Answer:

Step-by-step explanation:

<ADB=20
<ADC=55
<BDC=32.5
<ACB=20
Answer:

The center is:
(2, -4)
Step-by-step explanation:
We have the following equation

The general equation of a circle has the following form

Where r is the radius and the point (h, k) is the center of the circle
To transform the given equation in the general equation of a circumference we must use the method of square completions
Step 1

<u>Step 2</u>
<u> </u>Add and subtract
For an equation of the form


<u>Step 3 </u> Factor the expressions within the parentheses

<u>Step 4 Simplify</u>


Finally

The center is:
(2, -4)
Answer:
(-5, 3)
Step-by-step explanation:
Let O(x, y) be the centroid of the triangle.
The median of a triangle is a line segment that joins the vertex of a triangle to the midpoint of the opposite side. There are three medians in a triangle; and the medians of a triangle intersect at a point called the centroid.
The centroid of a triangle is gotten from the average of the x coordinates and the y coordinates of all the three vertices.
For Triangle ABC has vertices A (3,-3) B (-7,9) C (-11,3) and centroid O(x, y). Hence:

The centroid is at (-5, 3)