Answers
The measure of internal angle m∠V = 103°
What is the sum of the interior angles of a polygon?The sum of the interior angles of a polygon is given by the formula
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides
θ = angle in degrees
Given data ,
Let the sum of interior angles of the polygon be S
Now , the number of sides of the polygon n = 6 sides
So , Sum of Interior angles of a polygon with n sides is
nθ = 180° ( n - 2 )
Substituting the values in the equation , we get
nθ = 180° ( 6 - 2 )
nθ = 180° x 4
nθ = 720°
Therefore , the value of S = 720°
Now , the sum of measures of internal angles inside the polygon is
m∠S = 90°
S = 90° + ( 9x - 19 )° + 111° + ( 5x + 8 )° + 128° + ( 7x + 3 )°
On simplifying the equation , we get
( 9x - 19 )° + ( 5x + 8 )° + ( 7x + 3 )° + 329° = 720°
Subtracting 329° on both sides of the equation , we get
( 9x - 19 )° + ( 5x + 8 )° + ( 7x + 3 )° = 391°
And , on further simplification , we get
21x - 8 = 391
Adding 8 on both sides , we get
21x = 399
Divide by 21 on both sides , we get
x = 19
Now , the measure of m∠V = ( 5x + 8 )°
Substitute the value of x in the equation , we get
The measure of m∠V = ( 5 ( 19 ) + 8 )°
The measure of m∠V = 103°
Hence , the measure of angle m∠V = 103°
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Related Questions
A blood bank needs 6 people to help with a blood drive. 13 people have volunteered. Find how many different groups of 6 can be formed from the 13 volunteers.
Answers
The number of different groups of 6 that can be formed from the 13 volunteers is; 1716
How to solve permutation and combination?
This is a combination question that follows that formula;
nCr = n!/(r!(n - r)!)
We are told that the blood bank needs 6 people to help with a blood drive and that 13 have already volunteered.
Thus, number of different groups of 6 that can be formed from the 13 volunteers is;
¹³C₆ = 1716
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prove that the polynomials are nonnegative a^2-2ab+b^2+c^2
Answers
Answer:
a2 + b2 + c2 - ab - bc - ca
= (1/2)(2a2 + 2b2 + 2c2 - 2ab - 2bc - 2ca)
= (1/2)(a2 - 2ab + b2 + b2 - 2bc + c2 + c2 - 2ca + a2)
= (1/2)[(a-b)2 + (b-c)2 + (c-a)2]
Now we know that, the square of a number is always greater than or equal to zero.
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Now,
a²+b²+c²-ab-bc-ca
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= ½ • ( a² -2ab +b² +b² -2bc +c² +c² -2ac +a² )
= ½ • { (a-b)² + (b-c)² + (c-a)² }
For any value of a,b,c
(a-b)² ≥ 0,
(b-c)² ≥ 0,
(c-a)² ≥ 0,
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a²+b²+c²-ab-bc-ca = ½ • { (a-b)² + (b-c)² + (c-a)² } ≥ 0 i.e. Non-negative [ proved ]
Given the histogram, use the drop-down menus to identify the elements.
Zero frequency: (300-350) (351-400) (401-450
A peak: (650-700) (601-650) (451-500)
the ones in parenthisis r the answer choices
Answers
Answer:
Zero frequency:
✔ 351–400
A peak:
✔ 651–700
Step-by-step explanation:
Answer:
zero frequency
351-400
A peak
651-700
Step-by-step explanation:
use the distributive property to rewrite the algebraic expression below
4 (x + 2)
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The point (-7,3) is on the line given by which of the equations below?
A. y = 3x
B. y= 7x
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D. y= x-10
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65/100 as a dollar amount
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Answer:
The answer is $0.65, or 65 cents.
Answer:
$.65
Step-by-step explanation:
so 65 cents
write the fraction in ascending order.
1) 2 , 5 , 1 , 3
----- ----- ----- ----
3 6 2 4
2) 4 , 5 , 3 , 1
---- ----- --- ---
5 8 4 2
Answers
QUESTION 1 :
find the LCM of 3,6,2,4
LCM = 12
THEREFORE,
2/3*4/4 = 8/12
5/6*2/2 = 10/12
1/2*6/6 = 6/12
3/4*3/3 = 9/12
8/12 , 10/12 , 6/12 , 9/12
Ascending order of ( 8/12 , 10/12 , 6/12 , 9/12)
= 6/12 , 8/12 , 9/12 , 10/12
So, 6/12 = 1/2
8/12 = 2/3
9/12 = 3/4
10/12 = 5/6
THEREFORE
Ascending order = 1/2 , 2/3 , 3/4 , 5/6
10÷2-3+1=3 where do the parentheses go?
Answers
Answer:
The parantheses go around the (10 / 2)
Step-by-step explanation:
The expression would be:
(10 / 2) - 3 + 1 = 3
And when you solve it,
It would simplify to:
5 - 3 + 1
go from left to right and you get 3
The slash means division, I don't know how to type a division sign on brainly lol
It will be
(10/2) -3+1=
5-3+1 =3
Which is true
Pedro placed an order with an online nursery for
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Hope this helps! I really need points to ask a question , so I'm just answering people who need help
Khushali selects three different numbers from the set
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Answers
Answer:
The sample space for given condition is
(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)
(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)
(1,6),(2,6),(3,6),(4,6),(5,6)
(1,5),(2,5),(3,5),(4,5)
(1,4),(2,4),(3,4)
(1,3),(2,3)
(1,2)
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2
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Step-by-step explanation:
please thank to all my answer and please mark as brilliant
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Answer:
use photomath ok my guy and good job
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Answers
Answer:
Look Below
Step-by-step explanation:
7x+9x=314 I think that is what you are looking for I am not sure. Please do not be mad if wrong.
The system of equation of inequalities in various numbers of hours are
h+s≤35
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To write a system of inequalities.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given that:
The system of equation of inequalities are
h+s≤35
7h + 9s >_314
Therefore , the system of equation of inequalities in various numbers of hours are
h+s≤35
7h + 9s >_314.
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Step-by-step explanation:
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I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
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Step-by-step explanation:
Which is the best first step when solving the following system of equations?
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Answers
Answer:
multiply the second equation by - 2
Step-by-step explanation:
Given the 2 equations
5c + 4d = 10 → (1)
3c + 2d = 16 → (2)
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
Your answer is
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Locate the opposite of the number 1 5/8 on this number line. Draw a dart on correct position of the number line
Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Explaining: i used a calculator
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complete the recursive formula of f(n).
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Answers
Answer:
[tex]f(1)=-6[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Step-by-step explanation:
We are given that
[tex]f(n)=2\cdot (-3)^n[/tex]
We have to complete the recursive formula of f(n).
Substitute n=1
[tex]f(1)=2\cdot (-3)[/tex]
[tex]f(1)=-6[/tex]
[tex]f(2)=2\cdot (-3)^2=18[/tex]
[tex]f(3)=2\cdot (-3)^3=-54[/tex]
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[tex]\frac{f(3)}{f(2)}=\frac{-54}{18}=-3[/tex]
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[tex]f(n)=f(n-1)r[/tex]
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Answer:
f(1) = -6
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Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form. 1 2
Answers
Answer:
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Step-by-step explanation:
Using the pythagorean theorem, we know that a^2 + b^2 = c^2
In this case, c = 2, which means that a^2 + b^2 = 4
Since we know that a = 1, this means that a^2 is also 1. So, we know that b^2 = 4 - 1
Therefore, b^2 = 3
So, the answer is square root 3
Plz mark as brainliest :D!
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Step-by-step explanation:
I'm guessing this is competing the perfect square
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Answer:
Step-by-step explanation:
4x² + 28x + 49
4x² + 14x + 14x + 49
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2x(2x + 7) + 7(2x + 7)
(2x + 7)(2x + 7)
(2x + 7)²
= 28