Dave says:
The only quadrilateral with two lines of symmetry is a rectangle.
Is Dave correct?
Explain your answer
Answers
Answer:
a rectangle is having 4 lines of symmetry but a trapezium is having 2 lines of symmetry
The quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.
Quadrilateral- Quadrilateral is a type of polygon with closed shaped which has four sides, four angles and four vertices. The sum of this interior angle are always equal to 360 degrees.Rectangle- A rectangle is a type of polygon and closed two dimensional figure with four sides, four angles and four vertices. In the rectangle the length of the opposite side are equal. Rectangle has two lengths and two widths.Statement of the Dave- The only quadrilateral with two lines of symmetry is a rectangle-A quadrilateral with two lines of symmetry means the line about which one part of figure is mirrored to the other image. such quadrilateral with two lines of symmetry will become the rhombus shape. The shape is similar to the kite shape. Thus the above statement is not correct.
By the above discussion we conclude that the quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.
For more about the quadrilateral follow the link below-
https://brainly.com/question/6321910
Related Questions
What is the anti derivative of f'(x)=19x+15?
Answers
Answer:
Part A: [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x + C[/tex]
Part B: [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x - 5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Functions
Function NotationCalculus
Differentiation
DerivativesDerivative NotationDifferential Equations
Integration
Integrals[Indefinite Integrals] Integration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f'(x) = 19x + 15[/tex]
Step 2: Find Antiderivative
[Derivative] Integrate both sides: [tex]\displaystyle \int {f'(x)} \, dx = \int {19x + 15} \, dx[/tex][Left Integral] Simplify: [tex]\displaystyle f(x) = \int {19x + 15} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle f(x) = \int {19x} \, dx + \int {15} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle f(x) = 19 \int {x} \, dx + 15 \int {} \, dx[/tex][Integrals] Integration Rule [Reverse Power Rule]: [tex]\displaystyle f(x) = 19 \bigg( \frac{x^2}{2} \bigg) + 15x + C[/tex]Simplify: [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x + C[/tex]Step 3: Find Particular Solution
Substitute in function value [Function f(x)]: [tex]\displaystyle 87 = \frac{19}{2}(-4)^2 + 15(-4) + C[/tex]Evaluate: [tex]\displaystyle 87 = 92 + C[/tex]Solve: [tex]\displaystyle C = -5[/tex]Substitute in C [General Solution]: [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x - 5[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differential Equations
A number N divided by -9 is -16
Answers
Answer: no
Step-by-step explanation:
algebraic expression for "a number , n, divided by 4 is 4. I
what is this graph in equation form
Answers
Answer:
A linear graph
PLEASE HELP WILL GIVE BRAINLIEST!!! PLEASEEE NO S P A M!!!!!
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 5 hours at 950 km/h, how long would it take at 850 km/h?
I know the answer is 5.588 but why like what are the steps to solve it?
Answers
Answer:
Step-by-step explanation:
find distance traveled: [tex]\frac{950 km}{1 hr}*{5 hrs}[/tex] = 4750 kmtotal distance / new speed: [tex]\frac{4750 km}{850 km/hr} = 5.5882 hrs[/tex]Determine the slope and y-intercept of the line represented in the table below.
Answers
Answer:
i don't know . i did this in sixth grade and i failed
Step-by-step explanation:
Need help with this question ASAP!!!!!!
Answers
Answer:
47
Step-by-step explanation:
A right triangle is 90 degrees
90-12-31=47
In the function, f(x) = 6x2 – 4 , what is the value of f(-2)?
Answers
Answer:
f(-2) = 14
Step-by-step explanation:
f(-2) = 6(-2) 2 - 4
f(-2) = -12 + 2 - 4
f(-2) = -10 - 4
f(-2) = -14
Help me with this someone, please!
Answers
Answer:
-45 I think
Step-by-step explanation:
6 × (-7) - 3
-42 - 3
-45
Sorry if this is wrong
A farmer plants 22,680 wheat plants in 126 rows. Each row contains the same number of plants. How many wheat plants are in each row?
Help me please
Answers
Answer:
180 plants per row
Step-by-step explanation:
This is a division problem.
When he places 22,680 plants in 126 rows, he is dividing the 22,6980 plants by 126 rows.
22,680/126 = 180
Answer: 180 plants per row
180 wheat plants in each row
Step by step explaintion:
22,680 wheat plants ➗ 126 rows = 180 wheat plants per row
Final answer:
180 wheat plants per row or 180 wheat plants in each row
There are 4 stars 4 green circles and 7 red circles what's the ratio of blue stars to red circles
Answers
Answer:
4 to 7 *maybe
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 15 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles. Do not include the degree symbol in your answer.
Answers
Answer:
x = 45
y = 60
z = 75
Step-by-step explanation:
We can create three different equations with the given variables:
x + y + z = 180
y + z = 3 x
z = y + 15
then we can use this last equation to substitute for 'z" in the second equation:
y + z = 3x
y + y + 15 = 3 x
2 y + 15 = 3 x
x = 2/3 y + 5
Then we can re-write the first equation in terms of y and solve for this unknown:
2/3 y + 5 + y + y + 15 = 180
2/3 y + 2 y = 160
8/3 y = 160
y = 3 * 160 /8
y = 60
Then x = 2/3 (60) + 5 = 45
so x = 45
and finally: z = 60 + 15 = 75
so z = 75
2^{51} mod 22 in words, two to the power of fifty-one mod twenty-two
Answers
Since 2⁵ = 32, and
2⁵ ≡ 32 ≡ 10 (mod 22),
we have
2⁵¹ ≡ 2 • 2⁵⁰ ≡ 2 • (2⁵)¹⁰ ≡ 2 • 10¹⁰ (mod 22)
Now consider 10¹⁰ (mod 22):
10 = 2 • 5
10¹⁰ ≡ 2¹⁰ • 5¹⁰ ≡ (2⁵)² • 5¹⁰ ≡ 10² • 5¹⁰ ≡ 2² • 5¹² (mod 22)
so that
2⁵¹ ≡ 2³ • 5¹² (mod 22)
Now consider 5¹² (mod 22):
5 and 22 are coprime, and ɸ(22) = 10 (where ɸ(n) is the Euler totient function). By Euler's theorem,
5¹² ≡ 5² • 5¹⁰ ≡ 5² • 1 ≡ 25 ≡ 3 (mod 22)
and so
2⁵¹ ≡ 2³ • 3 ≡ 24 ≡ 2 (mod 22)
Another, more tedious method: Start with smaller powers of 2 and look for a pattern.
2 ≡ 2 (mod 22)
2² ≡ 4 (mod 22)
2³ ≡ 8 (mod 22)
2⁴ ≡ 16 (mod 22)
2⁵ ≡ 32 ≡ 10 (mod 22)
2⁶ ≡ 2 • 32 ≡ 2 • 10 ≡ 20 (mod 22)
2⁷ ≡ 2 • 20 ≡ 40 ≡ 18 (mod 22)
2⁸ ≡ 2 • 18 ≡ 36 ≡ 14 (mod 22)
2⁹ ≡ 2 • 14 ≡ 28 ≡ 6 (mod 22)
2¹⁰ ≡ 2 • 6 ≡ 12 (mod 22)
2¹¹ ≡ 2 • 12 ≡ 24 ≡ 2 (mod 22)
2¹² ≡ 2 • 2 ≡ 4 (mod 22)
and so on, with a cyclic pattern of length 10. That is, [tex]2^{10k+1}\equiv2\pmod{22}[/tex] for any integer k ≥ 0. So 2⁵¹ ≡ 2 (mod 22).
A study found that on average there were 566,000 tweets per hour.
Using this data, how many tweets are there per minute?
A
33, 960,000
B
13,584,000
С
18,866.6
D
9,433. 3
Answers
Work Shown:
566,000 tweets = 1 hour
566,000 tweets = 60 minutes
566,000/60 tweets = 60/60 minutes .... divide both sides by 60
9,433.3 tweets = 1 minute
There were roughly 9,433.3 tweets per minute.
Please help me I believe the answer is b correct me if I’m wrong
Answers
Answer:
71°
Step-by-step explanation:
h = 71° ( corresponding angles)
In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x Cost, y 2 8.50 5 15.25 8 22.00 12 31.00 What is the y-intercept of this function? 2.25 4.00 6.50 17.13
Answers
Answer:
B. 4.00$
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find an equation of the line that satisfies the given conditions.
Through (−1, −2); perpendicular to the line 2x + 7y + 6 = 0
Answers
if two lines are perpendicular it means their slopes are negative reciprocals of one another. So, if the slope of the given line is 2, the slope of the line we are trying to find is -1/2.
To find “b” (the y-intercept) we have to plug in the given point into y=mx+b with the slope we just found;
y = mx+b
-2 = (-1/2)(-1) + b
-2 = 1/2 + b
-2 - 1/2 = b
-5/2 = b
the EOL is y = -1/2x - 5/2
In the diagram above, 24 = 240°.
Find the measure of Z3.
23 = [ ? 1°
Answers
Answer:
∠3 = 140Step-by-step explanation:
∠4 + ∠3 = 180
40 + ∠3 = 180
∠3 = 180 - 40
∠3 = 140
(a) Explain how the Fundamental Theorem of Algebra is used to determine the number of roots for
2x^2 + 3x +5
(b) What are the roots of 2x^2 + 3x + 5? Show your work. Explain why you chose the method you used to find
the roots.
Answer:
Answers
Answer:
Step-by-step explanation
2x²+3x+5 roots means the zeros
So the method we will use is quadratic formula it's will tell us from the start whether this equation have a real solution no solution or one solution only calculating its discriminant
b²-4ac=3²-4(3)(5)
9-60=-51
If the discriminant is < 0 means the equation have no solution
John saved $50,000. and wants to put the money into an Index Annuity that pays an average of 8.4% per year, compounded semi-annually. How long will it take him to reach his goal of $1,000,000?
Answers
Answer:
Divide 50,000 by 8.4...get that number and add it to the 50,000, divide again by 8.4 and add back, repeat until you reach 1,000,000... happy adding
please help it’s due today
Answers
Answer:
-3
Step-by-step explanation:
1 - 4 = -3
2 - 1 = 1
(-3) / 1 = (-3)
A plant was 46 centimetres tall. After a month it had grown 7% taller. How tall was the plant after a month?
Answers
Answer:
49.22 centimeters.
Step-by-step explanation:
7% of 46 is 3.22 which means you add 46 to 3.22and u get the answer 49.22
Step-by-step explanation:
C.18 of the houses are for sale How many houses are for sale?
Answers
Step-by-step explanation:
18 ..............hope it helps
The student government snack shop sold 32 items this week. for each snack type, what percentage of all snacks sold where of that type
Answers
Answer:
0.02 Sorry If it isn't right.
Step-by-step explanation:
-16 + (unknown) = -6
Answers
Answer:
10
Step-by-step explanation:
Can you helps me put them into each category you can just say the first one is blank and so on
Answers
Answer:
1st: parallel
2nd: perpendicular
3rd: neither
4th: neither
5th: neither
6th: parallel
Step-by-step explanation:
The box plots compare the number of students in Mr. Ishimoto’s classes and in Ms. Castillo’s classes over the last two semesters. A number line goes from 22 to 42. Mrs. Ishimoto's class's whiskers range from 28 to 40, and the box ranges from 31 to 35. A line divides the box at 33. Mr. Castillo's class's whiskers range from 24 to 38, and the box ranges from 30 to 34. A line divides the box at 31. Which statement is true about the box plots? Select three options.
Answers
Answer: B,D,E
Step-by-step explanation:
Answer:
2, 4, 5
Step-by-step explanation:
:)
Tia picked 56 ounces of blueberries. She used 8 ounces to make muffins and packed the remaining blueberries into 12-ounce packages. Which expression can be used to find the greatest number of packages of blueberries that Tia packed? ;-;
Answers
Do 56-8 then divide that answer by 12
Answer:
4.25
Step-by-step explanation:
A is plotted on a coordinate grid at (-3 1/2,1) choose the correct grid that best shows the location of the point
Answers
Hi there! Please provide the graphs in the question so that I can determine which is the right one.
Answer is c
Step-by-step explanation:
c
are the triangles congruent ? if they are state how they are congruent .
Answers
Answer:
Step-by-step explanation:
Not congruent
Better to say that there is not enough information to say, "Triangles are congruent"
Evaluate the expression when a = 4 and c = -4. -a +2c
Answers
Answer:
-12
Step-by-step explanation:
-(4)+2(-4)=-12
I hope this helps!!