Sorry, it's late, and I'm a bad explainer.
The error is adding (2x-12) with x and 30. This is wrong because you are adding the angles inside the triangle and you are assuming that (2x - 12) is the unlabeled angle INSIDE the triangle, when it is the exterior angle/outside of the triangle.
A straight line is also 180°.
(2x - 12) + ? = 180
30 + x + ? = 180
If you look at the equations, and put parentheses around 30 + x, (30 + x) and (2x - 12) should be the SAME NUMBER. So you could set them equal to each other to find x. (or you could also look at the picture and see that they both need/are missing the same angle)
2x - 12 = 30 + x
x = 42
Now you plug 42 into the exterior angle equation
2(42) - 12 = 84 - 12 = 72°
Answer:
18.05 g
Step-by-step explanation:
The multiplier of the initial quantity is ...
(1/2)^(t/1690)
so, for t=250, this becomes ...
(1/2)^(250/1690) ≈ 0.902545
Then the quantity remaining of the initial 20 g is ...
(20 g)(0.902545) ≈ 18.05 g
Answer:
B $10.45
Step-by-step explanation:
Fist you find how much the 2 boxes of cracker cost
$3.50 * 2 = $7
Then subtract the amount of 2 crackers by the $0.80 coupon
$7 - $0.80 = $6.20
Then add that amount to the cost of a jar of peanut butter
$6.20 + $4.85 = $11.05
Then add that about for with the amount of a package of juice boxes
$11.05 + $2.40 = $13.45
Then subtract the total amount to the $3.00 coupon
$13.45 - $3.00 = $10.45
B $10.45 is your answer
