a company is manufacturing a gear in the shape of a regular polygon. the measure of each angle of the gear is 162º. how many sides does the gear have? ?

Gear have 20 sides .

Step-by-step explanation:

Given : A company is manufacturing a gear in the shape of a regular polygon. The measure of each angle of the gear is 162º.

To find : How many sides does the gear have.

Solution : We have given that  each angle of polygon = 162 degree.

By the property of polygon :

Each angle of polygon = .

Where, n is number of sides polygon .

Plugging the values,

162 ° =  .

On simplify right side , we can write it as:

162  °  = .

162  °  =  180 -.

On subtracting by 180 both side.

162 -180 = -.

-18°  = - .

On multiplying by n both side

-18° × n = -360°

On dividing by - 18 by both side

n = .

n = 20 .

Therefore , gear have 20 sides .

false

step-by-step explanation:

4y - 6 + 4y^2 - 9

before simplifying this contains 4 terms

after simplifying

4y -15 + 4y^2

it contains 3 terms

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1