Answers
The exterior angle of each polygon and the adjacent interior angle are
supplementary.
(a) 72° (b) [tex]\displaystyle 51 \frac{3}{7} ^{\circ}[/tex] (c) 36° (d) 20° (e) 18°
Reasons:
The formula for the exterior angle of a regular polygon is, [tex]\displaystyle \theta = \mathbf{ \frac{360 ^{\circ}}{n}}[/tex]
Where;
θ = The exterior angle of the polygon
n = The number of sides of the regular polygon
(a) The number of sides in a pentagon, n = 5 sides
Therefore, for a regular pentagon, we have;
[tex]Exterior \ angle , \displaystyle \theta = \frac{360 ^{\circ}}{5} = \mathbf{{72^{\circ}}}[/tex]
The measure of the exterior angle of a pentagon, is 72°
(b) An heptagon has n = 7 sides
The measure of the exterior angle, θ, of a regular heptagon is therefore;
[tex]Exterior \ angle \ of \ a \ heptagon , \,\displaystyle \theta = \frac{360 ^{\circ}}{7} = \underline{51 \frac{3}{7} ^{\circ}}[/tex]
(c) A decagon has n = 10 sides, which gives;
[tex]The \ exterior \ angle \ of \ a \regular \ decagon, \,\displaystyle \theta = \frac{360 ^{\circ}}{10} = \underline{36^{\circ}}[/tex]
(d) The exterior angle of an 18-gon with n = 18 sides is given as follows;
[tex]The \ exterior \ angle \ of \ a \ regular \ 18-gon, \,\displaystyle \theta = \frac{360 ^{\circ}}{18} = \underline{20^{\circ}}[/tex]
(e) A regular 20-gon has n = 20 sides
The exterior angle of a regular 20-gon is [tex]\displaystyle \frac{360 ^{\circ}}{20} = \underline{ 18^{\circ}}[/tex]
Learn more about the angles of a polygon here:
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Related Questions
Jane and Joe’s mom cook sausage links for breakfast they are seven links to be shared equally between the children which equation shows how Jane and joe can determine the number of sausage links
Answers
7 sausage links shared between 2 kids. Each kid gets 3.5 sausage links for breakfast
Will give brainliest, 20 points
Someone pls help me understand this, i dont know how to change my equation around
Answers
Answer:
the answer is the third one k > - 5
Answer/Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
[tex]\frac{1}{4}k+\frac{-3}{4}>-2[/tex]
Step 2: Add 3/4 to both sides.
[tex]\frac{1}{4}k+\frac{-3}{4}+\frac{3}{4}>-2+\frac{3}{4}[/tex]
[tex]\frac{1}{4}k>\frac{-5}{4}[/tex]
Step 3: Multiply both sides by 4.
[tex]4*\frac{1}{4}k>4*\frac{-5}{4}[/tex]
K > -5
So according to this the value of k has to be greater than -5
You can check your answer by substituting the values in for k.
You can use a calculator..
[tex]\frac{-10-3}{4} >-2[/tex]
[tex]\frac{-7-3}{4} >-2[/tex]
[tex]\frac{-1-3}{4} >-2[/tex]
[tex]\frac{0-3}{4} >-2[/tex]
Solve these and you will get your 2nd answer.
[RevyBreeze]
Please help!!
(I’ll mark brainliest)
It’s question number 15!
Answers
Answer:
divide both side by nine
Step-by-step explanation:
v = lwh
36cm³ = 3cm × w × 3cm
36cm³ = 9cm × w
36cm³/9cm = w
What is the area of the shaded region?
Answers
Answer
157.44
Step-by-step explanation:
To find area of triangle you have to multiply base times height then divided by 1/2. 19.2 cm being your height x 16.4 cm being your base, then divide by 2.
Answer:
area of the triangle = ½×base×height
½×19.2×16.4 = 157.44
so, the area of the triangle is 157.44cm³
Step-by-step explanation:
brainliest plz
A line passes through the points (1, 4) and (3, –4). Which is the equation of the line? y = negative 4 x + 8 y = –2x + 6 y = negative one-foA line passes through the points (1, 4) and (3, –4). Which is the equation of the line? y = negative 4 x + 8 y = –2x + 6 y = negative one-fourth x + 2 y = 2x + 2urth x + 2 y = 2x + 2
Answers
Answer:
y = -4x + 8
Step-by-step explanation:
The equation of a line is written in slope-intercept form : y = mx+b
m is the slope
We are given two points, so let's find the slope of the line first:
Slope = ΔY/ΔX = 4 - (-4) / 1 - 3 = 8 / -2 = -4
The slope is -4
So far, our equation is y = -4x + b
We can input a point's x and y value to find b, the y-intercept
Let's use point (1, 4)
4 = -4(1) + b
4 = -4 + b
b = 4 + 4
b = 8
The equation is y = -4x + 8
-Chetan K
Answer:
the answer is A
Step-by-step explanation:
y=-4x+8
Rationalize the denominator 1/√3−1
Answers
Which is equals to 1.
1/root3-1 * (1/root3-1) / (1/root3-1)
Now you have root3-1 / 2
[tex] \frac{1}{ \sqrt{3} - 1 } \\ = \frac{1}{ \sqrt{3} - 1} \times \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1 } \\ = \frac{ \sqrt{3} + 1}{( \sqrt{3})^{2} - (1)^{2} } \\ = \frac{ \sqrt{3} + 1 }{3 - 1} \\ = \frac{ \sqrt{3} + 1}{2} [/tex]
Answer:[tex] \frac{ \sqrt{3} + 1}{2} [/tex]
What is 6485.91 rounded to the nearest hundred?
Answers
Answer:6500.00
Step-by-step explanation:
If we're talking about the hundreds, that will be the third digit to the left of the decimal. 8 is greater than 5 so we're rounding up, making 485.91 500, so your answer is 6500
Answer: i think it is 7499.01??
Step-by-step explanation:
I actually don't know i am guessing?!
Paula went to the salon and had 1/2 of an inch of hair cut off. The next day she went back and asked for another 5/6 of an inch to be cut off. How much hair did she have to cut in all?
Answers
Answer: 1 and 1/3 or 1 and 2/6
Step-by-step explanation: 1/2 x 3 = 3/6
3/6+5/6= 1 and 2/6 or 1 and 1/3
neep help with iready
Answers
Answer:
I can help you.
Step-by-step explanation:
Have a positive day
3(x-y)-5x(y-x) ..................
Answers
Answer:
what do we solve x or y?
Step-by-step explanation:
Theo used to drive 60 miles to work each day. His new home is now 20 miles away
from his job. What is the percent of
decrease in the distance Theo travels to
work? Round to the nearest tenth if
necessary.
Answers
Answer:
66.6% decrease in distance
Rounded 67%
He is traveling 1/3 of what he used to travel
Step-by-step explanation:
The percentage of decrease in the distance Theo travels to work is 66.7%.
Used concept of percentage;
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.
Given that;
Theo used to drive 60 miles to work each day.
And, His new home is now 20 miles away from his job.
Hence the percentage of decrease in the distance Theo travels to work is,
P = (60 - 20)/60 x 100
P = 40/60 x 100
P = 66.7%
So, The percentage of decrease in the distance Theo travels to work is 66.7%.
Learn more about the percentage visit:
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A bag contains seven balls labeled 1 through 7. One ball will be randomly picked.what is the probability of picking an even number
Answers
One hundred third-grade students go on a field trip .four equal sized buses are completely filled, and four students are riding with parents .which equation can be used to find the number of students riding on each bus?
Answers
Answer:
104÷4
Step-by-step explanation:
100 students but if 4 of them have a parent, then 104
pls help and I need more than one answer instead of one person pls
Answers
Answer:
14.25 minimum
15.75 maximum
If machine A makes a yoyo every five minutes and machine B makes a yoyo every 10 minutes
Answers
Answer:
Then machine A is twice as effiecent as machine B
Step-by-step explanation:
Identify the relationship between ∠c and ∠k.
Corresponding angles
Alternate interior angles
Alternate exterior angles
Same side interior angles
Answers
Answer:
Corresponding angles
Parallel Lines Practice NO LINKS PLEASE and please explain this for me so i can understand
Answers
Answer:
120
Step-by-step explanation:
As those two lines are parallel, we can express and equation:
[tex](6x + 18) + (4x - 8) = 180[/tex]
[tex]6x + 4x = 180 - 18 + 8[/tex]
[tex]10x = 170[/tex]
[tex]x = 17[/tex]
[tex]6x + 18 = 102 + 18 = 120[/tex]
Solve for z
-1+8z=-73
Answers
Answer:
z=-9
Step-by-step explanation:
-1+8z=-73
+1 +1
8z=-72
z=-9
Answer: Z = -9
Step-by-step explanation:
Amanda doubles a number, then subtracts six from the result. This leaves her with forty-two. What is the number she chose to double?
Amanda chose to double the number .
(Note: Please answer in numeric form.)
Answers
I need help with this question:
Answers
Answer:
Step-by-step explanation:
each number equals a letter at the 2 numbers from each line and it will give you the letter based off of the letter - number coder
if 20 men working together can finish a job in 20 days then the number of days taken by 25 men of the same capacity to finish the job is
Answers
Answer:
20x20 =400 then 400/25 = 16 Days
Step-by-step explanation:
Always multiply the amounts of initial men x initail days
then divide by the new amount of men
With other questions for tag fish and sample fish in pond questions
They ask how many fish are estimated to be on the pond.
= The amount of fish caught next day divided by the amount of fish tagged and found in that same catch.
Then multiplied by the amount of all fish tagged initially the day before.
To find random amount in pool.
This is the same method but reversed.
4. Rob borrows $15.00 from his father, and then he borrows $3.00
more. Write an equation using negative integers to represent Rob's
debt. How much money does Rob owe his father?
I’ll mark BRAINLY !
Answers
Answer:
He owes his father -$18.00
Step-by-step explanation:
Answer:
X=-15-3
Step-by-step explanation:
I'm pretty sure this is right because your just adding 15 and 3 but in negatives. Rob owes his dad -18$
So then X=-18
find the square root of the following by long division method
(a) 1369
(b) 5625
Answers
a). 1369 = 37Hope it helps you
Answer:
Thank you so much
Step-by-step explanation:
Buy the I am also Collecting cups for planting
I have more idea that I will share at 5 pm today only
Find the greatest common factor (reverse of distributing) SOMEONE HEPPLP
Answers
Answer:
I believe it is 5
Step-by-step explanation:
Picture (sorry for handwriting)
Answer:
5x(2x - 5)
Step-by-step explanation:
==>> 10x-25y
10 , -25
_________
10 [5 × 2]
&
-25 [-5 × 5]
----->> 5 & 5
==>>5x(2x - 5)
Which point is the image of B under the same translation?
Answers
Answer:
Point S
Step-by-step explanation:
If you went up 1 and over 1 to get from point R to point W, then you can use that same translation to get from point B to point S.
Hope this helps and have a great day ❤
Assuming that a + 2 = y, what is the property of:
a + 2 - 3 = y - 3
Here are the answer choices:
Answers
Answer:
its not distributive
Step-by-step explanation:
because its normally in perenthesis
[tex]\frac{x}{2}[/tex]±4=8
Answers
•Find common denominator
•Combine Fractions with common denominator
•Multiply the numbers
•Multiply all terms by the same value to eliminate fraction denominators
•Cancel multiplied terms that are in the denominator
Multiply the numbers
•Subtracts 8 from both sides of the equation
•Simplify
which of the following straight line is parallel to y = 7 - 2x?
Answers
Answer:
Whichever line has a slope of -2
Step-by-step explanation:
rewrite in slope intercept
y=mx+b where m=slope
y=-2x+7
-2 is the slope of the original line
a parallel line will never intersect
the parallel line must have the same slope
3(-2) as repeated addition please!
Answers
Answer:
-2+-2+-2 ?
Step-by-step explanation
3(-2)=
-2+-2+-2
Find the value of that makes m ll n x=2x
Answers
Answer:
i think 20..
Step-by-step explanation:
Hope it helps