All categories

3 years ago

If the sum of interior angles measures of a polygon is 720 degrees, how many sides does the polygon have?

Mathematics

2 answers:

MAVERICK [17]3 years ago

6 0

Answer:

The polygon has six (6) sides.

Step-by-step explanation:

We recall that the formula for the sum of the interior angles in a polygon is:

180° (n - 2)

Where n = number of sides

Since from the sum of the interior angles of the polygon is 720°

Then:

720° = 180° (n - 2)

We then solve for n

Divide both sides by 180°

720°/180° = 180° (n - 2)/180°

4 = n - 2

n = 4 + 2

n = 6

Therefore the number of sides of the polygon is 6 making it a hexagon.

Alenkasestr [34]3 years ago

3 0

Answer:

Step-by-step explanation:

The ASP of a hexagon is 720 degrees

You might be interested in

In a normal distribution, a data value located 0.8 standard deviations below the mean has Standard Score: z =

Svetlanka [38]

Answer:

z= a letter before y

Step-by-step explanation:

7 0

3 years ago

If John drove 210 miles in 3 hours, how far will he have driven in 4.5 hours?

VashaNatasha [74]

Answer:

3hours and 15 mins

Step-by-step explanation:

210 divied by 3=70

70=per hour

4 hours=280

70 divied by 2= 35

.5=35

280+35=315

315 miles in 4.5 hours

3 0

3 years ago

Six boys are comparing their heights. Andy is taller than Dan but shorter than Ethan. Bill is taller than Ethan and Frank. Frank

Alexxx [7]

List of boys from tallest to shortest is: Bill, Frank, Ethan, Andy, Dan, Cory

<h3>Solution:</h3>

Given that Six boys are comparing their heights

The six boys are Andy, Dan, Ethan, Bill, Frank, Cory

To find: List the boys from tallest to shortest

Andy is taller than Dan but shorter than Ethan

So the arrangement goes like this:

Ethan

Andy

Dan

Bill is taller than Ethan and Frank:

So Bill is taller than ethan. Thus the arrangement from tall to short is made as:

Bill

Ethan

Andy

Dan

Also bill is taller than frank. So frank can be placed anywhere below bill

But given that Frank is taller than Ethan. So frank can be placed above ethan

Now the arrangement goes like this:

Bill

Frank

Ethan

Andy

Dan

Cory is shorter than Dan.

So cory can be placed below Dan.

Thus final arrangement from tallest to shortest boys are:

Bill

Frank

Ethan

Andy

Dan

Cory

5 0

3 years ago

A 8 ft tall tent standing next to a lawn ornament casts a 4 ft shadow. If the lawn

Korvikt [17]

Answer:

3ft

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Looking for the answer to this

SashulF [63]

<h2>Required Answer :-</h2>

Given system of linear equations are ,

x + y = 2
-3x + y = 2

And we need to find the Solution of the linear equation . So let's Firstly number the equations .

$\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}$

→ Multiplying equⁿ (i) by 3 ,

=> 3 ( x + y ) = 2*3

=> 3x + 3y = 6

→ Adding the two equations ,

=> 3x + 3y -3y + y = 6 + 2

=> 4y = 8

=> y = 8/4

=> y = 2

→ Put y = 2 in (i) ,

=> x + y = 2

=> x + 2 = 2

=> x = 2- 2

=> x = 0

<h3>★ Hence the required solution is ( 0 , 2 ) .</h3>

7 0

3 years ago