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makvit [3.9K]
3 years ago
7

What is the sum of the measure of the interior angles of a regular polygon if each exterior angle measures 72 degrees

Mathematics
2 answers:
valentina_108 [34]3 years ago
7 0

Answer: it’s 540°

Step-by-step explanation:

Pani-rosa [81]3 years ago
4 0
Sum of interior and exterior angle is 180 so

Interior angle =180−72=108

Now we need to find the no of sides of the polygon= n We know that interior angle of n-sides is given by

(n−2)×180n

We have

(n−2)×180=108n

or

180n−360=108n

or

72n=360

n=5 sides so there are 5 angles each of 108 degrees Sum of the interior angles=108+108+108+108+108=540.....
<span>To find the measure of each exterior angle of a regular polygon, you just divide 360 degrees by the number of sides. 
</span>
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An architect is designing an office building with n floors that will have an FM radio antenna 15.85 m tall on its roof. Each flo
sveticcg [70]

Answer:

h=3.9x+15.85 meters

Step-by-step explanation:

Let's say that the height of the floor just before the roof to the highest point of the roof is also 3.9 m, perhaps, we have an almost flat roof

Since the FM radio antenna is fixed on top of roof, the total height is that of previous floors and the antenna

Taking the building to have x number of floors with each floor having 3.9 m height, the function of height will be

h=3.9x + 15.85 meters

8 0
4 years ago
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Harman [31]
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3 years ago
The following table gives the science scores and times spent studying for 10 students:
AveGali [126]
There appears to be a positive correlation between the number of hour spent studydng and the score on the test.

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Plotting the graph with the time studying on the x-axis (independent) and the score on the y-axis (dependent) gives you the graph shown.  You can see in the image that there seems to be a positive correlation; the data seem to generally be heading upward.

8 0
3 years ago
1.3z+1.5=5.4<br> Please find Z. You dont have to explain, unless you want to. Thankss
Usimov [2.4K]

3

Step-by-step explanation:

1.3z + 1.5 = 5.4

Make z the subject in the equation by making it stand alone, by so doing, the transferred figures will have a change in sign i.e if it's a negative sign that's gonna be transferred it will change into a positive sign and vice versa.

The equation will this be; 1.3z = -1.5 + 5.4

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Divide both sides by the co-efficient of the unknown figure. In other words, you'll divide both sides by the number beside the unknown letter.

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7 0
3 years ago
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tiny-mole [99]

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3 years ago
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