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3 years ago

If the angle ZYX measures 45 degrees ,then arc XY measures 45 degrees. TRUE OR FALSE ?!

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

6 0

The picture in the attached figure

the correct question is
If the angle ZYX measures 45 degrees, then arc XZ measures 45 degrees. TRUE OR FALSE ?!

we know that
if angle ZYX measures 45 degrees
then
arc XZ=angle ZYX---------> by central angle

therefore
arc XZ=45°

the answer is
TRUE

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Answer:

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Step-by-step explanation:

Let

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y----> the radius of smaller circle

we know that

$\pi x^{2} +\pi y^{2}=80\pi$

$x^{2} +y^{2}=80$ -----> equation A

Remember that

$x=2y$ -----> equation B

substitute equation B in equation A and solve for y

$(2y)^{2} +y^{2}=80$

$4y^{2} +y^{2}=80$

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$y^{2}=16$

$y=4\ m$

Find the value of x

$x=2y$

$x=2(4)=8\ m$

therefore

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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