The diagram below shows several parking spots near the grocery store, formed with three parallel line segments and a transversal. 3 parallel lines are cut by a transversal to form 3 sets of 4 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12.

If the measure of angle 4 is 132°, what is the measure of angle 7?
32°
48°
132°
148°

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)

25/6

step-by-step explanation:

you multiply 4 by the denominator (4*6=24) and add it to the numerator which makes it 25/6.

yep b and c r the correct got it! : )

2/3=10/15

1/5=3/15

10+3=13/15

2 13/15 is the answer