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Lera25 [3.4K]
2 years ago
12

MATHEMATICAL CONNECTIONS The two polygons are similar. Find the values of x and y.

Mathematics
2 answers:
xxTIMURxx [149]2 years ago
5 0

Answer:

x = 35.25

y = 20.25

Step-by-step explanation:

Hope this will help

slava [35]2 years ago
4 0

Answer:

  • x = 35.25
  • y = 20.25

Step-by-step explanation:

The figures are similar.

<u>Corresponding sides have same ratio:</u>

1)

  • 18/24 = (x - 6)/39
  • x - 6 = 39*3/4
  • x - 6 = 29.25
  • x = 35.25

2)

  • 18/24 = y/27
  • y = 27*3/4
  • y = 20.25
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Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha
GalinKa [24]

Answer:

\theta_1 \ n\ \theta_2 = 120, 240

Step-by-step explanation:

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

Hexagon = 6\ sides

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

<u>Hexagon</u>

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

List the multiples of 60

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

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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3 years ago
Is -4 less than or greater than -6?
Aleks [24]

Answer:

-4 is greater then -6

Step-by-step explanation:

-4 is closer to 0

3 0
2 years ago
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When i am solving for the sides of a right triangle when will i use trigonometric functions
AnnZ [28]

Answer:

The ratios of the sides of a right triangle are called trigonometric ratios. We need to use trigonometric functions to find them when we don't have any angle other than 90 degree shown.

Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan). These are defined for acute angle.

However when we have one angle given with the 90 degree we can deduct without trigonometry but we would use all angles to find the hypotenuse or all angles to find the side of a right angle.

Alternatively, we cna do this with one given angle but if we have one, we might as well work out the other one without trigonometry and do a division with Sin = 25 (sin 35) sin 90  / sin 55

is one example when given the base 25ft that would find the hypotenuse or the length of elevation for buildings looking down or zip-wire questions.

Step-by-step explanation:

       A

       |  \

       l     \

4cm|        \ 5cm

       |          \

       |            \

   B | -  -  -  -  \ C      

          3cm

Suppose we wanted to find sin( A) in△ABC    

(The height of the wall in elevation questions would be used above the base shown 3cm at the start) Sin = 3 (sin 35)° sin 90°  / sin 55° to find the height side (4).

Sine is defined as the ratio of the opposite to the hypotenuse

sin(A) =  hypotenuse          ​= AB/BC        = 3/5

             / opposite

                                           

​

​

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3 years ago
1/2and 1 two fractions with a sum
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ivann1987 [24]

Answer:

-11.5

Step-by-step explanation:

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3 years ago
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