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3 years ago

Help plz all my points

Mathematics

1 answer:

dimaraw [331]3 years ago

4 0

9514 1404 393

Answer:

A: ∠W'Z'Y' = 60°; angles aren't changed by rotation

B: W'(-3, 6), X'(9, 6), Y'(8, 1), Z'(-4, 1)

Step-by-step explanation:

<u>Part A</u>:

Angle WZY is the supplement of the given angle ZWX, so is ...

∠WZY = 180° -120° = 60°

Rotation about the origin (or anywhere else) does not change angles. The new parallelogram will have ...

∠W'Z'Y' = 60°

<u>Part B</u>:

The transformation right 2 and up 3 can be described by ...

(x, y) ⇒ (x +2, y +3)

Then the translated vertices are ...

W(-5, 3) ⇒ W'(-3, 6)

X(7, 3) ⇒ X'(9, 6)

Y(6, -2) ⇒ Y'(8, 1)

Z(-6, -2) ⇒ Z'(-4, 1)

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2 years ago

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Answer:

$12\sqrt{3}$ feet

Step-by-step explanation:

In a 30-60-90 triangle, the ratios of the side lengths of the triangle is $1:\sqrt{3} :2$

Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.

First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

$\frac{x}{3} * \sqrt{3} = \frac{\sqrt{3} x}{3} = 12$

Solving for x, we find that

$x=\frac{36}{\sqrt{3} } = \frac{36 * \sqrt{3} }{\sqrt{3} * \sqrt{3} } = \frac{36 \sqrt{3} }{3} = 12\sqrt{3}$

So the length of the original pole would be $12\sqrt{3}$ feet

If you found this answer helpful, please consider marking it as brainliest, or give it a thanks and a 5 star review. Thanks!

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2 years ago

What is the value of five in 3156

slava [35]

Answer:

Hey there!

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