HELP ME IM LOST :/
In the diagram, QRSTU is a regular pentagon and STVW is
a straight line. PQVW is a part of a regular polygon. Find
the number of sides of the regular polygon.
Answers
Answer:
15 sides
Step-by-step explanation:
Recall the following about interior and exterior angles of polygons.
Interior angles of polygons:
The formula (n - 2)180 gives the sum of the measures of the interior angles of a polygon of n sides.
If we know the number of sides, we can find the sum of the measures of the angles.
Exterior angles of polygons:
The sum of the measures of the exterior angles of a polygon is 360. If the polygon is a regular polygon of n sides, then the measure of each exterior angle is 360/n.
This problem:
QRSTU is a regular pentagon.
The sum of the measures of the sides of a polygon of n sides is
(n - 2)180
For a pentagon, n = 5, so
(n - 2)180 = (5 - 2)180 = (3)180 = 540
The sum of the measures of the angles of pentagon QRSTU is 540.
Since it's a regular polygon, each angle measures 540/5 = 108.
Angles UQR, R, and S are interior angles of the pentagon, so each one measures 108 degrees.
Now look at polygon VQRS. It is a quadrilateral with sides VQ, QR, RS, and SV. The sum of the measures of the angles of a quadrilateral (4 sides; n = 4) is
(n - 2)180 = (4 - 2)180 = 2(180) = 360
m<VQU = 12 (given)
m<UQR = 108
m<VQR = m<VQU + m<UQR = 108 + 12 = 120
The angles of quadrilateral VQRS are <VQR, <R, <S ,and <TVQ. Their sum is 360.
<VQR + m<R + m<S + m<TVQ = 360
We now substitute the angle values we know and solve for m<TVQ.
120 + 108 + 108 + m<TVQ = 360
m<TVQ = 24
<TVQ is an exterior angle of the large polygon of which PQ, QV and VW are sides.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360. For a regular polygon, all exterior angles are congruent, and the measure of each exterior angle is the sum of the the measures of the exterior angles divided by the number of sides.
[tex] measure~of~an~exterior~angle = \dfrac{sum~of~the~measures~of~the~exterior~angles}{number~of~sides} [/tex]
[tex] a = \dfrac{360}{n} [/tex]
We know that the measure of an exterior angle is 24 deg.
[tex] 24 = \dfrac{360}{n} [/tex]
[tex] n = \dfrac{360}{24} [/tex]
[tex] n = 15 [/tex]
Answer: 15 sides
Answer:
15 sides
This was tough.
Related Questions
3/6 over 4 simplified?
Answers
Answer:
I think its 1/8
Step-by-step explanation:
Keep Switch Flip
Keep the 3/6 switch the symbol and flip the 4
3/6 x 1/4 = 1/2 x 1/4 = 1/8
4 cachorros se terminan un paquete de croquetas en 6 días, si tuviéramos 3 cachorros ¿cuantos días duraría el paquete ?
Answers
Answer:
4 1/2 días.
Step-by-step explanation:
En la pregunta se nos dice que:
4 cachorros terminarán un paquete de croquetas en 6 días, si tuviéramos 3 cachorros, ¿cuántos días duraría el paquete?
4 cachorros = 6 días
3 cachorros = y días
Cruz multiplicar
4 cachorros × y = 3 cachorros × 6 días
y = 3 cachorros × 6 días / 4 cachorros
y = 18/4
y = 4 2/4
y = 4 1/2 días
Por lo tanto, el paquete de croquetas para 3 cachorros tendrá una duración de 4 1/2 días.
1. Sоlvе fоr X: -243 -9(10 + х)
Answers
Answer:
x=-37
Step-by-step explanation:
-243-90-9x=0
or,-333=9x
x=-37
your ans plezz..... mark brainliest
Given M = the set of counting numbers and N = the set of even numbers, find M - N.
need answer
Answers
Answer:
M-N = set of odd numbers
M-N = 1,3,5,7,9,11,.....................................so on it till infinity
Step-by-step explanation:
M = the set of counting numbers
set of counting number are are all the numbers which is used for counting.
They are also called Natural numbers
In numerical form set of counting numbers can be represented as
M = the set of counting numbers = 1,2,3,4,5,6,7,8,9..............................till infinity
N = the set of even numbers
set of even numbers all the counting numbers which are multiple of two
In numerical form set of counting numbers can be represented as
N = the set of even numbers = 2,4,6,8,10,12................so on till infinity
__________________________________
now we have to find M-N
it means from set of counting number, all the even numbers would be excluded
IN such case
If we exclude all the even numbers, then only odd numbers will remain.
M-N will be = 1,3,5,7,9,11,.....................................so on it till infinity
If we look it closely , the given set is set of odd numbers
odd numbers are counting numbers in form of 2n+1 where n = 0,1,2,3....
Thus,
M-N can also be said as set of odd numbers
M-N = set of odd numbers
M-N = 1,3,5,7,9,11,.....................................so on it till infinity
Quick help!!!!!!!!Consider the polynomial expression below
X^3 -3x^2 +81x-243
Rewrite the polynomial in the form (x-d) (x-e) (x+f) where D is a real number and E and F are complex numbers of the form BI
Answers
x³-3x²+81x-243
x³-3x²+81x-243
Answer : (x-3)(x²+81)
An electrician charges a base fee of $70 plus $45 for each hour of work. The minimum the electrician charges is $160. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function.
Answers
Answer:
1) See below for table.
2) Domain: [tex]\{1, 2, 3, 4\}[/tex]
Range: [tex]\{160, 160, 205, 250\}[/tex]
Yes, this is a function.
Step-by-step explanation:
We know that the electrician charges a base fee of $70 plus $45 for each hour of work.
We also know that the minimum the electrician charges is $160.
Let's write an equation. Let x denote the number of hours worked and y denote the total price. There's also a base fee of $70. So, we can write the following equation:
[tex]y=45x+75[/tex]
Part 1)
Let's create our table for 1, 2, 3, and 4 hours. To do so, we simply need to substitute each value for x in our equation.
1 Hour:
We have:
[tex]y_1=45(1)+70[/tex]
Multiply and add:
[tex]y_1=45+70=\$115[/tex]
However, notice that the minimum the electrician charges is $160. Therefore, for one hour of work, the electrician will still charge $160. So:
[tex]y_1=\$160[/tex]
2 Hours:
Substitute 2 for x:
[tex]y_2=45(2)+70=90+70=\$160\\[/tex]
So:
[tex]y_2=\$160[/tex]
3 Hours:
Substitute 3 for x:
[tex]y_3=45(3)+70=135+70=\$205[/tex]
So:
[tex]y_3=\$205[/tex]
4 Hours:
Substitute 4 for x:
[tex]y_4=45(4)+70=180+70=\$250[/tex]
So:
[tex]y_4=\$ 250[/tex]
Therefore, for 1, 2, 3, and 4 hours of work, the prices will be $160, $160, $205, and $250, respectively.
We can create the following table (please scroll down to see the table. Also, y is measured in dollars).
Part 2)
The domain of a relation are the input values.
In this context, our input values are the amount of hours worked, and we calculated for 1, 2, 3, and 4 hours of work.
Therefore, our domain in this context is:
[tex]\{1, 2, 3, 4\}[/tex]
The range of a relation are the output values.
In this context, the output values are the price for x hours of work.
Therefore, our range in this context is:
[tex]\{160, 160, 205, 250\}[/tex]
This relation does represent a function. Remember that a function cannot have repeating input values. In other words, no one input can be equal to two or more different outputs. However, one output can be mapped to two or more different inputs.
For our table, none of the inputs are repeating. So, our relation is a function.
And we're done!
If f(x) = 4x - 5 and g(x) = x +6, find g(f(-4)
Answers
Answer:
-15
Step-by-step explanation:
g(f(-4))=g(4(-4)-5)=g(-21)
g(-21)=-21+6=-15
what value of x makes the question true? 2x + 9 = 4x - 1
Answers
Answer:
5
Step-by-step explanation:
2x +9 =4x - 1
2x - 4x =-1 - 9
-2x=-10 /(-1)
2x=10
x=10 :2
x=5
Is x = –4 a valid solution this linear equation?
2x + 9(x – 1) = 8(2x + 2) – 5
No. When –4 is substituted for the variable, the result is a true statement.
No. When –4 is substituted for the variable, the result is a false statement.
Yes. When –4 is substituted for the variable, the result is a true statement.
Yes. When –4 is substituted for the variable, the result is a false statement.
Answers
Answer: C. Yes. When –4 is substituted for the variable, the result is a true statement.
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT WILL HELP ALOT
Answer: It should be C,
Yes. When –4 is substituted for the variable, the result is a true statement.
HURRY ILL MARK BRAINLIEST
Answers
Answer:
It's A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
brainllest welcomed
what is the answer to this
Answers
Answer:
23
Step-by-step explanation:
3+3=6
6+2=8
8+4=12
12+2=14
14+2=16
16+1=17
17+2=19
19+2=21
21+2=23
Answer:23
Step-by-step explanation:
What is the answer? If the base of the pyramid is 18 inches squared and the height is 4 inches. What is the volume?
Answers
Answer:
V = 432 inches^3
Step-by-step explanation:
V = 1/3 (18)^2 (4)
V = 1/3 (1296)
V = 1296/3
V = 432
107 +9+13=
Please help
Answers
Rewrite the equation in slope intercept form
3y=2x+15
Answers
Answer:
2/3
Step-by-step explanation:
y=2/3x + 5
Slope intercept form
y= mx+b.
common fruction
2/3+4/3
Answers
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{2}}}}[/tex]
Step-by-step explanation:
While performing the addition or subtract of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same. Thenafter, obtained fractions should be reduced into lowest terms if there is any common on numerator and denominator.
Sum of like fractions = [tex] \sf{ \frac{Sum \: of \: their \: number}{Common \: denominator}} [/tex]
Difference of like fractions = [tex]\sf{ \frac{Difference \: of \: their \: numerator}{Common \: denominator}} [/tex]
[tex] \underline{ \text{Let's \: start}}: [/tex]
[tex] \sf{ \frac{2}{3} + \frac{4}{3} }[/tex]
[tex] \sf{ \: ➳ \: \frac{2 + 4}{3} }[/tex]
[tex] \sf{➳ \: \frac{6}{3} }[/tex]
[tex] \sf{➳ \boxed{2}}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
What type(s) of symmetry does the figure have?
Answers
Answer:
both points and rotational only
Answer:
I would say point and rotational symmetry SUPER MEGA sorry if im wrong
(b^5)^3 x b^4 simplify
Answers
I hope this helps:D
Answer:
b^19
Step-by-step explanation:
In the first factor, we need to use a formula to simplify. The formula is x^a^b = x^(ab). So that means that our first factor simplifies to b^15. Then we add up the powers to simplify it even more. b^15 * b^4 = b^19 using another formula. Therefore b^19 is the answer.
H=2.9L+78.1
About how tall would the male have been if the length of the humerus measured 39 cm?
Answers
Answer:H=191.2
Step-by-step explanation:
H=2.9(39)+78.1
H=113.1+78.1
H=191.2 cm
4. Tom borrowed $600 at 10% per year, simple interest, for 3 years. How much did he have to repay (principal
interest) at the end of the 3 year period? ??
Answers
Answer:
$180
Step-by-step explanation:
Seema bought a new pair of jeans that were on sale. The original price of the jeans was $56. The store had marked them down by 25 percent, and Seema had a 20 percent off coupon as well. Original price: $56 25% 25% 25% 25% $42 20% 20% 20% 20% 20% $8.40 $8.40 $8.40 $8.40 What was the price of the jeans before tax?
Answers
Given :
The original price of the jeans was $56.
The store had marked them down by 25 percent and Seema had a 20 percent off coupon as well.
To Find :
The price of the jeans before tax.
Solution :
Discount offered by store :
Discount = 0.25×56 = $14 .
Selling price = $( 56 - 14 ) = $42 .
Discount offered through coupon on selling price :
Discount = 0.20×42 = $8.4 .
Final price = $( 42 - 8.4 ) = 4= $33.6 .
Therefore, the price of the jeans before tax is $33.6 .
Hence, this is the required solution.
Answer:
33.60
Step-by-step explanation:
Took the quiz
30 Points, Will mark Brainliest' !
The values in the table represent a linear function.
What is the function rule?
Write the rule in function notation, using the slope-intercept form of a line.
Enter your answer in the box.
F(x)= ____
Answers
Answer:
f(x) = 4x - 3Step-by-step explanation:
Given the table of domain and range
Using the points, lets find the slope-intercept form
y = mx + bThe slope
m = (5-1)/(2-1) = 4/1 = 4y-intercept
5 = 4*2 + bb = 5 -8b = -3So the function is
y = 4x - 3orf(x) = 4x - 3Please help its due at 10:30 AM
DF=
JH=
GJ=
m
m
m
Answers
Answer:
DF=16
JH=14
GJ=19
(15 / 5)+9+(14 - 5 )*3
Answers
Answer:
39
Step-by-step explanation:
(15 / 5)+9+(14 - 5 )*3
Answer: 39
Step-by-step explanation:
I started with simplifying 15/5 to 3
3+9+(14 - 5)*3
Than Simplified (14 - 5) to 9
3+9+9*3
Next, I did 9*3 due to PEMDAS
3+9+27
Finally, I added it all together to get 39
Pls help I didn’t get this one
Answers
Answer:
900
Step-by-step explanation:
( n − 2 ) × 180
n=sides
( 7-2)x180= 900
Evaluate a−b if a=−2.5 and b=25 . Write your answer in simplest form.
Answers
Answer:
-27.5
Step-by-step explanation:
-2.5-25=
-27.5
Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.
Who is correct and why? Use the drop-down menus to explain your answer.
Answers
Answer:
Hannah is correct
Step-by-step explanation:
If it's a repeating decimal, is would be represented by 2.11 ..... But, that's not how it's represented. Therefore, Hannah is correct.
I hope this helps!
Janet is three years older than her sister Julie. Janet’s brother is eight years younger than her sister Julie. The sum of all their ages is 55 years.
Answers
23+20=43
43+ 12=55
Clarissa sells handmade bracelets for each. The graph below shows her profits after expenses.
What does the point represent?
Answers
It represents how many bracelets she sold and the profit she makes from it.
Please Help!!! I need help
Answers
Answer:
I cant see anything
Step-by-step explanation:
SRY U_U
A full glass of water can hold 1/6 of a bottle.
How many glasses of water can be filled with 32 bottles of water?
Answers
Answer:
192 glasses of water
Step-by-step explanation:
32 : 1/6 =
32 * 6/1 =
192 glasses of water
Edited[36 * 6/1] to [32 * 6/1 ]
