Answers
Answer:
5 corners : 108 degrees
6 corners : 120 degrees
Step-by-step explanation:
there are (at least) 2 different views to get the result :
officially (usually the teachers' preferred method) you consider a polygon as a combination of non-overlapping triangles. a polygon with n corners or edges we can split into n-2 such triangles.
each triangle has an angle sum of 180 degree.
so, the polygon angle sum is (n-2)×180 degrees.
and each (internal) angle is then (n-2)×180/n
n = 5 : (5-2)×180/5 = 3×36 = 108 degrees
n = 6 : (6-2)×180/6 = 4×30 = 120 degrees
the second approach (I prefer) goes after the external angles of the polygon.
the sum of all external angles in any polygon is 360 degrees (a full circle).
for n corners/edges each external angle is 360/n.
and the internal angle is then the complement to 180 degrees = 180 - 360/n
n = 5 : 180 - 360/5 = 180 - 72 = 108 degrees
n = 6 : 180 - 360/6 = 180 - 60 = 120 degrees
Related Questions
Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?
1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.
A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.
Answers
9514 1404 393
Answer:
C: 2 and 3 only.
Step-by-step explanation:
We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).
The product of two odd numbers is odd, so (2) is one of the true statements.
__
Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.
Only statements (2) and (3) are true.
Simplify this expression: 4(1 – 26) + 76 – 10.
Answers
Answer:
-b - 6
Step-by-step explanation:
4(1 - 2b) + 7b - 10
Apply the distributive property:
4(1 - 2b) + 7b - 10
(4)(1) + (4)(−2b) + 7b + (−10)
4 + (−8b) + 7b + (−10)
Combine like terms:
4 + −8b + 7b + −10
(−8b + 7b) + (4 - 10)
-b - 6
Answer:
-b - 6
Step-by-step explanation:
4 (1 - 2b) + 7b - 10
4 - 8b + 7b - 10
-b - 6
One side length of a rectangle is 1/3 of a foot. The second length is 1 2/3 times the length of the first. Find the area of the rectangle.
Answers
Answer:
5/27 ft²
Step-by-step explanation:
a = 1/3
b = 1/3 × 5/3 = 5/9, as 1 2/3 = 5/3
the area of the rectangle is a×b
Ar = 1/3 × 5/9 = 5/27 ft²
can any one explain how to look for d direction of a vector .
Answers
Answer:
The direction of a vector is the measure of the angle it makes with a horizontal line . tanθ=y2 − y1x2 − x1 , where (x1,y1) is the initial point and (x2,y2) is the terminal point. Example 2: Find the direction of the vector →PQ whose initial point P is at (2,3) and end point is at Q is at (5,8)
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
Answers
Answer:
The Polynominal is not shown. So how can i answer???
Step-by-step explanation:
Thank You! Hope it helps! Please Mark me brainliest!
If my savings of $x grows 10% each year, how much will I have in 1 year?
Answers
Answer: $1.1x
Step-by-step explanation:
x = your saving at beginning of year10% = 0.1At the end of year 1, it will increase by 10%:
[tex]x+0.1x=x(1+0.1)=1.1x[/tex]
what is the relationship that have the same rate of change
Answers
Answer:
I don't really know sorry
PLSSS HELP MEE
Equation: c = n
Is there any way for this equation to be true? How?
Answers
Step-by-step explanation:
if
c = 3 + 6 = 9
and
n = 4 + 5 = 9
then it could be true
HELPPP! Pleaze I will give 30 points!
Triangle XYZ has vertices at X(-2, 3), Y(3, 0), and Z(2, 1). What are the coordinates of the image of Triangle XYZ after the translation (x, y) --> (x + 3, y + 1)?
Answers
Answer:
u need my help OK bet
Step-by-step explanation:
so heres tge answer
Answer:
is it x(1,4) y(6,1) z(5,2)
give brainliest
5 + 8n = 7(-7 + 4n) -6
Answers
Answer:
n = 3
Step-by-step explanation:
Given
5 + 8n = 7(- 7 + 4n) - 6 ← distribute parenthesis on right side
5 + 8n = - 49 + 28n - 6 ( subtract 28n from both sides )
5 - 20n = - 55 ( subtract 5 from both sides )
- 20n = - 60 ( divide both sides by - 20 )
n = [tex]\frac{-60}{-20}[/tex] = 3
What is the circumference, in inches, of the front tire of Susan’s bike?
Answers
Answer:
The bike will travel approximately 1,272 inches or 106 feet.
Step-by-step explanation:
The diameter of a circle (wheel) can be used to find the circumference, which is the total perimeter around the wheel. The formula used to find circumference is: C = dπ, where 'd' is the diameter and π = 3.14. In this case C = 27 x 3.14 ≈ 84.78 inches. Since this measurement represents the perimeter of wheel, we would need to multiply this number by 15 in order to find the total distance after 15 complete rotations of the wheel: 84.78 x 15 ≈ 1,272 inches. 1,272 inches is a large measurement, so we can easily convert this to feet by dividing by the number of inches per foot, or 12: 1272/12 = 106 feet.
Hope this answer helps you :)
Have a great day
Mark brainliest
Find the value of x for which ABCD must be a parallelogram
a. 1
b. 94
c. 3
d. 47
Answers
Answer:
c. 3
Step-by-step explanation:
BC||AD so <CBD=<BDA
15x+2=9x+20
15x-9x=20-2
6x=18
x=3
Please solve this:
[tex] {2}^{y - 3} \times {3}^{2y - 8} = 36[/tex]
Solve for y.
Explain please!!
Answer only if you can.
Answers
Answer:
y is 5.
Step-by-step explanation:
[tex]{ \sf{{2}^{y - 3} \times {3}^{2y - 8 } = 36}} \\ \frac{ {2}^{y} }{ {2}^{3}} \times \frac{ {3}^{2y} }{ {3}^{8} } = 36 \\ \\ {2}^{y} . {3}^{2y} = 36 \times {2}^{3} \times {3}^{8} [/tex]
Introduce log base 10:
[tex] log_{10}( {2}^{y} \times {3}^{2y} ) = log_{10}(36 \times {2}^{3} \times {3}^{8} ) \\ log_{10}( {2}^{y} ) + log_{10}( {3}^{2y} ) = 6.28 \\ y log_{10}(2) + 2y log_{10}(3) = 6.28 \\ 0.3y + 0.95y = 6.28 \\ 1.25y = 6.28 \\ y = 5[/tex]
What two-dimensional cross sections could be obtained from a right rectangular prism?
Select the three correct answers.
Circle
Square
Ellipse
Parabola
Rectangle,
Parallelogram that is not a square or a rectangle
Answers
Answer:
Square
Rectangle
Step-by-step explanation:
not a pro at shapes.
Find the perimeter of the polygon
Answers
Answer:
Answer 60
Step-by-step explanation:
The distance from an exterior point to the incircle is equal to the tangent length in both cases.
So the 19 is made up of 9 and 10.
The length of the other portion of the tangent from the end of 19 to the tangent point on the right is also 10.
By a similar argument the lower length of the line to the tangent point is 11.
So you have
9 + 9 + 10 + 10 + 11 + 11
18 + 20 + 22 = 60.
log 55 is the power to which ---- must be raised in order to produce a value of 55
Answers
Answer:
10
Step-by-step explanation:
just took the quiz
Solve
4/√7-1 +2/√7+1
Answers
Answer:
[tex]\frac{4}{\sqrt{7}}-1+\frac{2}{\sqrt{7}}+1[/tex][tex]=\frac{4}{\sqrt{7}}+\frac{2}{\sqrt{7}}-1+1[/tex]
[tex]\frac{4}{\sqrt{7}}+\frac{2}{\sqrt{7}}=\frac{6\sqrt{7}}{7}[/tex]
[tex]\frac{6\sqrt{7}}{7}-1+1[/tex]
[tex]-1+1=0[/tex]
[tex]=\frac{6\sqrt{7}}{7}[/tex]
OAmalOHopeO
Answer:
Answer is (6[tex]\sqrt{7}[/tex] +2)/6
Step-by-step explanation:
The question isn't very clear, so I'm gonna assume the denominator is [tex]\sqrt{7}[/tex]-1 and [tex]\sqrt{7}[/tex]+1
(X²-3x-1)²-12(x²-3x-1)+27
Answers
Answer:
Step-by-step explanation:
x^4 - 6x^3 -5x^2 +42x +40
Answer:
Step-by-step explanation:
(x²-3x-1)² = (x²)² + (-3x)² + (-1)²+ 2(x²)(-3x)+2*(-3x)(-1)+2*(-1)(x²)
= x^4 +9x² +1 -6x³ +6x -2x²
=x^4 - 6x³ + 9x² -2x² + 6x + 1
=x^4 - 6x³ + 7x² + 6x + 1
(x²-3x-1)²-12(x²-3x-1)+27 = x^4 - 6x³ + 7x² + 6x + 1 - 12x² + 36x + 12 + 27
=x^4 - 6x³ + 7x² - 12x² + 6x +36x + 1 + 12 +27
=x^4 - 6x³ - 5x² + 42x + 40
pls for the LOVE OF GOD. i can't do graphs
Answers
Answer:
Second Option
Step-by-step explanation:
We need to graph the equation
[tex]y = \frac{2}{3} x - 1[/tex]
The -1 represent the y intercept. So our y intercept will be at (0,-1).
We then would move up 2 and right 3 units because that represent our slope. So the second option.
A pizza delivery man makes $50.00 a shift. If he makes $3.00 on each delivery he makes, how much
money will he make, if he makes 22 deliveries in one shift. Create an equation to represent this
situation. Write the equation in function notation. State the ordered pair for 22 deliveries and explain
your solution.
Answers
Answer:50+(3x22)=116
Step-by-step explanation:
Rhombus LMNO is shown with its diagonals.
Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. All sides are congruent.
Angle MNO measures 112°. What is the measure of angle LMN?
Answers
Answer:
hope this help
Step-by-step explanation:
Answer:
90
51
10
Step-by-step explanation:
7x-3/4=x what is the process to answer fasttttttt please
Answers
Answer:
x= 1/8 is the correct answer
Answer:
1/8
Step-by-step explanation:
7x-x=3/4
6x=3/4
6x/6=3/4÷6
x=1/8
The dimension of a rectangle are given in base 2.The width is 10 base 2 cm and the length 11 base 2 cm.Find the perimeter
Answers
Answer:
2l+2w
2 (11) +2 (10)
22+20
42
Match each equation to its graph. Use the drop-
down menus to describe the equations.
Answers
Answer:
D. y=x+1 Linear
A. y=x^2 Quadratic
B. y=(3/2)^x Exponential
C. y=x^2+2/x^2-2 Rational
Step-by-step explanation:
got it right :)
The correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C What is a linear equation?The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.
For example y=2x+3
What is a quadratic equation?The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.
For example, y=3x²
Here given that the functions are given in the figure and we have to identify the appropriate graph.
Checking all the equations individually
y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.Therefore the correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option CLearn more about linear equation
here: https://brainly.com/question/14323743
#SPJ2
A fair spinner has 12 equal sections: 5 red 4 blue and 3 green. its Spun twice what is the probability of getting the same colour twice?
Answers
Answer:
25/72
Step-by-step explanation:
P( blue) = blue / total = 4/12 = 1/3
P ( blue, blue) = 1/3 * 1/3 = 1/9
P ( red) = red / total = 5/12
P ( red, red) = 5/12 * 5/12 = 25/144
P ( green) = green /total = 3/12 =1/4
P ( green , green) = 1/4 * 1/4 = 1/16
Add these together to get
P( same colour twice) = 1/9+ 25/144 + 1/16
=16/144 + 25/144 + 9/144
=50/144
=25/72
Given: The equation of a parabola is x2 = 8y.
Step 3: Where does the directrix for the given parabola lie? Enter the equation for the directrix line. Use your keyboard and the keypad to enter your answer. Then click Done.
Answers
Answer:
x=-2
Step-by-step explanation:
Answer:
Since a = 2, the equation for the directrix line will be y = −2.
Step-by-step explanation:
(52)-1 + 5÷1
Answer please..
Answers
Answer:
I believe this might be the answer 52 − 1 + 5/1= 56
Answer:
56
Step-by-step explanation:
hope it helps ^^.
Select the correct answer.
Which is the correct simplified form of the expression ?
A.
B.
C.
D.
Answers
Answer:
it should be letter b sorry if its wrong
the answer should be choice B
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 180 are defective. If 6 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected
Answers
Answer:
[tex]P = 0.1447[/tex]
Step-by-step explanation:
Given
[tex]n = 7000[/tex] -- total
[tex]d = 180[/tex] --- defective
[tex]r = 6[/tex] --- selected
Required
The probability of rejecting the batch
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:
[tex]Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}[/tex]
The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:
[tex]Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}[/tex]
[tex]Pr = 0.8553[/tex]
Using the complement rule, the probability that the batch will be rejected is:
[tex]P = 1 - 0.8553[/tex]
[tex]P = 0.1447[/tex]
Answer the question written in the image.
Answers
Answer: 28
Step-by-step explanation:
The pattern is multiply the right and bottom, add the left
For example, 9*8+7=79
So, 24*3+x=100
72+x=100
x=28
