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3 years ago

PLEASEEEEE I don't understand this question.

Mathematics

1 answer:

Yuliya22 [10]3 years ago

7 0

Answer:

262°

Step-by-step explanation:

The relationship between the angle at B (82°) and the arcs of the circle, CGF and CDF, is that the angle is half the difference of those arcs. Of course the sum of those arcs is 360°, since together they make a full circle. So. we have ...

CGF +CDF = 360

(CGF -CDF)/2 = 82

We need to solve this system of equations to find CGF.

Multiplying the second equation by 2 and adding the first, we get ...

2((CGF -CDF)/2) +(CGF +CDF) = 2(82) +(360)

2CGF = 524 . . . . . simplify

CGF = 262 . . . . . . divide by 2

The measure of arc CGF is 262°.

_____

<em>Alternate solution</em>

Here's another way to get there. Arc CDF is the supplement to angle B, so is ...

CDF = 180° -∠CBF

Of course, arc CGF is 360° minus arc CDF, so ...

CGF = 360° -(180° -∠CBF)

CGF = 180° +∠CBF . . . . . simplify . . . please note <em>this is a general solution</em>

Then ...

arc CGF = 180° +82° = 262°.

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Answer:

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Step-by-step explanation:

Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.

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2. $mBC=\frac{2-1}{5-8}=\frac{1}{-3}=-\frac{1}{3}$

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4. $AC=\sqrt{(3-2)^2+(2-5)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

5. $BC=\sqrt{(2-1)^2+(5-8)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

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$mAB=-\frac{1}{3}$

$mCD=3$

$mAB \times mCD = -\frac{1}{3} \times 3 = -1$

Hence CD ⊥ AB

Also

From Point 4 and point 5 above , we see that

AC = CB

Hence CD bisect AB at C, also CD ⊥ AB

There fore

CD is a perpendicular bisector of AB

Therefor option 1 is true

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Hope I could help you out! If my answer is incorrect, or I provided an answer you were not looking for, please let me know.
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Have a good one.

God bless!

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