on average 1 1/3 bushels od seed are needed to plant 1 arce of wheat. how many bushels of seed would be required to pay it arces
1 answer:
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<h3>Answer: C) 12</h3>
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Explanation:
Refer to the diagram below. I'm using the points A,B,C,D,E to help label the triangles, and to label the angles as well.
For now, let's focus on triangle DEC.
The top most angle is given as D = 65. Note how the angles D and E are opposite the congruent lines (marked with the red single tickmarks). This means that angles D and E are congruent to one another. So E = 65 as well. This is shown in the diagram below.
For now we don't know what angle C is, so we'll call it y. More specifically, we'll make y the measure of angle DCE.
For any triangle, the three angles always add to 180
y+65+65 = 180
y+130 = 180
y = 180-130
y = 50
So angle DCE is 50 degrees.
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Now we move onto triangle ABC.
Because angles DCE and ACB are vertical angles, this makes angle ACB 50 degrees also. Effectively, anywhere you see a 'y' in the diagram below, replace it with 50.
So triangle ABC has the three angles y = 50, y = 50 and 7x-4
We can solve for x like so
y+y+(7x-4) = 180
50+50+(7x-4) = 180
7x+96 = 180
7x = 180-96
7x = 84
x = 84/7
x = 12
This points to choice C as the final answer.
The statement is false, as the system can have no solutions or infinite solutions.
<h3>Is the statement true or false?</h3>
The statement says that a system of linear equations with 3 variables and 3 equations has one solution.
If the variables are x, y, and z, then the system can be written as:
Now, the statement is clearly false. Suppose that we have:
Then we have 3 parallel equations. Parallel equations never do intercept, then this system has no solutions.
Then there are systems of 3 variables with 3 equations where there are no solutions, so the statement is false.
If you want to learn more about systems of equations:
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