Answers
Answer:
[tex]140[/tex]
Step-by-step explanation:
A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:
[tex]3a+b+3=2a+2b+6[/tex]
Solving, we will get a in terms of b:
[tex]3a=2a+b+3,\\a=b+3[/tex]
Now we can substitute a for (b+3) into our equation:
[tex]5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}[/tex]
Therefore, the length of each side of this polygon is [tex]5(4+3)-2(4)+1=28[/tex].
Since the perimeter of the polygon consists of all five sides, the perimeter is:
[tex]p=28\cdot 5 =\boxed{140}[/tex]
Set the 2 sides lengths equal to each other. Solve for the variables. Then add all sides together, plugging in the values of the variables. The bottom side is the same as the 2 top sides (bottom side X 3)
Related Questions
A taste test asks people from Texas and California which pasta they prefer,
brand A or brand B. This table shows the results.
A person is randomly selected from those tested.
Are being from California and preferring brand B independent events? Why or why not?
Answers
Option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.
What is probability?
Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Total number of people in Texas = 275
Total number of people in California = 150
Total number of people in California and preferring brand B = 54
Probability of people in California,
P(California) = Number of people in California / Total number of people
⇒ [tex]\frac{150}{275}[/tex]
⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]
Probability of people in California and preferring brand B
P(California | brand B) = Number of people in California and preferred brand B / Number of people preferred brand B
⇒ [tex]\frac{54}{99}[/tex]
⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]
In the data provided, each event is not dependent on other events.
Thus they are independent events.
Hence we can conclude that option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.
Learn more about probability here
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Natasha walked from the library to the grocery store then to her house. The diagram shows the top of the locations of these three places and their distances from each other.
Which measurement is closest distance in miles from Natasha’s house to the library?
A. 2.6 mi
B. 1.9 mi
C. 1.4 mi
D. 2.3 mi
PLEASE HELP!!!!
Answers
B
Step-by-step explanation:
a^2+b^2=c^2
1.7^2+0.9^2=x^2
2.89+0.81=x^2
3.7=x^2
x=about 1.9
Preciso de ajudar nessa questão que segue em anexo.
Answers
Answer: $85
Step-by-step explanation:
Não falo português mas tentarei ajudar.
Multiplique 6 2/3 e 3 1/7.
6 2/3 x 3 1/7 = 20 20/21
Dividir 20 20/21 e 5.
20 20/21 / 5 = 4 4/21.
Precisa de cinco latas de tinta.
5 x $17 = $85
A regular polygon has an interior angle of 171 degrees. Show your work. (3 points for work, 3 points
for correct answers)
a) How many sides does it have?
b) What is the sum of the interior angles?
c) What is the measure of one of its exterior angles?
Answers
Answer:
a) 40 sides
b) 6840
c) 9 gegrees
Step-by-step explanation:
interior angle= (n-2)180
n
[tex] (n - 2)180 \div n = 171 \\ 180n - 360 = 171n \\ 180n - 171n = 360 \\ 9n = 360 \\ n = 360 \div 9 = 40 \\ [/tex]
so total number of sides is 40
b) Sum of interior angles= (n-2)×180
(40-2)×180
38×180
6840
c) Exterior angle = 360 ÷ n
360÷40 =9 degree
The ratio of footballs to total pieces of equipment is... and we have 2 baseballs and 6 footballs
Answers
Answer:
1:3 ............... ......
Find the function value. f(-2) if f(x) = -x + 31
Answers
Answer:
33
Step-by-step explanation:
In f(x) = -x + 31 replace each instance of x with -2:
f(-2) = -(-2) + 31 = 33
What is the slope of the line
Answers
Answer:
0
Step-by-step explanation:
Line is parallel to the x-axis,
Therefore slope = 0
(Any line which is parallel to the x-axis has zero slope)
Katniss is a good hunter, gatherer, and caretaker.
Simple or Compound? And why...
Answers
Answer:
It is compound because it is explaining
Step-by-step explanation:
Answer:
Simple, It's As Simple As Possible
find the surface area
Answers
Answer:
aww you had my question opennnn
Step-by-step explanation:
Which of the relations given by the following sets of ordered pairs is not a function?
HELPPPPP :((((( IF YOU SEND LINK I WILL REPORT YOU
Answers
Answer:
Hi, there your answer will be C.
Step-by-step explanation:
The reason why is because X(Input) can not be repeated the same
for example the coordiante( 1,3) and (1,4). See there are two ones which make them not function
Also, if you're having trouble with Functions and nonfunctions
REMEMBER THS
Function: X and y has to be separarte and can't have the same X
NON-FUNCTION- WHEN X REPEATS ITSELF
Hope this helps :)
Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has two different types of decorations: balloons and streamers. The first bag has 11 balloons and 6 streamers. The second bag has 15 balloons and 4 streamers. The last bag has 6 balloons and 12 streamers. Bag 1 costs $91, bag 2 costs $99, and bag 3 costs $102. How much does each type of decoration cost?
Answers
Answer:
b = $5
s = $6
Step-by-step explanation:
this can be solved using simultaneous equation
s = streamers
b = balloons
either of the 3 equations can be used to determine the price of the items
11b + 6s = 91 equation 1
15b + 4s = 99 equation 2
multiply equation 1 by 4 and equation 2 by 6
44b + 24s = 364 eqn 3
90b + 24s = 594 eqn 4
subtract equation 3 from 4
230 = 46b
b = 5
substitute for b in eqn 1
55 + 6s = 91
s = 6
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answers
Answer:
I think it's d sorry if wrong
Answer:
2 lb 1 oz
Step-by-step explanation:
There are 16 ounces in one pound, and since one candy bar weighs 3 ounces 3 x 11 = 33. 33 Ounces is equal to option D :)
Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $4.25 per hour. Waitress B is offering her services for an initial $23 in addition to $3.25 per hour. When will the two waiters charge the same amount of money?
At _ hours, both waiters will charge the same amount, $_.
Answers
Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c/d). Find the value of c and the value of d
Answers
Answer:
[tex]c = -6[/tex]
[tex]d = -1[/tex]
Step-by-step explanation:
Given
See attachment for grid
Required
Find c and d
From the attachment, we have:
[tex]a = (3,5)[/tex] --- Point on A
[tex]a' = (-3,-6)[/tex] --- Corresponding point on B
When A is reflected across the x-axis, the rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](3,5) \to (3,-5)[/tex]
Next, is to calculate the translation from [tex](3,-5)[/tex] to [tex](-3,-6)[/tex]
This is calculated using:
[tex]3 + c = -3[/tex]
and
[tex]-5 + d = -6[/tex]
So, we have:
[tex]3 + c = -3[/tex]
[tex]c = -3-3[/tex]
---- i.e. Shift by 6 units to the left
[tex]-5 + d = -6[/tex]
[tex]d = 5 - 6[/tex]
[tex]d = -1[/tex] --- i.e. Shift by 1 unit down
how many sides do tahe polygon have?
Answers
Triangle - 3 Sides Square - 4 Sides
Pentagon - 5 Sides Hexagon - 6 sides
Heptagon - 7 Sides Octagon - 8 Sides
Nonagon - 9 Sides Decagon - 10 Sides
Answer:
Triangle 3
Quadrilateral 4
Pentagon 5
Hexagon 6
x-7y=4,5x-4y=-11 solve system of equations by substitution
Answers
multiply 1st eqn by 5
so it can be canceled and again u get value of y will be 1 and sagain put tha value of y in eqn 1 so that u can get the value of x
a/7 =9
a=?
What does a=?
Answers
Answer:
a = 63
Step-by-step explanation:
Let's double check,
63 ÷ 7 = 9
---------
I got the answer by multiplying the 9 and the 7, making it 63.
---------
Have a good day :)
Answer:
A is equal to 63
Step-by-step explanation:
How you ask? multiply 7 on both sides. 9×7 is 63
hello please help i’ll give brainliest
Answers
Answer:
b
Step-by-step explanation: it the only one make scence
Answer:
Abiotic would be the correct answer!
Hope this helps!
help please it would be very much appreciated!!!!!!
thank you
Answers
26^2 - 22^2 = 192, take the sqrt of that C:
(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°
Answers
Answer:
b
Step-by-step explanation:
What is the vertex of the function f(x) = x2 + 12x?
O (-6, -36)
O (-6, 0)
O (6,0)
O (6, -36)
Answers
Answer:
A. -6,-36
Step-by-step explanation:
Right on EDG 2021.
The vertex of the function f(x) = x² + 12x is (-6, -36).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
f(x) = x² + 12x
Vertex of a quadratic function of the form f(x) = ax² + bx + c is the point (-b/2a, f(-b/2a))
Here, a = 1, b = 12 and c = 0
-b/2a = -12 / 2 = -6
f(-b/2a) = f(-6)
= (-6)² + (12 × -6)
= 36 - 72
= -36
Hence the vertex of the given function is (-6, -36).
Learn more about Quadratic Functions here :
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BRAINLIEST IF CORRECT, NO LINKS OR SPAM ALLOWED
Answers
Answer:
b: 100
c:yes
d: younger, more, small/younger
Step-by-step explanation:
You owe $1,350.00 on a credit card with a 14.25% APR. You pay $300.00 at the beginning of
the month How much interest do you save by paying at the beginning of the month versus
at the end of the month?
Answers
What kind of triangle is this?
Answers
Answer:
answer: obtuse
Step-by-step explanation:
Hope that helps!
a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2
Answers
Answer:
[tex]2( {x + 7})^{2} + 5[/tex]
Step-by-step explanation:
Our Standard form for each of these transformations is
[tex]a( {x + h)}^{2} + k[/tex]
Insert each value into the appropriate.
K is for vertical movement
h is for horizontal
a is for stretching/compression
translate the sentence into an equation.
six more than the product of a number and 3 equals 4
use the variable x for the unknown number.
Answers
Answer:
6 + 3x = 4
Step-by-step explanation:
6 + 3x = 4
More means addition: 6 +
Product means multiplication: 3 × x = 3x
Equals means an equal sign: = 4
To solve for x, isolate the variable:
6 + 3x = 4
3x = -2
x = -2/3
PLEASE HELP ME WITH THIS THANK YOU!!!! 12 points!!
Answers
Answer:
D
Step-by-step explanation:
find the area of a trapezoid
Answers
Answer:
the right answer is
270 squared unit
HELP PLEASE Find the slope of the linear model
Answers
Answer:
Take two values
31.5-27/1= 4.5
Hence slope is 4.5x
I didn't mean to press that answer but please help.
Answers
Answer:
D
Step-by-step explanation:
There are FOUR equal sides so we eliminate some of the shapes that dont have equal sides.
We need a FOUR sided shape so we eliminate all the shapes that DONT have 4 sides.
We are now left with:
Square and rhombus.