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Amiraneli [1.4K]
3 years ago
10

He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: ,

Mathematics
1 answer:
Scrat [10]3 years ago
6 0
Answer:
measure of larger angle = 240 degrees
measure of each of the smaller angles = 120 degrees

Explanation:
In any polygon, the sum of measures of interior angles can be calculated using the following rule:
sum of interior angles = (n-2)*180 where n is the number of sides

Now, for an octagon, n=8, this means that:
sum of measures of interior angles = (8-2)*180 = 1080°

An octagon has 8 interior angles, one of which is twice the measure of the others.
Assume that each of the 7 smaller angles is x degrees and that the larger angle is 2x degrees

Computing their summation, we will find that:
x + x + x + x + x + x + x + 2x = 1080
9x = 1080
x = 120

This means that:
each one of the smaller angles = x = 120 degrees
the larger angle = 2x = 2 * 120 = 240 degrees

Hope this helps :)
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Give me a real answer or else
ElenaW [278]

Answer:

1. scholars team is 15 %, student gov. 0.08%, band 24%,  sports 34 %, fun raising is 17%

2. athletics is 30%, gov is 0.07 %, band is 21%, fund raising is 15%, scholars team is 14%

Step-by-step explanation:

7 0
3 years ago
Monica deposits ​$400 into a savings account that pays a simple interest rate of 4.4​%. Paul deposits ​$500 into a savings accou
DIA [1.3K]

Answer:

From the above calculation it is clear that The interest earn by Monica is less than the The interest earn by Paul , so Monica is wrong

Step-by-step explanation:

Given as :

The principal amount deposited by Monica in account = $ 400

The rate of interest = 4.4 % at simple interest

The time period = 1 years

Let The interest earn by Monica = $ x

<u>From simple interest </u>

Simple Interest = \dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}

Or, $ x = \dfrac{\textrm $ 400\times \textrm 4.4\times \textrm 1}{100}

Or,  x = $ 17.6

So, The interest earn by Monica =  x = $ 17.6

Again

The principal amount deposited by Paul in account = $ 500

The rate of interest = 3.6 % at simple interest

The time period = 1 years

Let The interest earn by Paul = $ y

<u>From simple interest </u>

Simple Interest = \dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}

Or, $ y = \dfrac{\textrm $ 500\times \textrm 3.6\times \textrm 1}{100}

Or,  y = $ 18

So, The interest earn by Paul =  y = $ 18

∴ As The interest earn by Paul > The interest earn by Monica

Hence from the above calculation it is clear that The interest earn by Monica is less than the The interest earn by Paul , so Monica is wrong Answer

8 0
3 years ago
Sam missed a question on his Algebra Test. He wrote his work down. Where is his error in solving 3x + 2 = 14?
Snowcat [4.5K]

Answer:

10/3

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

3

x

+

4

−

4

=

14

−

4

3

x

=

10

Step 2: Divide both sides by 3.

3

x

3

=

10

3

3 0
3 years ago
Read 2 more answers
2y+8x=1 in slope intercept form
anzhelika [568]
The slope-intercept form is y = mx + b.
Following that kind of form becomes
2y = -8x + 1
y =(-8x + 1)/2
y = -4x + 1/2

Hope this helps <span>✌️</span>☺️✌️
6 0
3 years ago
Solve the proportion x/6 = 4/5
luda_lava [24]

Answer:

x/6 = 4/5

x(5) = 6(4)

5x=24

x=24/5

Let me know if this helps!

3 0
3 years ago
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