What is true regarding chords and diameters of circles? a. both cords and diameters have two endpoints on a circle. diameters must intersect the center of a circle. b. both chords and diameters have two endpoints on a circle. chords must intersect the center of a circle c. chords have two endpoints on a circle. diameters have one endpoints on a circle and one at the center d. chords have one endpoint on a circle and one at the center. diameters have two endpoints on a circle

The correct answer is A.

Step-by-step explanation:

The only way to answer this question is to check the definitions of chord and diameter.

A chord is a segment with endpoints on the circle. In the attached figure the segments CD and GH are chords.

Now, notice that according to the given definition the segment EF is also a chord, but with the special characteristic that the center of the circle, denoted by A, it is on the segment. This ‘‘special’’ chords that contains the center of the circle are called diameter.

Sometimes the diameters are also called the larger of the chords.

answer:     true

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.