MATHEMATICS HIGH SCHOOL

The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?14
16
18
20

Answers

Answer 1

Answer:

Step-by-step explanation:

Let

S = sum of the measures of the interior angles of a polygon

n = number of sides of a polygon

The equation is

S = (n - 2) * 180°

Where,

S = 2,880°

S = (n - 2) * 180°

2,880° = (n - 2) * 180°

2,880° = 180°n - 360°

2,880° + 360° = 180°n

3,240° = 180°n

Divide both sides by 180°

n = 3,240° / 180°

n = 18

Answer 2

Answer:

Good evening everyone, the correct answer is 18 sides.

A polygon with 18 sides' interior angles will add up to 2880 degrees.

Have a blessed night.

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There are 18 rows of seats in the auditorium. There are 24 seats in each row. How many seats are in the auditorium in all?

Answers

Lets look at the info we have:-

18 rows
24 seats per row

Question:-
How many seats in all?

Solve:-

18 × 24 = 432
432 seats in the auditorium

CHECK OUR WORK:-

432 ÷ 18 = 24
We were RIGHT!!!

So, there are 432 seats in the auditorium.

Hope I helped ya!!! xD

u will multiply 18rows x 24seats = 432 seats

Can someone help me understand proofs?

Answers

Angles K and 3 are congruent because they’re vertical angles. Then, angles 3 and 1 are congruent. The supplements of angles 3 and 1 are congruent because supplements of congruent angles are congruent. Both lines are parralel because or the arrangement of the angles. That is the best way I can describe it.

Answer:

the answer is 1

Step-by-step explanation:

because I did 127+53=180

then you have to subtract 53 from each other 180-53=127

then you have to divide 127 and 127

then you go to gave you last answer is 1

A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how high on the building does the ladder reach?

Answers

Answer:

The height of the building is 16 ft.

Step-by-step explanation:

It is given that a painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building.

It means the base of the right angled triangle is 12 ft and the hypotenuse is 20 ft.

Let the height of the building be x.

Using Pythagoras theorem,

$hypotenuse^2=base^2+perpendicular^2$

$(200)^2=(12)^2+x^2$

$x^2=400-144$

$x^2=256$

Taking square root both sides.

$x=√(256)$

$x=16$

Therefore the height of the building is 16 ft.

the ladder would reach 16 feet on the building.
Pythagorean theorem helps find this answer.

the teacher said there was about a one in a million chance of obtaining a perfect score by guessing on a test where all questions were true or false. assuming the teacher was not exaggerating, about how many true-false questions were on this test?

Answers

would it be one million? That's my best guess

Is 2^7 the same as 2 x 7? Why or why not?

Answers

Answer: No

Explanation: In the first problem, 2 is a base and 7 is an exponent.

The 7 that is raised up means we multiply our base together seven times.

This means the same thing as 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 or 128.

On the other hand, 2 × 7 is 14.

It can also be thought of as 2 + 2 + 2 + 2 + 2 + 2 + 2 or 14.

Answer:

No, 2^7 is not the same thing as 2 x 7

Step-by-step explanation:

When you are doing 2 x 7 you multiply 7 by 2. For 2^7, you multiply 2 by 2 7 times.

2 x 7 = 2 x 7

2^7 = 2 x 2 x 2 x 2 x 2 x 2 x 2

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