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olga55 [171]
3 years ago
11

Help! What’s the answer.. It’s a Khan Academy Problem

Mathematics
1 answer:
mote1985 [20]3 years ago
4 0

Answer:

Choice B. only Shota

Step-by-step explanation:

16z^2 - 40z

the greatest common value is 8z

8z (2z^2 -5)

24z^2 - 40z

the greatest common value is 8z

8z (3z^2 -5)

\frac{8z (2z^2 -5)}{8z (3z^2 -5)}

8z / 8z = 1

= \frac{8z}{8z} x \frac{2z^2 -5}{3z^2 -5} = 1 x \frac{2z^2 -5}{3z^2 -5} = \frac{2z^2 -5}{3z^2 -5} (Shota)

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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
Select all that apply.
Nina [5.8K]

Step-by-step explanation:

In parallelogram Both pairs of opposite sides are parallel

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3 years ago
Francesca has 63 cm of ribbon. She will cut it into two pieces so that the longer piece is 15 cm longer than the shorter piece.
Pie

Answer:

48

Step-by-step explanation:

63-15=48

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Find the measure of each interior angle and each exterior angle of the indicated regular polygon. 25-gon
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Each exterior angle of a regular 25-gon = 360/25 = 14.4 deg. and each interior angle= 165.6 deg.

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2X=Y

2 because it is two dollars per pound.
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