The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?

Mathematics

1 answer:

bixtya [17]2 years ago

3 0

For a polygon with n sides, the interior angles add up to:

(n - 2) x 180

an octagon has 8 sides:

(8 - 2) * 180 = 6 * 180 = 1080

from the question,1 side measures 2x while 7 sides measure x. this means

7x + 2x = 1080

9x = 1080

x = 1080/9

x = 120°

if x=120°

2x=2(120°)=240°

so, the seven smaller angles are 120°. while the one larger angle is 240°

You might be interested in

1. Which function represents exponential decay?

MatroZZZ [7]

Answer:

y= 7^-t

Step-by-step explanation:

Equation for exponential decay:

An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.

In this question:

First option 4 is elevated, so not exponential decay.

Second option:

$7^{-t} = \frac{1}{7^t} = (\frac{1}{7})^{t}$

$0 < \frac{1}{7} < 1$ , thus, the second option represents exponential decay.

7 0

2 years ago

What is tje equation of the function?

crimeas [40]

Answer:

It is relatively easy to determine whether an equation is a function by solving for y. When you are given an equation and a specific value for x, there should only be one corresponding y-value for that x-value. For example, y = x + 1 is a function because y will always be one greater than x.

Step-by-step explanation:

8 0

2 years ago

What happened to the tutor option :(

ElenaW [278]

Answer: wym

Step-by-step explanation:

6 0

2 years ago

Carlos walked to school on 14 of the 20 school days in February

Kruka [31]

70% all you have to do is divide the 14 by 20