Match the vocabulary word with the correct definition. 1. circle circles that have equal radii 2. radius a segment joining the center of a circle to a point of the circle 3. diameter the set of all points in a plane that are at a given distance from a given point in the plane 4. congruent circles two or more circles that lie in the same plane an have the same center 5. concentric circles a chord of a circle that contains the center of the circle

1 - Circle      2 - Concentric          3 - Congruent       4 - Diameter       5 - Radius

Step-by-step explanation:

1. the set of all points in a plane that are at a given distance from a given point in the plane

Circle

2. two or more circles that lie in the same plane and have the same center

Concentric Circles

3. circles that have equal radii

Congruent Circles

4. a chord of a circle that contains the center of the circle

Diameter

5. a segment joining the center of a circle to a point of the circle

Radius

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions