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marissa [1.9K]
3 years ago
13

The interior angle of a regular

Mathematics
1 answer:
Alexxx [7]3 years ago
7 0

Answer:

12

Step-by-step explanation:

The sum of the exterior and interior angles = 180°

let x be the measure of the exterior angle then interior angle is 5x and

5x + x = 180

6x = 180 ( divide both sides by 6 )

x = 30

The sum of the exterior angles of a polygon = 360°, thus

number of sides = \frac{360}{30} = 12

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3 years ago
PLEASE HELP ASAP 15 BRAINLY POINTS
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Answers

1) 1

2) 11

3) 4

4) D) Yes, the constant of variation is 3

Explanation

Q1

The slope of a line is given by

Slope = (change in y)/(change in x)

= (0 - -2)/(-4 - -6)

= 2/2

= 1

Q2

Slope = Δy/Δx

= (8 - -3)/(2 - 1)

= 11/1

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Q3

Y varies directly as X. This is written as,

Y ∞ X

Put and equal sign then introduce the constant of proportionality, K.

Y = KX

K = Y/X

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∴ Y = (1/3)X

Y = (1/3) × 12

Y = 4

Q4

32Y = 96X

Dividing both sides by 32,

Y = 96/32 X

Y = 3X

3 been the constant, Y varies directly as X.

So, the equation 32y = 96x is a direct variation.

Constant of variation = 3

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