1. Select an angle OTHER THAN the right angle in the diagram and WRITE that angle.
2. State whether you will apply the trig function sin, cos, OR tan.
3. List the RATIO (fraction) that is equivalent to the trig function (you chose in #2) applied to that angle you chose in #1

see below

Step-by-step explanation:

<X

Sin X = opp side/ hypotenuse

         = 28/35

         =4/5

1) using angle Z

2) sin(Z) = opposite/hypotenuse

sin(Z) = 21/35 = 3/5

3) cos(X) = adjacent/hypotenuse

cos(X) = 21/35 = 3/5

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

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)