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3 years ago

Circle O and circle P are congruent. Given that arc AB is congruent to arc DE, what can you conclude from the diagram?

Mathematics

1 answer:

wlad13 [49]3 years ago

5 0

Answer:

Central angle is equal in both circles

And the two triangles inscribed in circle is congruent.

Step-by-step explanation:

We have been given the two circles which are congruent O and P.

Ab is congruent to DE

So, the central angle of two circles will be equal circles being congruent.

And the two triangles AOB and EPD are congruent

Radius of the congruent circle is equal

Hence, OB=PD

AB=DE

And ∠BOA=∠DPE

By SAS property ΔAOB ≅ΔEPD

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skelet666 [1.2K]

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2 years ago

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enot [183]

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

$h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\$

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Get the composite function h(g(x))

$h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x$

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Learn more on inverse functions here; brainly.com/question/14391067

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