Denise is constructing a square in which two of its vertices are points m and n. she has already used her straightedge and compass to construct the lines and arcs shown. what should denise do for her next step? a) use a straightedge to draw a horizontal line that contains point o. b) use a straightedge to draw mo. c) place the point of the compass on point m and draw any arc above it. d) place the point of the compass on point n and draw an arc that intersects n o, using mn as the width for the opening of the compass.

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.  

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents