Anton has 4 tiles.
One is a regular hexagon, one is a regular pentagon and two are equilateral triangles.
Anton thinks the 4 tiles will fit together perfectly, as shown in the diagram.
Show calculations to prove that he is wrong.
Answers
Answer:
Anthon is wrong (il dit des carabistouilles)
Step-by-step explanation:
It is a question of angle.
[tex]\widehat{\gamma}=180^o-\dfrac{360^o}{5} =108^o\\\\\widehat{\beta}=180^o-108^o=72^o\ and\ not\ 60^o\\[/tex]
The exterior angle of the pentagon is not equal to the interior angle of the equilateral triangle. So, he is incorrect.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Anton has 4 tiles. One is a regular hexagon, one is a regular pentagon and two are equilateral triangles. Anton thinks the 4 tiles will fit together perfectly, as shown in the diagram.
The exterior angle of the hexagon is given as,
⇒ 360° / 6
⇒ 60°
The exterior angle of the pentagon is given as,
⇒ 360° / 5
⇒ 72°
And the internal angle of the triangle is given as,
⇒ 180° / 3
⇒ 60°
The exterior angle of the pentagon is not equal to the interior angle of the equilateral triangle. So, he is incorrect.
More about the polygon link is given below.
https://brainly.com/question/17756657
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Related Questions
Can someone please answer this question.
Answers
Use the Pythagorean theorem to solve for the diagonal distance
Diagonal = sqrt(50^2 + 150^2)
Diagonal distance = sqrt(25,000)
Diagonal distance = 158.11 feet
Round to 158 feet.
If the stayed on the sidewalk they would walk 50 + 150 = 200 feet.
The distance they saved = 200-158 = 42 feet
Answer: 42 feet.
465,321;456,321;456,231. Order from least to
greatest
Answers
A sheet of standard-size copy paper measures 8.5 in. by 11 in. If a ream (500 sheets) of this paper has a volume of 187(to the third power) in. , how thick is the ream.
I need an explanation on how to do it please.
Answers
============================================================
Explanation:
The area of any given sheet of paper is 8.5*11 = 93.5 square inches.
Divide the volume over this area to get the height of the stack
187/(93.5) = 2
The stack is 2 inches tall.
Extra info: The thickness of each piece of paper is 2/500 = 0.004 of an inch which approximates to about 0.1016 mm.
6(-3m+1) = 5(-2m-2)
I need help lol
Answers
Answer:
2
Step-by-step explanation:
you multiply the 6 and 5 to the parethinsis and simplify
Perpendicular to the line y=4x+8 and contains the point (-8,4) in standard form.
Answers
पाठका सहायताले तलका उखानहरूको अर्थ लेख्नुहोस् : (क) सपनामा खोले खाएको भनेको यही हो
Answers
Answer:
pura na hune kaam hunxa vanera jabarjasti garnu. maybe
8.4 Sampling on Campus. You would like to start a club for psychology majors on campus, and you are interested in finding out what proportion of psychology majors would join. The dues would be $35 and used to pay for speakers to come to campus. You ask five psychology majors from your senior psychology honors seminar whether they would be interested in joining this club and find that four of the five students questioned are interested. Is this sampling method biased, and if so, what is the likely direction of bias
Answers
Answer:
To convert the measurements of metric system into another units of metric system we have to either multiply it by 10, 100, 1000, 10000, 100000, etc or divide by 10, 100, 1000, 10000, 100000, etc.
If we have to convert bigger unit into smaller unit then we have to multiply the unit by the multiples of 10, then the decimal point is shifted to right by 1 or 2 or 3 or 4 , etc. places.
For example, 1.2 kg is converted into g so we have to multiply it by 1000, so decimal point is shifted to right by 3 places, i.e.,
1.2 x 1000 = 1200 g
If we have to convert smaller unit into bigger unit then we have to divide the unit by the multiples of 10, then the decimal point is shifted to left by 1 or 2 or 3 or 4 , etc. places.
For example, 12 cm is converted into m so we have to divide it by 100, so decimal point is shifted to left by 2 places, i.e.,
12 / 100 = 0.12 m
Step-by-step explanation:
pls give me answer fast and thank you
Answers
Answer:
1) [tex]\frac{x+3}{2x-5}=\frac{3}{2}[/tex] (x ≠ 2,5)
=> 2(x + 3) = 3(2x - 5)
⇔ 2x + 6 = 6x - 15
⇔ 4x = 6 + 15
⇔ 4x = 21
⇔ x = 5,25
2) [tex]\frac{5y-2}{2y+8}=\frac{5}{6}[/tex] (y ≠ -4)
⇒6( 5y - 2) = 5(2y + 8)
⇔30y - 12 = 10y + 40
⇔ 20y = 52
⇔ y = 2,6
3) the denominator of the rational number is x (x ≠ 0)
because the denominator is greater than the numerator by 6
=> the numerator is x - 6
If the numerator is decreased by 1 and the denominator increased
by 1 , the number obtained is 1/3. so we have:
[tex]\frac{x-7}{x+1}=\frac{1}{3}[/tex]
⇒ 3(x - 7) = x + 1
⇔ 3x - 21 = x + 1
⇔ 2x = 22
⇔ x = 11
with x = 11 => the rational number is 5/11
4) the number we need to find is ab (a ≠ 0)
because Sum of the digits of this number is 8
=> a + b = 8 (*)
When we interchange the digits , it is found that the resulting new number is less than the original number by 18, we have:
ab - ba = 18
⇔ 10a + b - (10b + a) = 18
⇔ 9( a - b) = 18
⇔ a - b = 2 (**)
(*)(**) => a + b = 8
a - b = 2
=> a = 5
b = 3
=> the original number is 53
5) the present Arjun's age is x (years old)( x, y E N*)
the present Shriya's age is y
because now, Arjun is twice as old as Shriya => x = 2y
Five years ago, his age was three times Shriya’s age, we have:
=> x - 5 = 3(y - 5)
⇔ x - 5 = 3y - 15
⇔ 3y - x = 10
but x = 2y => y = 10
=> x = 20
so now, Arjun is 20 years old, Shriya is 10 years old
Step-by-step explanation:
Algebra Nation Section 1 Topic 4 Question 7
Answers
BRAINLIEST!! The product of two numbers is 144, but their sum is –24. What are these two numbers?
A. -22 and -2
B. -12 and -12
C. -20 and -4
D. -10 and -14
Answers
Answer:
B .-12 and -12
Step-by-step explanation:
it is because when we multiply two -digit the answer is in +
so like in the same -12 * -12=144
And when we add the digit we get -24
Hence, it is proved
Please awnser
Find m
Find m
Answers
Answer:
x = 37
m∠a = 104°
m∠b = 76
Step-by-step explanation:
Two supplementary angles will add up to 180 degrees. We can create an equation and solve for x.
3x - 7 + 2x + 2 = 180
~Combine like terms
5x - 5 = 180
~Add 5 to both sides
5x = 185
~Divide 5 to both sides
x = 37
~Find the measure of angle A
3(37) - 7
104
~Find the measure of angle B
2(37) + 2
76
Best of Luck!
359, 352,345,...
{Find the 38th term.}
Answers
Answer:
100
Step-by-step explanation:
Here, the series is in A.P.
first term a = 359
common difference d = 352-359 = -7
therefore, 38th term = a + [n-1] d
= 359 + (38 -1) (-7)
= 359 - 259
= 100
solve the equation 2x²-x-8=0
Answers
Answer:
[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]
Step-by-step explanation:
[tex]2x ^{2} - x - 8 = 0[/tex]
[tex]x = \frac{ - ( - 1)± \sqrt{( - 1 {)}^{2} } - 4 \times 2 \times ( - 8)}{2 \times 2} [/tex]
[tex]x = \frac{1± \sqrt{1 + 64} }{4} [/tex]
[tex]x = \frac{1± \sqrt{65} }{4} [/tex]
[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]
Answer:
[tex]x=\frac{-1+-\sqrt{65}}{4}[/tex]
Step-by-step explanation:
Using the quadratic formula,
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}\\x=\frac{-1+-\sqrt{-1^{2}+64}}{4}\\x=\frac{1+-\sqrt{65}}{4}\\[/tex]
What is 11x(-6)?
please answer i really need this!
Answers
Answer:
-66
Step-by-step explanation:
11 × (-6) = -66
Find the slope of the line through each pair of points (-15,-12),(-13,-19)
Answers
Answer:
-7/2
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-19-(-12)/-13-(-15)
-7/2
Best of Luck!
Which of the following uses scientific notation INCORRECTLY?
9.1 x 10 squared
4.23 x 10-2
75.3 x 102
O 8 x 10-6
Answers
two candles, each initial length of 30cm, are 20cm apart. the thinner candle burns at a rate of 1cm every 8 minutes and the other candle burn at a rate of 1 cm every 10 minutes. find two possible lengths for the distance between the tops of the two candles, if the candles can burn up for 3 hours.
Answers
Thinner candle:
y = length of the candle
x = rate it burns at every minute
y = -1/8x + 30
Thicker candle:
y = length of the candle
x = rate it burns at every minute
y = -1/10x + 30
To find the length after 3 hours:
y = -1/8(180) + 30
y = -1/10(180) + 30
The next student presents a monologue that is about 0.5 minutes long. What effect will this have on the graph?
The median will decrease.
The mean will decrease.
The median will increase.
The mean will increase.
Answers
Answer: The mean will decrease
Step-by-step explanation:
Answer:
the other person is correct
Step-by-step explanation:
John is saving to buy a new car. His parents gave him $50 to start off. And he earned $20 per day working at the dairy farm. Write an equation that represents the situation given.
What kind of math is this and how do I solve this?
Answers
Car A costs $10,000 to buy and costs an average of $0.25 per mile to maintain. Car B costs $15,000 to buy and costs an average of $0.15 per mile to maintain. After how many miles would the total cost for each car be the same?
Answers
Answer: respuesta A EN 40000 millas
en EN 1000000B
Step-by-step explanation
Solve the inequality
3(x-2)>-3
Answers
Answer:
x>1
Step-by-step explanation:
m at h w ay
Kendra bought 235 donuts for $120. Her profit was $35 once she had sold 100 donuts. Which equation below represents Kendra’s profit P(n), as a function of the number sold, n?
P(n)=0.85n-120
P(n)=-0.85n+120
P(n)=0.35n
P(n)=1.55n-120
Answers
P(n) = 1.55n-120
whats the perimiter of the following rectangle? The side says x - 2 and the bottom says 2x + 1
Answers
Answer:
6x-2
Step-by-step explanation:
The perimeter of a rectangle is found by
P = 2(l+w)
=2( x-2 + 2x+1)
Combine like terms
P = 2(3x-1)
Distribute
P = 6x-2
What is the midpoint of segment AB when A is at (5,7) and B is at (3,1)?
Answers
Answer:
(4, 4)
Step-by-step explanation:
A (5,7) and B (3,1)
To find the midpoint of a line segment, use this formula.
[tex]midpoint =(\frac{x^1+x^2}{2} ,\frac{y^1+y^2}{2} )[/tex]
(x1, y1) = coordinates of first point
(x^2, x^2) = coordinates of second point.
Basically, you add the coordinates x^1 and x^2, then divide the sum by 2. That would be your first coordinate.
Next, you add y^1 and y^2, then divide the sum by 2. That would be your second coordinate.
[tex]midpoint-(\frac{5+3}{2} ,\frac{7+1}{2})[/tex]
[tex]midpoint = (4, 4)[/tex]
Therefore, the midpoint of segment AB is (4,4).
Let me know if you have any further questions.
The midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).
The midpoint formula states that the coordinates of the midpoint between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are given by:
Midpoint = [tex]((x_1 + x_2)/2, (y_1 + y_2)/2)[/tex]
The coordinates of point A are given as (5, 7), and the coordinates of point B are given as (3, 1).
Plugging in the coordinates:
x-coordinate of the midpoint = (5 + 3)/2 = 8/2 = 4
y-coordinate of the midpoint = (7 + 1)/2 = 8/2 = 4
Therefore, the midpoint of segment AB is (4, 4).
Thud, the midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).
Learn more about midpoint here;
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helpppp quick please!! explanation and answers! thanks:)
Answers
Answer:
DO NOT CHEAT
Step-by-step explanation:
IT'S HARAM >:(
the owner of two hotels is ordering towels. he bought 11 hand towels and 22 bath towels for his hotel in Oxford, spending a total of $220. he also ordered 65 hand towels and 14 bath towels for his hotel in Greenpoint, spending $256. how much does each towel cost
Answers
Answer:
$4.25
Step-by-step explanation:
11+22+54+14=112
$220+$256= 476
476÷112=$4.25
Steven works at the Pi Day food truck and he gets paid $9 per hour x. If 1 point
last night he made $30 in tips, find his total pay equation p(x). (Standard 5-
HSF-IF.A.2) *
p(x)=9+30x
p(x)=39x
p(x)=39+x
p(x)=9x+30
Answers
the tips are a flat rate so it’s a constant 30 while the 9 per hour is dependent on the hours worked which is why it is attached to x as a coefficient
Simplify to create an equivalent expression.
Answers
Answer:
A
Step-by-step explanation:
Given
- k - (- 8k + 7) ← distribute parenthesis by - 1
= - k + 8k - 7 ← collect like terms
= 7k - 7 → A
Answer:
7k + 7
Step-by-step explanation:
-k - (-8k + 7)
-k + 8k + 7
7k + 7
give brainliest please I need it to level up
Melanie buys 2 goldfish per month. How many goldfish will she have after a year?
Determine whether this scenario represents a functional relationship or not.
Answers
Answer:
functional relationship
Step-by-step explanation:
2 goldfish per month
how many in a year
12 months in a year
24 goldfish in one year
-(x)+2)=2(3x-6) awnser
Answers
Answer:
[tex] -( x) + 2 = 2(3x - 6) \\ - x + 2 = 2 \times 3x - 2 \times 6 \\ - x + 2 = 6x - 12 \\ x \: terms \: togther \\ - x - 6x = - 12 - 2 \\ - 7x = - 14 \\ x = \frac{ - 14}{ - 7} = 2 \\ x = 2 \\ thank \: you[/tex]
