Mai wants to construct a regular hexagon inscribed in the circle centered at C. Will these instructions work to finish the hexagon from the construction given? If so, explain why Mai is correct. If not, explain how you would finish the construction correctly. i. Draw the circle centered at D with radius CD.
ii. Mark the intersection of the circle with the circle centered at C, and label that point E.
iii. Draw the circle centered at E with radius DE.
iv. Mark the intersection of the circle with the circle centered at D, and label that point F.
v. Connect ABCDEF to make a regular hexagon.

In constructing the regular hexagon inscribed in a circle, it is clear that Mai is wrong because;

- he omitted steps, 2, 3 and 4 and instead made use of wrong steps

The steps for him to finish correctly are;

Step 1 to Step 6 explained below.

The steps are;

Looking at the steps above and comparing it to Mai's steps, it is clear that Mai omitted steps 3, 4 and 5 and instead used wrong steps that would not lead to a regular hexagon.

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Place your compass point on the paper and draw a circle. (Keep this compass span!)

2. Place a dot, labeled P, anywhere on the circumference of the circle to act as a starting point.

3. Without changing the span on the compass, place the compass point on P and swing a small arc crossing the circumference of the circle.

4. Without changing the span on the compass, move the compass point to the intersection of the previous arc and the circumference and make another small arc on the circumference of the circle.

5. Keep repeating this process of "stepping" around the circle until you return to point P.

6. Starting at P, connect to each arc on the circle forming the regular hexagon.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.