1. find the sum of the measures of exterior angles, one at each vertex, of an octagon.
a. 180*
b. 360*
c. 1080*
d. 1440*

2. if the sum of the interior angles of a polygon is 900* ( * = degrees) , then how many sides does the polygon have?
a. 6
b. 7
c. 8
d. 9
10. based on the information given, can you determine that the quadrilateral must be a parallelogram? explain.
11. the parallelogram has the angle measures shown. can you conclude that it is a rhombus, rectangle, or a square? explain.

-60.75

step-by-step explanation:

just add the numbers then put the negative sign on it

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)