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kifflom [539]
3 years ago
5

Could someone help out maybe? help would be appreciated!

Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Answer:

i think b

Step-by-step explanation:

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A triangular pyramid has these dimensions.
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Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°
jasenka [17]

Answer:

The sum of all the external angles of a triangle is 360°.

Step-by-step explanation:

Let there are n sides in a polygon.

So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.

The measure of external angle corresponding to ∠i1,  ∠1= 180°-∠i1,

The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,

Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3  and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

                 =540°=180°

                 =360°.

Hence, the sum of all the external angles of a triangle is 360°.

5 0
3 years ago
PLEASE HELP..... I WILL GIVE BRAINLIEST!!
Yakvenalex [24]
For the first part:

Every shirt she grabs, will cost her dollars, so if she grabs 3 shirts, then the cost of the shirts is:

12+12+12=3(12)

With the same rationale, if she grabs 2 pairs of jeans, the cost of the jeans is:

19+19=2(19)

So, her total is:

3(12)+2(19)

If you subtract 3 from the total, then the expression is:

3(12)+2(19)-3=36+38-3=71

For the second part:

If she's paying 3 less for each shirt, then the cost of 3 shirts will become:

(12-3)+(12-3)+(12-3)=3(12-3)

In the same fashion, for the two jeans:

(19-3)+(19-3)=2(19-3)

So the expression for the total cost is:

3(12-3)+2(19-3)=36-9+38-6=59

For number three:

The amounts are different because the cost of the total purchase is different than the cost of each element that makes up the total purchase.

For number four:

If you're the owner, you want to give the smallest amount of discount (the one in part 1/a).

So you could clarify by saying there's 3 dollars of the TOTAL purchase's cost.
6 0
4 years ago
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