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andrey2020 [161]

3 years ago

10

If you pick a marble out of 6 red and 10 black, record its color, and return it to the bag 200 times, how many times can you exp

ect to pick a black marble?

1 answer:

MariettaO [177]3 years ago

4 0

10 out of 200 because there is 10 marbles and 200 times you reach and grab one it would be a 10 out of 200 chance

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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

-8z+(4.5)+3.5z+7y-1.5

bogdanovich [222]

Answer:

$\boxed{\sf{7y+3-4.5z}}$

Step-by-step explanation:

In order to combine like terms, you have to isolate x and y from one side of the equation.

$\sf{-8z+\left(4.5\right)+3.5z+7y-1.5}$

<u>First, thing you do is remove parentheses.</u>

$\Longrightarrow: \sf{-8z+4.5+3.5z+7y-1.5}$

<u>Solve.</u>

<u>Then, you combine like terms.</u>

$\Longrightarrow:\sf{-8z+3.5z+7y+4.5-1.5}$

<u>Add/subtract the numbers from left to right.</u>

-8z+3.5z=-4.5z

<u>Rewrite the problem down.</u>

$\Longrightarrow: \sf{-4.5z+7y+4.5-1.5}$

<u>Solve.</u>

4.5-1.5=3

$\Longrightarrow: \boxed{\sf{7y+3-4.5z}}$

<u>Therefore, the correct answer is 7y+3-4.5z.</u>

I hope this helps, let me know if you have any questions.

6 0

2 years ago

Which of the following is equivalent to log34

olasank [31]

hope it helps u...

plz mark as brainliest...

4 0

3 years ago

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) + 20?

Veronika [31]

The correct answer is the graph is shifted up by 20 units.

When a number is added to or subtracted from f(x), it translates the graph of f(x) either up or down or we can say it moves the graph of f(x) vertically up or down. Addition of a number moves it vertically up and subtraction moves it vertically down.

In this case 20 is being added to f(x), so this will shift the graph of f(x) 20 units up.

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3 years ago

Find measure of angle b

nordsb [41]

I cant see the problem

3 0

3 years ago