An interior angle of a regular convex polygon is 135 degrees. how many sides does the polygon have?

The formula for the sum of the interior angles of a polygon is (n-2) *180, where n is the number of sides. Then you would divide the sum by the number of sides to find what one angle is.

Knowing the angle you can calculate n ( number of sides):

(n-2) * 180 / n = 135

Use distributive property:

180n - 360 / n = 135

Multiply both sides by n:

180n - 360 = 135n

add 360 to both sides:

180n = 135n + 360

Subtract 135n from both sides:

45n = 360

Divide both sides by 45:

n = 360 / 45

n = 8

The polygon has 8 sides.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

a

b

d

step-by-step explanation: