To solve this problem you must apply the proccedure shown below:
1. You have that:
- T<span>he equation d=1/2(n(n-3)) gives the number of diagonals for the polygon.
- The polygon that has 65 diagonals..
2. When you clear n, you obtain:
d=n(n-3)/2
d=(n^2-3n)/2
2x65=n^2-3n
n^2-3n-130=0
3. When you solve the quadratic equation, you obtain:
n=13
Therefore, the answer is: 13 sides. </span>
Answer:
x=4
Step-by-step explanation:
-3(4x+3)
you need to break open the paranthesis
-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.
4(6x+1)
you need to break open the paranthesis
4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.
-12x-9+24x+4=43
move all variables to the left side and numbers to the right side
-12x+24x=43-4+9
12x=48
x=4
In order to do this, you have to use the Pythagorean Theorem which is a^2 +b^2=c^2 It does not matter in what order a and b are, but c is always the hypotenuse or the side across from the right angle. First, you substitute 24 in for a and 45 in for b so your equation so far would look like 24^2 + 45^2 = c^2 Then, you square 24 and 45 and get 576+2025=c^2 Then you add the two to get 2601=c^2 Finally, you would square root both sides and get 51=c So the width of the recycling bin is 51 inches long
Trying using photo math or on google there is actually a slope calculator called functions calculator in stupid sorry for not answering it lol
Answer:
x = 12
A = 30
Step-by-step explanation:
Here, we want to solve for the value of x
The angle at the top of the triangle is 8x + 4
The reason for this is because vertically opposite angles are equal
Mathematically;
8x + 4 + 3x - 6 = 130
The reason for this is that opposite interior angles equal the exterior angle
Thus;
8x + 3x + 4- 6 = 130
11x -2 = 130
11x = 130 + 2
11x = 132
x = 132/11
x = 12
The value of A is 3x - 6
A = 3(12)-6
A = 36-6
A = 30
