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3 years ago

The measure of an inscribed circle of an angle is the measure of the intercepted arc

Mathematics

1 answer:

Andre45 [30]3 years ago

4 0

Answer:

(the statement does not appear to be true)

Step-by-step explanation:

I don't think the statement is true, but you CAN compute the intercepted arc from the angle.

Note that BFDG is a convex quadrilateral, so its angles sum to 360. Since we know the inscribed circle touches the angle tangentially, angles BFD and BGD are both right angles, with a measure of 90 degrees.

Therefore, adding the angles together, we have:

alpha + 90 + 90 + <FDG = 360

Therefore, <FDG, the inscribed angle, is 180-alpha (ie, supplementary to alpha)

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Which equation represents the circle described? (in picture)

Sedaia [141]

You are right. In circle equation we have =r² so the correct answer will be C od D. But we have to calculate the center of a circle.

$x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24$

Complete the square:

$x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2$

And we have:

$(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
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So the answer is C (the same left side of equation).

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3 years ago

Identify the equation in slope-intercept form for the line that has the given slope and contains the given point.

Kisachek [45]

The answer I got was y=-12x+43.

Hope this helps!

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2 years ago

If the train that megan is riding covers 80miles in 2hours how fast is the train traveling

Gelneren [198K]

The Train Is Running 40 MPH

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3 years ago

Keisha, Felipe, and Manuel sent a total of 100 text messages during the weekend. Keisha sent 8 more messages than Felipe. Manuel

Karo-lina-s [1.5K]

Answer:

Felipe = 23 messages

Keisha = 31 messages

Manuel = 46 messages

Step-by-step explanation:

Keisha = K

Felipe = F

Manuel = M

=> There are a total of 100 messages.

=> K sent 8 +F => K = 8 + F

=> M sent 2 * F => M = 2F

=> F = F

=> 8 + F + 2F + F = 100

=> 8 + 4F = 100

=> 8 - 8 +4F = 100 -8

=> 4F = 92

=> 4F/4 = 92/4

=> F = 23

So, Felipe = 23 messages.

Keisha = 8 + F = 8 + 23 = 31 messages.

Manuel = 2F = 2* 23 = 46 messages.

46 + 31 + 23 = 77 + 23 = 100 messages.

So, the answer is correct.

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3 years ago

Find X (Its a circle question, PLEASE HELP)

mario62 [17]

Step-by-step explanation:

Since angles in the same segment are equal, Angle ABC (x) = Angle AOC.

Since Angles AOC and COD are supplementary, Angle AOC = 180° - 130° = 50°

Therefore x = 50°.

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3 years ago