All categories

2 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]2 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]2 years ago

3 0

Answer:

Step-by-step explanation:

The ASP of a hexagon is 720 degrees

You might be interested in

Can someone write the standard form for this?

evablogger [386]

Answer:

try 10x + y = 9/7

Step-by-step explanation:

3 0

2 years ago

Find the value of x and y

EleoNora [17]

Answer:

the value is x is 8 and y is 7

7 0

2 years ago

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

PilotLPTM [1.2K]

Answer:

105th term of given series is

$a_n=\dfrac{105}{2}$

Step-by-step explanation:

Given series is

$\dfrac{1}{2},\ 1,\ \dfrac{3}{2},\ 2,\ \dfrac{5}{2}.....$

As we can see,

$\textrm{First term},a_1=\dfrac{1}{2}$

Also,

$1-\dfrac{1}{2}=\dfrac{3}{2}-1=2-\dfrac{3}{3}=.....=\dfrac{1}{2}$

hence, we can say given series is in arithmetic progression,

with common difference,

$d=\ \dfrac{1}{2}$

As given in question the nth term in A.P is given by

$a_n=a_1+(n-1)d$

since we have to find the 105th term, so we can write

$a_{105}=\dfrac{1}{2}+(105-1)\dfrac{1}{2}$

$=\dfrac{1}{2}+\dfrac{104}{2}$

$=\dfrac{105}{2}$

Hence, the 105th term of given series of A.P is $\dfrac{105}{2}$ .

7 0

2 years ago

You make $32,000.00 .Using the 20% to 25% range, calculate the least and greatest amount you should spend on housing.

Karolina [17]

Answer: im am not sure but try your best

Step-by-step explanation:

5 0

2 years ago

How do you do this math

Basile [38]

Answer: y = -3x - 6

Step-by-step explanation:

One way to write a <u>linear equation</u> is with slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope, and b is the y-intercept.

Thus, the equation is y = -3x - 6

Hope it helps :) and let me know if you are confused anywhere.

8 0

2 years ago

Read 2 more answers