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Brilliant_brown [7]
3 years ago
8

Simplify -2(5+-4s+6t)+-5s+t

Mathematics
1 answer:
Gennadij [26K]3 years ago
5 0
Solutions 

-2(5-4s+6t)+-5s+t 

-2(5-4s+6t)-5s+t 

-10+8s-12t-5s+t

 
 

-10+(8s-5s)+(-12t+t) 

-10+3s-11t 

∵ Hence Simplified ∴
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Answer:

\theta_1 \ n\ \theta_2 = 120, 240

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The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

Nonagon = 9\ sides

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Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

\theta = \frac{360}{9} =40

List the multiples of 40

\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320

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\theta = \frac{360}{6} =60

List the multiples of 60

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List out the common angles

\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320

\theta_2 = 60, 120, 180, 240, 300

\theta_1 \ n\ \theta_2 = 120, 240

This means that, only a rotation of 120, 240 will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

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