 5+12 = 17
7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.
so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.
that is 9 positive integer values.
First, we would set the number to x.
Then, we turn the words into an equation.
x+75 = 3x-39
Isolate the x.
-2x = -114
So...
x = 57
Thank you for posting your question here at brainly. Below is the solution. I hope the answer will help you.
<span> x ( x+4) = 45 </span>
<span>5m X 5m AND 8m X 8m
</span>
5) x ( x+6) = 135
<span>x^2 +6x -135 = 0 </span>
<span>( x-9) ( x+15) = 0 </span>
<span>x = 9 </span>
<span>ANSWER 9 & 15</span>
Easy way
-21÷3=-7 which is the exact center so
-6, -7, -8
Equation
x + (x+1) + (x+2) = -21
3x + 3 = -21
3x=-24
x=-8
x+1=-7
x+2=-6
2. Consecutive Odd Integers
X, X+2, X+4
X + (X+2) + (X+4) = 144
3X+6=144
3X=144-6=138
X = 138/3 = 46 .....There are no 3 odd Integers that can equal an even integer
3. 3 consecutive even number x, x+2, x+4
X + (X+2) + (X+4) = 48
3X+6=48
3X=48-6=42
X=42/3=14
14, 16, 18
