Answer:

Step-by-step explanation:
x is the center of the circle.
the chord of length 12 can be splitted into two parts of 6 length each.
since the radius does not change when it touches another end of the circle, we can safely calculate our radius to be the hypotenuse of the triangle formed by the length of the chord and 3.
The explanation is given in the picture
Answer:
b ≥ 5,000.
Step-by-step explanation:
1. Use the information given in the problem to write the inequality... such as box tops & the amount of 5,000 box tops.
2. b represents the number of box tops for the fundraiser. Therefore, based on the information provided, the value of b must be greater than or equal to 5,000 box tops. So, you get the inequality is:
b ≥ 5,000
3. Then you graph it, you must use a closed circle for ≥.
~~(the graph is different, but you should be able to understand it.)
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4 and five eights is equal to 4 + 5/8.
You know that the decimal representation of 5/8 is 0.625, so the decimal representations of 4 and five eights will be 4.625.
Answer:
1st and 2nd statements are true.
Step-by-step explanation:
We are asked to choose the correct statements that can prove that quadrilateral DEFG is a parallelogram.
We will use parallelogram properties to answer this problem.
Since we know that a parallelogram has two sets of opposite angles congruent, therefore, 1st option is a correct choice.
Since a parallelogram has one set of opposite sides that are both congruent and parallel, therefore, second statement is true.
Since the consecutive angles of a parallelogram are supplementary, therefore, 3rd statement is not true.
Since the diagonals of parallelogram bisect each other, therefore, 4th statement is not true.
Answer:
drawing a blue marble is a harder then the yellow but not as hard as the red.