Answer:

Step-by-step explanation:
Given
and 
Required
The relationship between them
and 
From the question, we understand that
and
are supplementary
Supplementary angles add up to 180.
So, the relationship between
and
is:

975 x 1.01 = 984.75
984.75 x 1.09 = 1073.38
<h3>3
Answers: Choice D, Choice E, Choice F</h3>
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Explanation:
The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.
Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.
Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.
We can verify this algebraically. For instance, if we weren't sure point E was a solution or not, we would plug the coordinates into the inequality to get...
6x - 10y ≥ 9
6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)
30 - 20 ≥ 9
10 ≥ 9 ... this is a true statement
Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.
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I'll show an example of something that doesn't work. Let's pick on point A.
We'll plug in (x,y) = (-1,1)
6x - 10y ≥ 9
6(-1) - 10(1) ≥ 9
-6 - 10 ≥ 9
-16 ≥ 9
The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.
-2.6 I think is the correct answer
You will want this equation to be in y=mx+b, because you already have the slope and y-intercept. X will be the number of days she has had the plant, and Y will be the height of the tree, because it is the variable being affected by the X. The slope, or the M, is 2.5 because this is the number of centimeters the tree grows per day. The y-intercept is 5, because this is the height of the tree originally. So, the equation is Y=2.5X+5. To solve the number of days Margo will have had the plant, plug in 65 (the height of the plant after a certain amount of days) into the Y variable and solve for X. So, 65=2.5X+5. Subtract 5 from both sides to get 60=2.5X, then divide both sides by 2.5 to get X=24. So, she will have owned the plant for 24 days.