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Alexxx [7]
3 years ago
13

A school is designed so that 5 hallways meet at the library in the shape of a regular pentagon. Find the measure of one of the e

xterior angles of the library.

Mathematics
2 answers:
viva [34]3 years ago
5 0

Answer:

72°

Step-by-step explanation:

The external angles of any regular polygon total 360 °.

Now, the formula for calculating an outside angle of the regular polygon is:

360° / n

Where n is the number of sides.

In the case of the regular pentagon it has 5 equal sides and consequently 5 equal exterior angles.

Substituting in the formula, we have

360° / 5 = 72 °

So the exterior angles of the regular pentagon measure 72 ° each.

See attached image.

Hope this helps!

marusya05 [52]3 years ago
4 0
We do this by dividing 360°<span> by the number of sides, which is 8. (b) Calculate the size of each interior angle in the regular octagon. We do this by subtracting the size of each exterior angle, which is 45°, from </span>180°<span>. A regular polygon has equal exterior angles of 72°</span>

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Annie needs $30 to buy a coat she has saved $12 and plans to work as a baby siter to earn $6 per hour which inequality shows the
tekilochka [14]

Answer:

The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.

explanation:

I'm bad with explaining things, but I'll try my best to explain why this is the right answer.

12 + 6n ≥ 30, so n ≤ 3

let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).

Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.

Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.

I hope this helps, and sorry if my explanation is hard to understand lol.

6 0
2 years ago
Eight times the difference of a number and 2 is the same as 3 times the sum of the number and 3. write and solve the equation
Zigmanuir [339]
X is the number:
Therefore, the equation is:
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Answer: the equation is: 8(x-2)=3(x+3), and the number is: 5
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