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3 years ago

What is the SUM of the angle measures in a nonagon (9 sides)?

Mathematics

1 answer:

GenaCL600 [577]3 years ago

7 0

Answer:

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1260 degrees (from above)... And there are nine angles... So, the measure of the angle of a regular nonagon is 140 degrees.

Step-by-step explanation:

You might be interested in

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

Alexxandr [17]

Answer:

a) Add 4 to both sides, and then divide by 2. The solution is $x=12$ .

Step-by-step explanation:

Question:

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a) Add 4 to both sides, and then divide by 2. The solution is x = 12.

b) Divide both sides by −4, and then subtract 2. The solution is x = −7.

c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.

d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.

Solution:

Given equation:

$2x-4=20$

We need to determine the steps in order to solve for $x$ .

Solving for $x$ .

Step 1: Adding 4 both sides.

$2x-4+4=20+4$

$2x=24$

Step 2: Dividing both sides by 2.

$\frac{2x}{2}=\frac{24}{2}$

∴ $x=12$

Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12

7 0

4 years ago

Suppose a line has slope 4 and passes through the point (-2,5). Which other point must also be on the graph?

xxMikexx [17]

Slope of 4 means you add 4 to the y and 1 to the x so the answer is (-1,9)

5 0

3 years ago

If f(x) = 4x-9, evaluate f(3) <br>I need HELP ASAP!!!!!!!!!!!

seropon [69]

Answer:

substitute 3 as in x:

4(3)-9

= 12-9

= 3

Hope this helped - have a nice day & be safe

8 0

3 years ago

Find the next two terms in this sequence.<br><br> 1,2,6,24,120, [??],[??]

love history [14]

Answer:

720, 5040

Step-by-step explanation:

It's always times plus 1. So,
1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5040

6 0

2 years ago

The rate of U.S. per capita sales of bottled water for the period 2007–2014 could be approximated by s(t) = 0.25t2 ? t + 29 gall

julsineya [31]

Answer:

117 gallons

Step-by-step explanation:

The expression that describes the rate of U.S. per capita sales of bottled water for the period 2007–2014 is:

$s(t) = 0.25t^2-t+29$

Since t=0 at 2007. At 2009 and 2013, t is:

$t_1=2009-2007 = 2\\t_2=2013-2007 = 6$

The definite integral of the expression from t=2 to t=6 is:

$s(t) = 0.25t^2-t+29\\\int\limits^6_2 {s(t)} \, dt= \int\limits^6_2 {(0.25t^2-t+29)} \, dt\\\int\limits^6_2 {s(t)} \,dt= (\frac{t^3}{12} -\frac{t^2}{2}+29t +c)|^6_2 \\S(6) -S(2) = (\frac{6^3}{12} -\frac{6^2}{2}+29*6 +c) - (\frac{2^3}{12} -\frac{2^2}{2}+29*2 +c)\\S(6) -S(2) = 117.333\ gallons$

Rounded to the nearest gallon, the estimated total U.S. per capita sales of bottled water from the start of 2009 to the start of 2013 is 117 gallons.

6 0

3 years ago