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ipn [44]
3 years ago
15

Please help and show work if you can​

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer:

38. <1 = 38^{o}, <2 = 32^{o}, <3 = 110^{o}

39. <1 = 71^{o}, <2 = 28^{o}, and <3 = 81^{o}

Step-by-step explanation:

38. Sum of angles in a triangle = 180^{o}

So that;

38 + 110 + <2 = 180^{o}

148 + <2 = 180^{o}

<2 = 180^{o} - 148

<2 = 32^{o}

Thus,

<1 = 38^{o} (alternate angle principle)

<3 = 110^{o}

Therefore;

<1 = 38^{o}, <2 = 32^{o}, <3 = 110^{o}

39. <2 = 28^{o} (alternate angle principle)

So that;

sum of angles in a triangle = 180^{o}

<1 + <2 + 81 = 180^{o}

<1 + 28^{o} + 81 = 180^{o}

<1 + 109 = 180^{o}

<1 = 180^{o} - 109

   = 71^{o}

<1 = 71^{o}

<3 = 81^{o}

<1 = 71^{o}, <2 = 28^{o}, and <3 = 81^{o}

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Find all solutions to the following system of equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate with a graph.
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Answer:

The solution to the system is the pair (9, 6)

Step-by-step explanation:

Hi!

First, let´s write the system of equations:

-y² + 6y + x -9 = 0

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The solutions of the system are the pairs (x, y) that satisfy both equations.

Let´s take the second equation and solve it for x:

6y = x +27

Subtract 27 from both sides of the equation

6y - 27 = x

Now, we can replace x in the first equation and solve it for y:

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-(y - 6)² = 0

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(alternatively you can solve the quadratic equation using the quadratic formula).

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Please see the attached figure. The point where the curves intersect is the solution to the system.

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Step-by-step explanation:

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