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Colt1911 [192]
3 years ago
5

What could be the next statement that Ivan makes his proof?

Mathematics
1 answer:
natali 33 [55]3 years ago
7 0

Answer: Choice A) Triangle ABC is similar to triangle ACD by AA

AA stands for Angle Angle. Specifically it means we need 2 pairs of congruent angles between the two triangles in order to prove the triangles similar. Your book might write "AA similarity" instead of simply "AA".

For triangles ABC and ACD, we have the first pair of angles being A = A (angle A shows up twice each in the first slot). The second pair of congruent angles would be the right angles for triangle ABC and ACD, which are angles C and D respectively.

We can't use AAS because we don't know any information about the sides of the triangle.

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Find the value of Sin^-1(tan π/4).
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Answer:

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Step-by-step explanation:

1. Remind that

\tan \left(\dfrac{\pi }{4}\right)=1.

Here you can use trigonometric table to find the value of \tan\left(\dfrac{\pi}{4}\right), or you can remind that \dfrac{\pi}{4}=45^{\circ} and \tan45^{\circ}=1 because special right triangle 45°-45°-90° is isosceles (with congruent oppposite and adjacent legs) and the ratio between the opposite leg and adjacent leg is equal to 1.

2. Now

\sin^{-1}\left(\tan\left(\dfrac{\pi}{4}\right)\right)=\sin^{-1}1=\dfrac{\pi}{2},

because

\sin\dfrac{\pi}{2}=1.

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3 years ago
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Step-by-step explanation:

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How many people were in the sample?<br><br><br><br> 45<br> 90<br> 5<br> 10
Nina [5.8K]
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The x’s represent just the people, and because the bottom line only represents time it doesn’t affect the amount of people.
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3 years ago
Read 2 more answers
Need help with this didn’t understand it
zaharov [31]

Answer:

Ok, the solution to the first one. See below.

Step-by-step explanation:

1>3-d\\\\\mathrm{Add\:}d\mathrm{\:to\:both\:sides}\\\\1+d>3-d+d\\\\\mathrm{Simplify:}\\\\1+d>3\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\1+d-1>3-1\\\\\mathrm{Simplify:}\\\\d>2

See attachment below.

Best Regards!

6 0
3 years ago
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