2 years ago

Exercises

Mathematics

1 answer:

lyudmila [28]2 years ago

3 0

Answer:

minimum 380 student tickets must be sold.

Step-by-step explanation:

c) 500x7=3500

intended =5400

5400-3500=1900

1900/5= 380

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How to find the number of sides of a polygon when given the interior angle sum

wariber [46]

Given:

Sum of interior angle

To find:

Number of sides of a polygon

Solution:

Using sum of interior angles formula:

$$S=(n-2) \times 180^{\circ}$

where "S" is the sum of interior angels and "n" is the number of sides of a polygon.

Divide by 180° on both sides.

$$\frac{S}{180^{\circ}}=\frac{(n-2) \times 180^{\circ}}{180^{\circ}}$

Cancel common factor 180°.

$$\frac{S}{180^{\circ}}=n-2$

Add 2 on both sides.

$$\frac{S}{180^{\circ}}+2=n-2+2$

$$\frac{S}{180^{\circ}}+2=n$

Switch the sides.

$$n=\frac{sum}{180^{\circ}}+2$

Therefore number of sides of a polygon is $n=\frac{sum}{180^{\circ}}+2$ .

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2 years ago

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