Simplify the expression:

Determine the measure of an interior angle of the named regular polygon. If a side of the polygon is extended, determine the sup

ladessa [460]

Answer:

A) Each interior angle of the Regular Hexagon = 120°

B)The measure of the supplementary angle of an interior angle is 60°

Step-by-step explanation:

Regular Hexagon : A 6 sided polygon which has all 6 interior angles as EQUAL is called a regular hexagon.

So, here are 6 interior angles of the hexagon are equal.

Also, Sum of all interior angles of an hexagon = 720°

Let us assume the each angle of the hexagon = m

⇒ m + m + m + m + m + m = 720°

or, 6 m = 720°

or, m = 720° / 6 = 120°

⇒ Each interior angle of the Regular Hexagon = 120°

Now, a side is extended to form an exterior angle.

Let us assume the measure of that exterior angle = k

⇒ k + m = 180 ° ( as k and m are SUPPLEMENTARY ANGLES)

or, k = 180 - 120 = 60 °

or, k = 60 °

Hence, the measure of the supplementary angle of an interior angle is 60°

6 0

3 years ago

Which statement is true out of the value of money that you save increases over time , the value of money remains constant over t

Nataly_w [17]

None is necessarily true.

Even though you have your money in an interest-bearing savings vehicle, its value (purchasing power) may actually decrease if the interest rate is not at least as great as the inflation rate.

In periods of inflation, the value of money decreases over time. In periods of deflation, the value of money increases over time. It tends to be difficult to regulate an economy so the value of money remains constant over time.

The present value of money is greater than the future value in inflationary times. The opposite is true in deflationary times.

_____
In the US in the middle of the last century, inflation rates were consistently 2-3% per year and savings interest rates were perhaps 4-6%. Money saved actually increased in value, and the present value of money was greater than the future value. These days, inflation is perhaps a little lower, but savings interest rates are a lot lower, so savings does not outpace inflation the way it did. The truth or falsity of all these statements depends on where and when you're talking about.

3 0

3 years ago

Triangle A'B'C' is the image of triangle ABC under a rotation about point Q.<br><br>

yan [13]

9514 1404 393

Answer:

True; about 120° CCW rotation about Q

Step-by-step explanation:

Triangle A'B'C' appears to be congruent to triangle ABC and about the same distance from point Q. The angle of rotation from ABC to A'B'C' appears to be about 120° counterclockwise when measured using a geometry program.

Triangle A'B'C' is the image of triangle ABC under rotation about 120° CCW about point Q.

_____

<em>Additional comment</em>

If choices of rotation angle are ±135° or ±165°, the best choice would be ...

135°

3 0

2 years ago

GIVING BRANIEST FOR #5

Flura [38]

Answer:

we need to see the other page or we cant solve it

Step-by-step explanation:

6 0

2 years ago

You select a marble without looking and then put it back. If you do this 3 times, what is the best prediction possible for the n

GenaCL600 [577]

Answer:

1 out of 3 times more likley but

Step-by-step explanation:

4 0

2 years ago