Points A, B, and form a triangle. Complete the statements to prove that the sum of the interior angles of AABC is 180°. Reason
Statement
Points A, B, and C form a triangle.
Let DE be a line passing through Band parallel to AC
23 25 and 21 24
given
definition of parallel lines
v
m_1 = m 24 and m 3 = m25
v
m24+ m22 + m25 = 180°
angle addition and definition of a straight line
substitution
m21 + m22 + m23 = 180°
All

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)

hi do you need an answer for your question?

step-by-step explanation:

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