Need to construct a square, mikayla uses her straightedge to draw line ab . she will use the method of constructing a square which will make line ab a diagonal of the square. what should mikayla do next? open the compass to the length of ab¯¯¯¯¯ and draw a circle centered at point a. without changing the compass opening, draw a circle centered at point b. open the compass to the length of ab¯¯¯¯¯ and draw a circle centered at point a. change to compass opening to half the length of ab¯¯¯¯¯ and draw a circle centered at point b. put the compass point on a and the pencil point on the segment, closer to point a than to point b, and draw a circle centered at point a. without changing the compass opening, draw a circle centered at point b. put the compass point on a and the pencil point on the segment, closer to point b than to point a, and draw a circle centered at point a. without changing the compass opening, draw a circle centered at point b.

The answer is the fourth option. Put the compass point on A and the pencil point on the segment, closer to point B than to point A, and draw a circle centered at point A. Without changing the compass opening, draw a circle centered at point B. The diagonals of a square bisect each other in mutually perpendicular. Let AB be the diagonal, when we draw a perpendicular to the diagonal AB the other two points of the square are in this perpendicular.And are in opposite sides.So we draw the two circles with same radius less than AB and greater than half of AB.  

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)