the sum of all interior angles in a polygon is
180( n - 2)
n = number of sides
now, this polygon is a quadrilateral, so it has 4 sides, so it's total is just 180( 4 - 2) = 360.
(5x²+4)–(5+5x³)
25x+4–5+125x
150x–1
<span>The first time she chooses, her chances are 2/10 that she will get an I tile. With not replacing the tile, her second chance will be 1/9. Multiply the two fractions together gives 2/90 = 1/45
(^>^)</span>
Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
From the function y=x^2-4x+7
to complete the square we proceed as follows:
The vertex form is given by:
y=(x-h)^2+k
where (h,k) is the vertex:
thus from the function we shall have:
y=x^2-4x+7
c=(b/2a)²
c=(4/2)²=4
thus adding an subtracting 4 in the expression:
y=x^2-4x+4-4+7
y=(x-2)^2+3
thus the vertex will be:
(2,3)
The answer is:
<span>D. Minimum at (2, 3)</span>
