Name the following segment or point.
given l, m,n are midpoints

median to bc

1. segment am
2. segment bl
3. segment as

1. Segment AM.

Step-by-step explanation:

We have been given a triangle ABC. Points L, M and N re midpoints of the triangle. We are asked to find the median of segment BC.

We know that median of a triangle is line segment connecting the midpoint of a segment to the opposite vertex.

We can see that angle A is the opposite angle to side BC and M is the midpoint of side BC, therefore, segment AM is the median to side BC and 1st option is the correct choice.

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)