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Flauer [41]
3 years ago
10

The measure angles of a hexagon are 4x,5x,6x,7x,8x,and9x calculate the size of the smallest angle

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0

Answer:

Step-by-step explanation:

Sum of interior angles of polygon = (n -2) * 180

Sum of interior angles of hexagon =  (6-2)*180 = 4* 180 = 720

4x + 5x +6x +7x + 8x +9x = 180

39x = 180

x = 180/39

x=4.61

Smallest angle = 4x = 4*4.61  = 18.44

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goblinko [34]

Answer:

Only choices C and D are solutions

Step-by-step explanation:

6x + 3y = -15

y = -2x - 5

6x + 3y = -15

6x + 3(-2x - 5) = -15

6x - 6x - 15 = -15

0 = 0

Since 0 = 0 is a true statement, both equations of this system are the same equation and represent a single line on the coordinate plane.

We need to check each choice in just one equation.

Let's use the second equation.

y = -2x - 5

A.

(2, 7)

7 = -2(2) - 5

7 = -4 - 5

7 = -9   False

Not a solution

B.

(5, 0)

0 = -2(5) - 5

0 = -10 - 5

0 = -15     False

Not a solution

C.

(-3, 1)

1 = -2(-3) - 5

1 = 6 - 5

1 = 1   True

Solution

D.

-13 = -2(4) - 5

-13 = -8 - 5

-13 = -13    True

Solution

Answer: Only choices C and D are solutions

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3 years ago
Please help me tahank you so much
STALIN [3.7K]
We know that a triangle adds up to 180 degrees.

Here, 130 is a vertical angle so on the opposite side the triangle makes, it is also 130. Then we could add 130 to 25

130 + 25 = 155

Now let’s subtract this from 180.

180 - 155 = 25.

X is a supplementary angle to 25 so subtract 25 from 180.

180 - 25 = 155

X = 155.
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