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Hitman42 [59]
3 years ago
8

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]3 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°

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Wewaii [24]
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2 years ago
A rectangular prism has a length of 5 meters, a width of 6 3/4 meters, and a height of 3 1/2 meters. What is the volume of the p
kirza4 [7]

Answer:

<h2>118.13 m³</h2>

Step-by-step explanation:

Given,

Length ( l ) = 5 meters

Width ( w ) = 6 \frac{3}{4} meters

Height ( h ) = 3  \frac{1}{2} meters

Now, Let's find the volume of rectangular prism :

volume \:  = l \:  \times  \: w \:  \times  \: h

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Hope this helps..

Best regards!!

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6 0
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