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labwork [276]
3 years ago
12

Given p || q and ∠4 = 130°, find the measure of angles 1, 2, 3, 5, 6, 7, and 8. Label on the diagram.

Mathematics
1 answer:
lana [24]3 years ago
7 0
1 = 130
2 = 50
3 = 50
5 = 130
6 = 50
7 = 50
8 = 130

1 and 4 are the same because of the vertical angle
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How many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 40% antif
Mariulka [41]

I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.

Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.

Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.

We want the concentration of antifreeze to be 40% in the new solution, so we need to have

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Solve for <em>x</em> :

0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)

0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24

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6 0
4 years ago
When do you not use the completing the square method
Nimfa-mama [501]

Answer:

You can use it in different ways

Step-by-step explanation:

sometimes it may be in correct as it is not a 100 percent way to get and answer

3 0
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Function f is defined by f(x)=3/2x+c. If f(6)=1, what is the value of f(c)?
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Answer:

C = - 8

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By using the elimination or substitution method. Find the point of intersection for the following pairs of straight lines. 3y +
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X=3, and Y=2
(3,2)!!!!!!
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