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
You are schools you are a school supply shopping in together as a package of six pink pencils for 250 how much does each pencil cost
Answers
Answer:
41.67 dollars
Step-by-step explanation:
because 250/6= 41.6666666667
that rounded is 41.67 dollars
Explaining: i used a calculator
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.
Hence, (1/2)[(a-b)2 + (b-c)2 + (c-a)2] ≥ 0 => it is always non-negative.
Now,
a²+b²+c²-ab-bc-ca
= ½ • ( 2a²+2b²+2c²-2ab-2bc -2ca )
= 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,
So,
a²+b²+c²-ab-bc-ca = ½ • { (a-b)² + (b-c)² + (c-a)² } ≥ 0 i.e. Non-negative [ proved ]
An article marked at ₹50 is sold for ₹45. What is the
rate of discount?
Answers
Answer:
Your answer is
Rate of discount = 10%
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Khushali selects three different numbers from the set
{−7, −5, −3, −1, 0, 2, 4, 6, 8}. She then finds the product of the three chosen
numbers. What is the largest product that Khushali can make?
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)
Number of sample space is 28.
Number of sample space where the sum of two numbers is more than 13 is 2((6,8),(7,8)). Therefore the probability is
28
2
=
14
1
Step-by-step explanation:
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Pedro placed an order with an online nursery for
6 apple trees and 5 azaleas and the order came to
$147. The next order for 3 apple trees and 4 azaleas
came to $96. What was the unit cost for each
apple tree and for each azalea?
Answers
Hope this helps! I really need points to ask a question , so I'm just answering people who need help
Locate the opposite of the number 1 5/8 on this number line. Draw a dart on correct position of the number line
Answers
Answer:
-1 5/8
Step-by-step explanation:
Opposite of 1 5/8 is -1 5/8
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
8(1 + 7x) - x = -40 + 7x
PLZZZ HELP!!!
Answers
Hope this helped could you mark me brain lists
Answer:
use photomath ok my guy and good job
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
Answers
Answer:
Please do not report me if this is wrong but my friend beside me is giving me the answer and she said its 60
Step-by-step explanation:
49x^2 -_x + 16
Can someone help with the missing number
Answers
Step-by-step explanation:
I'm guessing this is competing the perfect square
so it's 56
Answer:
Step-by-step explanation:
4x² + 28x + 49
4x² + 14x + 14x + 49
2x(2x) + 2x(7) + 7(2x) + 7(7)
2x(2x + 7) + 7(2x + 7)
(2x + 7)(2x + 7)
(2x + 7)²
= 28
The ratio of small dogs to large dogs at a show is 4:3. If there are a total of 56 dogs in the show, how many are large dogs?
Answers
2/5 of 146 as a decimals
Answers
What is the y-intercept of the line in the picture
Answers
Answer:
-2
Step-by-step explanation:
f(n) = 2• (-3)^n
complete the recursive formula of f(n).
f(1) = ____
f(n) = f(n - 1) • ____
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]
[tex]\frac{f(2)}{f(1)}=\frac{18}{-6}=-3[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{-54}{18}=-3[/tex]
It forms geometric sequence because the ratio of two consecutive terms are equal.
Therefore, the recursive formula
[tex]f(n)=f(n-1)r[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Answer:
f(1) = -6
f(n)= f(n−1)⋅ -3
Step-by-step explanation:
Which is the best first step when solving the following system of equations?
5C+40= 10
3C+2d=16
Answers
Answer:
multiply the second equation by - 2
Step-by-step explanation:
Given the 2 equations
5c + 4d = 10 → (1)
3c + 2d = 16 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate d
- 6c - 4d = - 32 → (3)
Add (1) and (3) term by term to eliminate d
- c + 0 = - 22
- c = - 22 ( multiply both sides by - 1 )
c = 22
Substitute c = 22 into either of the 2 equations and solve for d
Substituting into (2)
3(22) + 2d = 16
66 + 2d = 16 ( subtract 66 from both sides )
2d = - 50 ( divide both sides by 2 )
d = - 25
solution is c = 22, d = - 25
Hope it helps
use the distributive property to rewrite the algebraic expression below
4 (x + 2)
Answers
Can anyone help me with this please?
Answers
Answer: 3/1
Step-by-step explanation:
use the 2 bottom ones
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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which expression is equivalent to (x ^4) ^-5
Answers
Answer:1/x^20
Step-by-step explanation:
Answer:
[tex]\frac{1}{x^{20}}[/tex]
Step-by-step explanation:
[tex](x^{4})^{-5}[/tex] = [tex]\frac{1}{(x^{4})^{5}}[/tex] = [tex]\frac{1}{x^{20}}[/tex]
65/100 as a dollar amount
Answers
Answer:
The answer is $0.65, or 65 cents.
Answer:
$.65
Step-by-step explanation:
so 65 cents
Find the length of the third side. If necessary, write in simplest radical form. 1 2
Answers
Answer:
√3
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
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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:
next three terms in (1024, -128, 16...) you can write them as fraction if needed
Answers
Answer:
-2 1/4 - 1/32
Step-by-step explanation:
16x -1/8 = -2 do the same for all
You can work a total of no more than 35 hours each week at your two jobs. Housecleaning pays $7 per hour and your sales job pays $9 per hour. You need to earn at least $314 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.
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
7h + 9s >_314.
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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C = -y - a/b
Solve the variable a
Can you please show each step
Answers
Multiply c and y with b
-bc=yb-a
-bc-yb=a
helpppppppppppppppppppppppppppppppp plzzzzzzzzzzzzzzzzzzzz
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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
C. y= x + 10
D. y= x-10
what equation?
Answers
HELP PLEASE ASAP
Given the discriminant of –2 for a quadratic equation, determine the number of real solutions.
Answers
Answer:
0 or simply no real solutions
Step-by-step explanation:
Given the discriminant which is negative, then the equation has no solutions in the set of real numbers. The roots or solutions belong to the set of complex solutions or imagenary roots.
Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?
Answers
Answer:
Wmkwkqkw siwiq q wksos ww wkwlwkw wlw
Answer:
$840
Step-by-step explanation:
4000 x .07= 280
280 x 3 = 840
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