In ΔIJK, \overline{IK} IK
is extended through point K to point L, \text{m}\angle JKL = (5x-3)^{\circ}m∠JKL=(5x−3)
∘
, \text{m}\angle KIJ = (2x+8)^{\circ}m∠KIJ=(2x+8)
∘
, and \text{m}\angle IJK = (x-1)^{\circ}m∠IJK=(x−1)
∘
. Find \text{m}\angle JKL. m∠JKL.

combine all like terms then its just a 2 step equation

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)

5 + 8 +7 + 4 + 0 +1 = 25

step-by-step explanation: