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Vitek1552 [10]
3 years ago
7

Determine the center for: x^2 + y^2 − 8x + 6y + 12 = 0

Mathematics
2 answers:
Anit [1.1K]3 years ago
7 0

Answer:

1/3

Step-by-step explanation:

Just divide

levacccp [35]3 years ago
3 0
your answer should be (4,-3)
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Step-by-step explanation:

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ABCD is a rectangle. The measure of angle BCE is 4x-23 and the angle measure of angle DCE is 5+5x. Find the measure of angle BEC
Temka [501]
<h2>Explanation:</h2><h2></h2>

The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:

\angle BCE=\beta \\ \\ \angle DCE=\theta

Every internal angle of any rectangle measures 90 degrees, so:

\beta +\alpha=90 \\ \\ (4x-23)+(5+5x)=90 \\ \\ \\ Isolating \ x: \\ \\ (4x+5x)+(5-23)=90 \\ \\ 9x-18=90 \\ \\ 9x=108 \\ \\ x=\frac{108}{9}=12

So:

\beta=4x-23=4(12)-23=25^{\circ}

So the measure of angle BEC can be found as follows:

We know that triangle ΔCEB is an isosceles triangle because the diagonals of any rectangle measure the same. So

\angle EBC=\beta

The sum of internal angles of any triangle add up to 180 degrees, so:

\beta + \beta+\angle BEC=180^{\circ} \\ \\ 2\beta+\angle BEC=180^{\circ} \\ \\ \angle BEC=180^{\circ}-2\beta \\ \\ \angle BEC=180^{\circ}-2(25^{\circ}) \\ \\ \angle BEC=180^{\circ}-50^{\circ} \\ \\ \boxed{\angle BEC=130^{\circ}}}

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3 years ago
In triangle ABC a=39 m,b=27 m and c = 42 m. Find the area
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Step-by-step explanation:

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3.45g+ 0.06kg+ 0.67g+690mg+2dg
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3.45g+0.06kg+0.67g+690mg+2dg

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