Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°
.
Answers
Answer:
The sum of all the external angles of a triangle is 360°.
Step-by-step explanation:
Let there are n sides in a polygon.
So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.
The measure of external angle corresponding to ∠i1, ∠1= 180°-∠i1,
The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,
Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.
Now, the sum of all the external angles of the polygon,
(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)
=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)
=n x 180° - (∠i1+∠i2+...+∠in)
As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.
So, the sum of all the external angles of the polygon =
(n x 180°) - (sum of all the internal angles of the polygon).
In the case of a triangle, n=3 and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.
Therefore, the sum of all the external angles of a triangle,
∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)
=540°=180°
=360°.
Hence, the sum of all the external angles of a triangle is 360°.
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Answer:
B)
Step-by-step explanation:
its b because it doesnt have to turn to slow down
Laura can finish payroll in 3
hours. It takes Ben 5 hours
to do the same job. If they
work together, how long
should it take them?
hours
Answers
Answer:
1/2
Step-by-step explanation:
First we divide 3 and 5, which gives us 0.6, then we use the LA Hypothalamus formula which is x2, so then we substitute the x with 0.6, 0.6 multiplied by 2 is 1.2, so then we transform it to a fraction, your welcome
Answer:
15/8
Step-by-step explanation:
Which is greater 0.691 or 3.5
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Answer:
3.5 is greater
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
it is known as common sense
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Answer:
y=-1/4x-6
Step-by-step explanation:
Y-intercept is -6 because that is where the line touches on the y-axis. For slope, pick two points and remember rise over run.
Pick (0,-6) and (4,-7) for example. Referencing the graph, from -6, count over and down until you get to (4,-7). The line represents a negative slope, so your slope is -1/4
1+1
2
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Answer:2 ufghcdthggcfghgfftg
Step-by-step explanation:
QUESTION 2
Solve the equation for exact solutions.
arccos x + arccos 2x = arccos
1/2
Answers
What is the slope of the line which passes through (4,7) and (2, 3)? (5 points)
2
-2.
3
-5
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Answer:
2
Step-by-step explanation:
Find the area. Round to the nearest hundredth if necessary
Answers
Find the ratio of 2p per gram to £2.12 per kilogram
Answers
Answer:
the answer is 1.06
Step-by-step explanation:
What is the ideal number of children to have in a family? The following data represent the ideal number of children for a random sample of 900 adult Americans.
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Answer:
4
Step-by-step explanation:
In most modern family’s they usually have 4 or 2
Does anyone know how to solve this ratio?
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Answer:
The answer to this question is 11:3
X+23
2x-17
What is the value of x?
Answers
Answer:
a value
Step-by-step explanation:
Answer:
Simplifying
4x + -23 = 2x + 17
Reorder the terms:
-23 + 4x = 2x + 17
Reorder the terms:
-23 + 4x = 17 + 2x
Solving
-23 + 4x = 17 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-23 + 4x + -2x = 17 + 2x + -2x
Combine like terms: 4x + -2x = 2x
-23 + 2x = 17 + 2x + -2x
Combine like terms: 2x + -2x = 0
-23 + 2x = 17 + 0
-23 + 2x = 17
Add '23' to each side of the equation.
-23 + 23 + 2x = 17 + 23
Combine like terms: -23 + 23 = 0
0 + 2x = 17 + 23
2x = 17 + 23
Combine like terms: 17 + 23 = 40
2x = 40
Divide each side by '2'.
x = 20
Simplifying
x = 20
Step-by-step explanation:
What is the quotient of (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)?
Answers
Answer:
=x+2
Step-by-step explanation:
x3+6x2+11x+6
x2+4x+3
=
x3+6x2+11x+6
x2+4x+3
=
(x+1)(x+2)(x+3)
(x+1)(x+3)
Answer:
a. x+2
Step-by-step explanation:
took the test
Solve the inequality
Answers
Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason 50 minutes to paint a 160-square-foot wall. It took Seth 30 minutes to paint a 120-square-foot wall. Who painted faster?
Answers
Answer:
Jason
Step-by-step explanation:
Answer:
It's Seth
Step-by-step explanation:
11. The cost of shipping a package varies directly with the weight of the package. A 5
pound package costs $3.40 to ship. What would be the price of a package that weighs
1
12
pounds?
2
TAAR
x+b
+/-
*
med
Answers
Answer:
76.16
Step-by-step explanation:
5/3.40 = 112/x:
first combine like terms, which gives you
5x = 3.40 × 112
next multiply 3.40 by 112 (simplifying) so you get
5x = 380.8
last you divide 380.8 by 5x getting your answer of $76.16
hope this helped! :)
The population of a town is 20.000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13,000?
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It will take approximately four years for the population to be fewer than 13,000.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The population of the town is 20.000. It decreases at a rate of 9% per year.
The population of the town decreases by 20,000 × 9% = 1,800 people per year.
To determine how many years it takes for the population to fall below 13,000, you can use the formula:
= (20,000 - 13,000) / 1,800
= 3.88 ≈ 4 years
So, it will take approximately 4 years for the population to be fewer than 13,000.
To learn more about the rate click here :
https://brainly.com/question/12786410
#SPJ6
What is slope of the equation? 7x -2y = -10
Answers
Answer:
m = 7/2
Step-by-step explanation:
Brainliest Please!!?!!!!
Answer:
m=7/2
Step-by-step explanation:
Can someone solve this question please?
m/9=-9
Answers
Answer:
=−81
step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
m/9=-9
(9)m/9=9(-9)
m=9(-9)
plz help me answer my questions too go to my page
Does anyone know part B to this?!?!? I will give brainilest
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Answer:
(0,7)
Step-by-step explanation:
A line includes the points (-15, 5) and (-12, 5). What is its equation in slope-intercept form?
form
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Answer:
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Step-by-step explanation:
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I NEED HELP !!!! A taxi driver spends $105 every week on gas for 6 weeks. What integer represents the effect of buying $105 on gas for 6 weeks on the taxi driver’s bank account, in dollars?
Answers
.Answer:
-105
Step-by-step explanation:
Given
[tex]Gas = \$105[/tex] for 6 weeks
Required
Represent this as an integer
If the driver spends $105 on his taxi then it means that the money is debited from the driver's bank account.
Debit implies negative and it is represented by a negative symbon
Hence, the integer that represents this scenario is -105
Evaluate the expression when x = 32 and y = 2.
x over 4y
Answers
Answer:
4
Step-by-step explanation:
[tex]\frac{32}{4x2}[/tex]
[tex]\frac{32}{8}[/tex]
[tex]\frac{16}{4}[/tex]
[tex]\frac{4}{1}[/tex]
4
A map is made of a park. The scale from the park to the map is 36 mi to 9 cm. The length of Great Oaks Trail is 3 cm on this map. What is the actual length of the Great Oaks Trail?
Answers
Answer:
yes rhudurueufuurehhehduruejjdjdif
Answer:
11 miles
Step-by-step explanation:
3 centimeters is 1/3 of 9 centimeters so whatever you do to that you do the other number, so you divide 36 by 3 which is 11
[tex]2 log_{2}(x) + \frac{1}{2} log_{2}(x - 1) - log_{2}( x + 3) [/tex]
solving these problem
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explain how to use the unit rate to make a table
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Answer:
to make a unit rate using a table you would take an input/output from a table and convert it into a fraction. Then you would take that fraction and simplify it. Sometimes you might have to choose a new input/output in order to make the simplification easier.
Example-
2:4
4:8
6:12
8:16
Turn one into a fraction
4/8
Simplify
1/2
What is 5j + 3m - 2j - j2 - 8 + 3??
Answers
3j+3m-j2-8+3
Simplify the expression
Add -8 and 3
3j+3m-j^2-5
Move 3j
3m-j^2+3j-5
Reorder 3m and -j^2
-j^2+3m+3j-5
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Answers
Answer:
im in k12, hello and how are you on this fine day? :D
Step-by-step explanation:
Answer:
asdfghjkl
Step-by-step explanation:
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Answers
Answer: x2−6x−119
Step-by-step explanation:
provided in the screenshot below