Answer:
D. it is the point where the three angle bisectors of the triangle intersect.
Step-by-step explanation:
Because in geometry the incenter of a triangle is deliberated as the center of a triangle.
Answer:
x1 = 6 + 2√6 or x2 = 6 - 2√6
Step-by-step explanation:
x² - 12x + 12 = 0
We need to use formula:
a² - 2ab + b² = (a - b)².
x² - 12x = - 12
x² - 2*6x + 6²- 6² = - 12
(x - 6)² - 36 = -12
(x - 6)² = - 12 + 36
(x -6)² = 24
(x - 6) = √24 or (x-6) = -√24
(x - 6) = 2√6 or (x-6) = - 2√6
x = 6 + 2√6 or x = 6 - 2√6
Answer:
1857.12 square meters
Step-by-step explanation:
Let L be the length of the rectangle and 'W' be the width
Perimeter = 
The fencing material costs $30 per meter.
The material for the partitions costs $25 per meter


Solve for L

Area = length times width

Now take derivative and set it =0

set the derivative =0 and solve for W

So width = 31.8 that gives maximum area

square meter
It seems as if D is the answer
The law of sines is usually written as
[sin (A) / a] = [sin (B) / b] which can be manipulated algebraically as
[b * sin (A) / sin (B)] = a
Answer:
x = -75
Step-by-step explanation:
x/-5=15
x = 15 x -5
x = -75