Ranking correct answer brainliest :)

115

Step-by-step explanation:

angle DEF is an inscribed angle and arc DF is the arc it intercepts

if you didn't know an inscribed angle is equal to half the measure of the arc it intercepts

Hence angle DEF = 1/2 of arc DF

If arc DF = 230 then angle DEF = half of 230 or 230/2

230/2=115

Hence angle DEF = 115

2 over 5 and 4 over 15

don’t know last one sorry

step-by-step explanation:

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)