<h2>
Answer:</h2>
A) every diameter
<em>The center of a circle lies on </em><em>every diameter.</em>
<h2>
Explanation:</h2>
B) The circle: A circle is a two-dimensional shape where all points are the same distance from the center. So this definition doesn't match the definition of the center of the circle. The center is just a point not several ones.
C) A tangent line: obviously this definition is false. A tangent line is a line not a point.
D) Every chord: A chord is any line segment between two points on a circle. The only chord that passes through is the diameter. So this definition does not include all the chords of a circle
A) Every diameter: This is the correct option! A diameter is any chord that <em>passes through the center</em>.
Let a = 12 and b = 18 be the two given sides
Let c be the unknown third side
Due a modified form of the triangle inequality theorem, we know that,
b-a < c < b+a
18-12 < c < 18+12
6 < c < 30 which is the final answer
This says c is between 6 and 30, but cannot equal either endpoint.
Answer:
yes
Step-by-step explanation:

will factor into the following

Set each factor equal to 0:

or


x = +/- 2i x = +/- 6
Answer: 2i, 6, -6