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3 years ago

Tanya’s rotation maps point K(24, –15) to K’(–15, –24). Which describes the rotation?

Mathematics

2 answers:

VARVARA [1.3K]3 years ago

6 0

Answer:

90 degree clockwise rotation.

Hope this helps!

harina [27]3 years ago

4 0

90 degree rotation clockwise : (a,b) --> (b,-a)
so... (24,-15) --> (-15,-24) is a 90 degree clockwise rotation

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What is the measure of z?

Ymorist [56]

Solving a system of linear equations, we conclude that the measure of side Z is 2√13

<h3>How to find the measure of side Z?</h3>

Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.

In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.

x^2 = y^2 + 4^2

z^2 = y^2 + 9^2

(4 + 9)^2 = z^2 + x^2

We want to solve that for z.

Now, the second equation can be rewritten to:

y^2 = z^2 - 9^2

Now let's replace the first equation into the third one, so we get:

(4 + 9)^2 = z^2 + (y^2 + 4^2)

Now we can replace y^2 by z^2 - 9^2

(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)

Now we can solve this:

(13)^2 = z^2 + z^2 - 9^2 + 4^2

(13)^2 + 9^2 - 4^2 = 2*z^2

104/2 = z^2

52 = z^2

√52 = z

√(4*13) = z

√4*√13 = z

2√13 = z

We conclude that the measure of side Z is 2√13

If you want to learn more about systems of equations:

brainly.com/question/13729904

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2 years ago

DUE NOW

I am Lyosha [343]

The answer of question no.1 and 2 is 1.

Well,the question of 1 and 2 are same.

Look at the attached picture

The answer of question no 3 is 7.

Hope it helps...

Good luck on your assignment

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3 years ago

What is 12 2/3 as an improper fraction

BaLLatris [955]

Answer:

$\dfrac{38}{3}$

Step-by-step explanation:

$12\dfrac{2}{3} =$

$= 12 + \dfrac{2}{3}$

$= \dfrac{12}{1} + \dfrac{2}{3}$

$= \dfrac{12}{1} \times \dfrac{3}{3} + \dfrac{2}{3}$

$= \dfrac{36}{3} + \dfrac{2}{3}$

$= \dfrac{38}{3}$

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Step-by-step explanation:

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nika2105 [10]

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