Answer:
Step-by-step explanation:
Given : Vertices of Triangle 
, 
and 
To find : Centroid of a triangle
The centroid of a triangle is the point of intersection of the three medians of the triangle.
The formula to calculate the centroid of a triangle is:
Where, 
are the coordinates of the centroid
Substituting the values in the formula gives us:
Therefore,
<em>A</em><em>N</em><em>S</em><em>W</em><em>E</em><em>R</em>
x＝24
Step-by-step explanation:
x＋180＋156＝360
180＋156＝336
x＋336＝360
x＝360-336
x＝24
Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers
So algebraically, consecutive integers follow the form x, x+1, x+2, etc...
Since the sum of two consecutive integers is 239, this means:
x%2Bx%2B1=239
2x%2B1=239 Combine like terms on the left side
2x=239-1Subtract 1 from both sides
2x=238 Combine like terms on the right side
x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x
x=119 Divide
So our first number is x=119
So to find the next number, simply add 1 to it to get 119%2B1=120
Answer: So our two page numbers are 119 and 120
The sides of the box are 12in by 12in by 30in.
The interior diagonal =[12^2+12^2+30^2]0.5
=[144+144+900]^0.5
=1188^0.5
The final answer is 34.47in.
My deepest apology if this is not what you meant.
= 34.47in.
9) C.
10)A.
11) $75
Those are all the answers that you needed.
