The correct answer is A. 109 degrees.
Explanation:
Because the angles are supplementary, their sum is 180 degrees.
We know that one of them is 71 degrees, so we substract that from 180, therefore the other angle is 109 degrees.
Answer:
This can be factored to (x + 3)(x - 3)(x + 2) = 0
So x is equal to 3, -3 and -2
Step-by-step explanation:
x³ + 2x² - 9x -18 = 0
Let's try dividing by (x + 3) as that looks like it might be a factor. We'll use long division:
x² - x - 6
x + 3 } x³ + 2x² - 9x -18
x³ + 3x²
-x² - 9x
-x² - 3x
-6x - 18
-6x - 18
0
Perfect! So (x + 3) is a factor, giving us:
(x + 3)(x² - x - 6)
the remaining quadratic can be factored more easily:
(x + 3)(x² - x - 6)
= (x + 3)(x² + 2x - 3x - 6)
= (x + 3)(x[x + 2] - 3[x + 2])
= (x + 3)(x - 3)(x + 2)
Now we can solve it easily as we know that's equal to zero, so x can be equal to 3, -3, and -2
Because opposite angles in a quadrilateral inscribed in a circle are supplementary.
angle c = 180 - 2x - 38
angle c = 142 - 2x
The circumcenter of a right angled triangle is midpoint of the hypotenuse side.
Determine the midpoint of the hypotenuse.
For y coordinate,
So, circumcenter of triangle is,