Answer:
22.5 inches
Step-by-step explanation:
To find the unit rate, you divide the amount the plant grew by the amount of weeks. We learned that the plant grew 75 inches in 100 weeks, so we divide 75/100, to get 0.75. This means that the plant grows 0.75 inches per week, so in 30 weeks, it would grow 22.5 inches. This is calculated by multiplying 0.75 by 30 weeks.
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°
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