All categories

3 years ago

Find the measure of each interior angle AND each exterior angles of the following regular polygons. Show your work.

Mathematics

1 answer:

fredd [130]3 years ago

7 0

<h3>Given</h3>

regular polygons with 5, 16, and 12 sides

the measures of each interior and exterior angle

<h3>Solution</h3>

The sum of exterior angles is 360° for any convex polygon. For a regular n-agon, the measure of an exterior angle is 360°/n. The corresponding interior angle is its supplement.

(a) pentagon. Exterior angle: 72°; Interior angle: 108°.

(b) 16-gon. Exterior angle: 22.5°; Interior angle: 157.5°.

(c) dodecagon. Exterior angle: 30°; Interior angle: 150°.

You might be interested in

Hi!!!! Can someone please help me answer this math question??

GalinKa [24]

The shortcut is the hypotenuse of a right triangle with legs 6 and 8, so 6²+8²=c²

36+64=c
100=c²
c=10.
so he traveled 6+8+10=24km

6 0

3 years ago

Read 2 more answers

A cellular family phone plan cost $49 per minute plus five cents per minute of long distance service. Write an equation for the

miskamm [114]

The equation for monthly payment is b = 49.05M.

<u>SOLUTION:</u>

Given, a cellular family phone plan cost $49 per minute plus five cents per minute of long distance service. We have to write an equation for the monthly payment b when M minutes of long distance service are used.

Now, given that,

$\begin{array}{l}{\text { Monthly payment = } \$ 49 \text { per minute plus five cents per minute of long distance }} \\\\ {\Rightarrow \$ 49 \times \text { number of minutes }+\$ 0.05 \times \text { number of minutes of long distance }} \\\\ {\Rightarrow \mathrm{b}=49 \times \mathrm{M}+0.05 \times \mathrm{M} \rightarrow \mathrm{b}=49 \mathrm{M}+0.05 \mathrm{M} \rightarrow \mathrm{b}=49.05 \mathrm{M}}\end{array}$

<em>Equation:</em>

An equation is a statement that the values of two mathematical expressions are equal <em>(indicated by the sign =)</em>

5 0

3 years ago

Help needed with this asap

maria [59]

Answer:

f(-3) = 4(-3) + 5 = -12 + 5 = -7. the answer is #2.

8 0

2 years ago

Read 2 more answers

Make a number line for 42+59

yuradex [85]

Answer:42 + 59 is 101

Step-by-step explanation: so draw the line for the number line and mark it by tens by going 10 20 so on and so on then do 4 of the ten hops and and 2 tiny hops then get a diffrent color pencil and do the number 59 in jumps

7 0

2 years ago

CAN I GET SOME HELP PLEASE!!

andreev551 [17]

With what the picture of the paper????

3 0

2 years ago