4 years ago

if the sum of the measures of the interior angles of a convex polygon is 1440° , how many sides does the polygon have?

1 answer:

6 0

S = sum of the interior angles
n = number of sides

S = 1440 is given. Let's solve for n.

S = 180*(n-2)
1440 = 180*(n-2)
1440/180 = 180*(n-2)/180
8 = n-2
8+2 = n-2+2
10 = n
n = 10

There are 10 sides. This is a decagon.

You might be interested in

Uncle Eddie asked Mckenna and Lara to order 54 new wheels for the 21 skateboards and bicycles in his repair shop. How many bicyc

Wewaii [24]

Answer:

15 bicycles and 6 skateboards.

Step-by-step explanation:

x+y = 21, since there are 21 total items in the shop

4 0

3 years ago

WHAT IS THE SQUARE ROOT OF 58!!!! 20 POINTSSSS

vaieri [72.5K]

The square root of 58 is:

$\sqrt{58} = 7.61577311$

Hope this helped! c:

4 0

3 years ago

We want to factor the following expression: (x+7)^2+2y(x+7)+y^2 which patter can we use to factor the espression? U and V are ei

Lostsunrise [7]

Answer:

A. (U+V)^2 or (U-V)^2

Step-by-step explanation:

5 0

3 years ago

Alice and her sister picked 57 and 23 roses respectively. How many roses should Alice give to her sister to have the same number

tino4ka555 [31]

If you add up 57+23=80 40+40=80 so 40 is the answer they will have the same amount Alice gets 40 and her sister gets 40

5 0

3 years ago

Nikolai has a jar filled with 120 marbles. he has 72 red marbles, 17 blue marbles, 13 green marbles, and 18 purple marbles. what

asambeis [7]

To find the probability of both of these occurring, you will multiply the probability of choosing a blue marble by the probability of choosing a purple marble (with no replacement after the first one).

Probability of choosing a blue marble: 17/120
Probability of choosing a purple marble: 18/119

17/120 x 18/119 = 3/140

You will have a 3/140 chance of both of these occurring.

4 0

3 years ago