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Molodets [167]
3 years ago
6

If the individual interior angle of a regular polygon is 120, what is the exterior angle.

Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0

Answer:

60

Step-by-step explanation:

Interior and exterior angle from a linear pair.

Let the exterior angle = x

x + 120 = 180

        x = 180 - 120

x = 60

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3 years ago
Four times an integer deceased by 3 is 13 what is the integer<br>​
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Answer:

i = 4

Step-by-step explanation:

answer this backward

13 + 3 = 16

16 divided by 4 = 4

<u>proof:</u>

4 x 4 = 16

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Step-by-step explanation:

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Desiree drove north for 30 minutes at 50 miles per hour. Then, she drove south for 60 minutes at 20 miles per hours. How far and
mylen [45]

Answer:

Step-by-step explanation:

The scenario is illustrated in the attached photo.

Desiree drove north for 30 minutes at 50 miles per hour.

Distance = speed × time

Distance travelled by Desiree to the north is 50 × 30 = 1500 miles

Distance travelled by Desiree back from the north and to the south is

60 × 20 = 1500 miles

She started from south and drove 1500 miles towards the north. She returned by driving 1200 miles again towards south . Distance of Desiree from where she started will be 1500 - 1200 = 300 miles.

She is 300 miles from her starting position and she is in the southern direction.

5 0
3 years ago
2 Find an equation in the form y = ax? + bx + c for the parabola passing through the points. (3. – 56). (-1, - 16). (-2,- 51)
ehidna [41]

Answer:

Step-by-step explanation:

Many ways to do this in the details.

All start by writing three equations with three unknowns

<em>-56 = a(3²) + b(3) + c</em>

-56 = 9a + 3b + c          1)

<em>-16 = a(-1²) + b(-1) + c</em>

-16 = a - b + c               2)

<em>-51  = a(-2²) + b(-2) + c </em>  

-51  = 4a - 2b + c           3)

subtract equation 2 from equation 1

-40 = 8a + 4b

--10 = 2a + b

b = -10 - 2a                 4)

subtract equation 3 from equation 1

-5 = 5a + 5b

-1 = a + b                   5)

substitute 4 into 5

-1 = a + (-10 - 2a)

-1 = - a - 10

a = - 9

substitute a into 4

b = -10 - 2(-9)

b = 8

substitute a and b into any of 1, 2, or 3

-51  = 4(-9) - 2(8) + c

-51  = -36 - 16 + c

c = 1

y = -9x² + 8x + 1

We can use a plotting calculator to confirm our result.

7 0
3 years ago
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