How many non-congruent squares can be drawn, such that their vertices are lattice points on the 5 by 5 grid of lattice points shown

Answers

Answer 1

9 non-congruent squares can be drawn.

What is non-congruent squares?

Non-congruent squares are two squares with different side lengths. These two squares can be drawn separately and still have four right angles and four equal sides, but the lengths of the sides are not the same. Non-congruent squares are a type of quadrilateral and have both diagonals and parallel sides. These shapes can be used to create a variety of geometric designs and patterns, and often appear in art and architecture.

Each of the four corners of the 5 by 5 grid can be the vertices of a square, and the middle of each side of the 5 by 5 grid can be the vertices of a square. This makes eight non-congruent squares in total. Additionally, the center point can be the vertex of another non-congruent square, making nine in total. All of these squares are constructed from lattice points, and none of them are congruent to each other.

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Related Questions

3 cm and 9 mm converted completely into centimetres to one decimal place is ____cm. Someone please help me it would be greatly appreciated :)

Answers

9mm in centimeters is 0.9

WILL GIVE BRAINLIEST TO CORRECT ANSWER
In a group of 23 students, 2 study both Art and Biology.

2 study Biology but not Art.

4 study neither subject.

Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

Answer:

Total number of outcomes = 23

number of biology and art students = 2

number of biology students = 2

Since it is given that all the students study art,

number of possible outcomes = 2

probability = number of favorable outcomes/number of total outcomes.

= 2/23

Therefore probability that the selected student studies both art and biology is 2/23.

In a random sample of 70 people, it was found that 44 of them were fans of the New York Yankees. What is the margin of error for the true proportion of all individuals who are fans of the New York Yankees? A. 0.0088 B. 0.058 C. 0.063 D. 0.116 E. 0.173

Answers

The margin of error for the true proportion of all individuals who are fans of the New York Yankees is 0.058.

The Correct option is (B).

How to find the margin of error?

The formula to calculate the margin of error  for the true proportion is;

M = √[p(1 - p)/n]

Given:

n= 40

p = 44/70

Now, The general formula for the margin of error would be:

z x √[p (1-p) ÷ n]

where:

z = values for selected confidence level

p = sample proportion

n = sample size

Since the confidence level is not given,

√[p (1-p) ÷ n]  

=√[44/70 (1 - (44/70) ÷ 70]

=√[0.6286 (0.3714)] ÷ 70

=√0.2335 ÷ 70

= √0.0033357

= 0.05775 or 0.058

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How do you graph a parent graph?

Answers

This is how you construct a parent graph - it is the simplest form of the function, and has a basic shape.

The most basic form of a function is a parent function. Its essential shape is not changed in any manner. In mathematics, some graphs are frequently seen. Because of this, the graphs of quadratic functions, square roots, absolute values, cubics, and cube roots are among the original, widespread functions that are referred to as parent graphs.

For instance, you should still be able to identify the parabola that has undergone various transformations when you view a u-shaped graph that has been inverted and stretched vertically.

We can take a few examples to understand this concept further.

For a quadratic equation, the parent graph is [tex]f(x) = x^{2}[/tex], which is a parabola. For a cubic equation, the parent graph is [tex]f(x) = x^{3}[/tex].

Hence, this is how you construct a parent graph - it is the simplest form of the function, and has a basic shape.

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Mr. Barth is painting an arrow on the school parking lot. He draws the edges between the following points on the coordinate plane: (–2, 2), (5, 2), (5, 6), (12, 0), (5, –6), (5, –2), (–2, –2).

Answers

Answer:

sorry

Step-by-step explanation:

Calculate the size of the angle marked 'x' in the pentagon shown below. Give your answer in degrees (°).

Answers

Answer: x= 96 degrees

Step-by-step explanation:

It we figure out the rest of the angles they would be (the outside ans inside angles are straight angles):

123+153+49+119= 444

Since the total of angles in a pentagon = 540 degrees

540-444 96 degrees

The measure of an angle x will be equal to 96°.

What is the Pentagon?

A Pentagon is a two-dimensional geometric shape that consists of five straight sides and five angles. It is a type of polygon, which is a closed shape with three or more sides.

The Pentagon is often used to represent the shape of buildings, monuments, and symbols in architecture and design.

If we figure out the rest of the angles they would be (the outside and inside angles are straight angles):

123+153+49+119= 444

Since the total of angles in a pentagon = 540 degrees

540-444= 96°

Therefore, the measure of an angle x will be equal to 96°.

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Augustus has made a pile of 2,000 candies, and he is giving away 25 candies a day from this pile. When will he have 350 candies left in this pile

Answers

y = -25x + 2000
350 = -25x + 2000
-1650 = -25
x = 66 days

3 chairs and 4 tables cost rs 7540. if the price of a chair is 220 find the price of table?

ans - 7120

Answers

Answer:

The price of a table is rs1720

Step-by-step explanation:

Let C and T be the individual prices of the tables and chairs.

We know that 3C + 4T = rs7540

We are then told that C = rs220, so we can enter that into the equation to find T:

3C + 4T = rs7540  

3(220) + 4T = rs7540  [for C = rs220]

660 + 4T = 7540

4T = rs6880

T = rs1720

Check:

Do 3 chairs at 220 each and 4 tables at 1720 each add to a total of 7540?

Chairs:   rs660

Tables:  rs6880

Total = rs7540  YES

Factor quadratic trinomials
2x^2+7x+6
3x^2+5x+2

With method X pleaseee:(

Answers

The first thing to do is look at the left hand side and factorise it. To do this we use the reverse of FOIL. Then when the expression is factorised, we can solve for x.

1. First find the skeleton with just x's:

(2x )(x )

2. Next, find 2 numbers that mutiply to make 6, and these go at the end of the brackets. This could be 6 and 1 or 2 and 3, or -6 and -1 or -2 and -3.

Since there is a 7x term, the 2 numbers must add to 7 when one of them is multiplied by 2 - due to the 2x term (2x ).

so (2x 3)(x 2) or (2x 2)( 3)

3. Trial and error shows us that (2x + 3)(x + 2) is the right answer.

4. Now set each bracket respectively to 0 and solve for x. The solutions are x = -3/2 and x = -2.

And there we have the answers!

Does anyone know the question to this ?? :(

Answers

Answer:

The ratio of the new area to the old area will be 16:1

Step-by-step explanation:

I remember learning this in class. The radius is quadrupled, which means the radius is 4 times bigger. This will make the new area 16 times bigger than the old area.

Let's check

Area of circle: 3.14 x r^2

Area of the circle when radius 6:

3.14 (6)^2 = 113.04 ft^2

Area of the new circle when the radius is quadrupled:

3.14 (24)^2 = 1808.64 ft^2

1808.64 divided by 113.04 = 16

So, the ratio of the new area to the old area will be 16:1

Yesterday, Jake ran 2 1/2 miles in 3/5 hour. Lance ran 3 3/4 miles in 5/6 hour. Who ran fastest?

Answers

Answer:

jake did :)

Step-by-step explanation:

hope this helps ! <3

Lance is fastest because the speed of the Lance is 4.5 miles/hour and Jale speed is 4.16 miles/hour as 4.5>4.16

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Jake ran = [tex]2\frac{1}{2}[/tex] miles = 5/2 miles

In 3/5 hours

Thespeed = (5/2)/(3/5) =  4.16 miles/hours

Lance ran = [tex]3\frac{3}{4}[/tex] miles = 15/4 miles

In 5/6 hours

The speed = (15/4)/(5/6) = 4.5 miles/hours

Thus, Lance is fastest because the speed of the Lance is 4.5 miles/hour and Jale speed is 4.16 miles/hour as 4.5>4.16

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6. Lines C and D below are cut by transversal, t. Which of
the following is true about the angles formed?

Answers

Answer:

m∠8 = m∠2, option G

Step-by-step explanation:

Angles 8 and 2 are alternate interior angles, which means they are equal. Thus, the answer is option G, m∠8 = m∠2

This composite figure is made up of three simpler shapes. What is the area of the figure? 68 square cm 83 square cm 59 square cm 33 square cm

Answers

Answer:

68 square cm

Step-by-step explanation:

the composite is made up of a triangle , rectangle and parallelogram

area of composite = area of triangle + area of rectangle + area of parallelogram

Area of parallelogram = base x height

9 x 2 = 18

area of triangle = 1/ 2 x base x height

1/2 x 6 x 5 = 15

Area of a rectangle = length x width

5 x 7 = 35

15 + 35 + 18 = 68

Here are several function rules. Calculate the output for rules 1–5 when you use -6 as the input for each rule. Simplify fractions and express in the form a/b if necessary and use the word pi for π
.

Answers

Answer: 13,36,-2,-2,pi

Step-by-step explanation:

You do exactly what it says for the rule to -6 to get your answer.

Use the FOIL Method to find (b+3)(b+7).

Answers

Step-by-step explanation:

968866j5x4cctyvcyvyvycycc

fill in the blank

The vertext of y= x^2-8x+18 is ( , )


PleASE HELP ASAP

Answers

Answer:

Vertex is at (4, 2)

Step-by-step explanation:

to find the 'x' value of the vertex, use 'x = -b/2a'

in this problem, a = 1, b = -8, c = 18

x = -(-8)/2(1)

x = 8/2

x = 4

plug 2 in for 'x' in equation and solve for 'y':

y = 4² - 8(4) + 18

y = 16 - 32 + 18

y = -16 + 18

y = 2

Vertex is at (4, 2)

Mashika: We already know from polling data that some segments of the electorate provide significant support to Ms. Puerta. If those segments also provide significant support to Mr. Quintana, then no segment of the electorate that provides significant support to Mr. Quintana provides significant support to Mr. Ramirez.

Salim: But actually, as the latest polling data conclusively shows, at least one segment of the electorate does provide significant support to both Mr. Quintana and Mr. Ramirez.

Among the following statements, which is it most reasonable to infer from the assertions by Mashika and Salim?

A. At least one segment of the electorate provides significant support neither to Mr. Quintana nor to Mr. Ramirez.
B. At least one segment of the electorate provides significant support to Ms. Puerta but not to Mr. Quintana.
C. Each segment of the electorate provides significant support to Ms. Puerta.
D. Each segment of the electorate provides significant support to Mr. Quintana.
E. Each segment of the electorate provides significant support to Mr. Ramirez.

Answers

Answer:

D. Each segment of the electorate provides significant support to Mr Quintana

Step-by-step explanation:

From the question, we have the following logic statement;

If those segment that provide significant support to Ms Puerto also provide support to Mr. Quintana then no segment of the electorate that provides significant support to Mr. Quintana provides significant support to Mr. Ramirez

Counter to the If Then Logic structure

At least one segment of the lectorate provides significant support to Mr. Quintana and Mr. Ramirez

Therefore, there is at least one segment that provides support to Mr. Quintana but not to Ms. Puerta

The segments that provide support to Ms. Puerta do not provide support to Mr. Ramirez

Mr. Quintana's support includes those from the supporters of Ms. Puerta and those from the supporters of Mr. Ramirez

Therefore, each segment of the electorate provide significant support to Mr. Quintana.

Find the x and y Intercept of x + 2y = -14

Answers

Answer:

Y-intercept: (0, -7)

X-intercept: (-14,0)

Step-by-step explanation:

To find the y-intercept, we need to put 0 in for x

0 + 2y = -14

2y = -14

y = -7

So, the y-intercept is located at (0, -7)

To find the x-intercept, we need to put 0 in for y

x + 2(0) = -14

x = -14

So, the x-intercept is located at (-14,0)

Step-by-step explanation:

To find the y-intercep, we need to put 0 in for x

0 + 2y= -14

2y = -14

y = - 7

So, the y - intercept is located at ( 0, - 7)

A bucket contains 4 red marbles, 10 blue marbles, 7 yellow marbles, and 5 green marbles.
What is the probability that you will reach in and pick a red marble?
a 4/25
b 4/23
c .2563
d 15.3%

Answers

Answer:

d.  15.3%

Step-by-step explanation:

There are a total of 4 + 10 + 7 + 5 = 26 marbles

P(pick a red) = 4/26 = 2/13 = .153 = 15.3%  

tossing a coin and spinning a spinner with five equal sections, 1-5

Answers

Answer:

Its gonna be a 50/50 on the coin and 20/100 chance for the spinner

Answer:

5 outcomes for the spinner and a 50/50 chance for the coin

Step-by-step explanation:

for the spinner, there are five numbers, 1,2,3,4, and 5. so, there is a 1/5 chance or you could also say there is a 20/100 chance.   For the coin, there are two sides and 100 divided by 2 is 50 therefore, there is a 50/50 chance

Hope this helps!!

A gift box in the shape of a rectangular prism has 20-inch length, 14-inch width, and 10-inch height. How much paper will you need to wrap the gift box?

Answers

Answer:

1240 in²

Step-by-step explanation:

Total surface area:

S = 2(lw + lh + wh)S = 2(20*14+20*10+14*10) = 1240 in²
L=20B=14H=10

So

TSA

2(LB+BH+LH)2(20×14+14×10+10×20)2(280+140+200)2(620)1240in²

Kelvin and Lewie each design surveys in order to determine the average number of people who buy food at the mall. Kelvin surveys every other person leaving the food area. Lewie surveys every fifth person leaving the mall main entrance. Which set of survey results is most likely to show biased results for people who buy food at the mall

Answers

The set of survey results that is most likely to show biased results for people who buy food at the mall is Lewie's survey.

Lewie's survey samples only every fifth person leaving the mall's main entrance, which means that it only captures a small percentage of the total number of mall visitors. Additionally, by only surveying people leaving the main entrance, Lewie's survey may not capture people who enter and exit the mall through other entrances or exits and may also miss those who don't leave the mall after buying food. As a result, Lewie's survey may not accurately represent the total number of people who buy food at the mall and may lead to biased results.

On the other hand, Kelvin's survey samples every other person leaving the food area. This method captures a larger percentage of the total number of people who buy food at the mall and is more likely to provide a more accurate representation of the total number of people who buy food at the mall.

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Answer:

A. Kelvin’s because he surveyed people leaving an area where food is sold

Step-by-step explanation:

A ladder is leaning against a wall. The top of the ladder is 999 feet (\text{ft})(ft)(, start text, f, t, end text, )above the ground. If the bottom of the ladder is moved 3\,\text{ft}3ft3, start text, f, t, end text farther from the wall, the ladder will be lying flat on the ground, still touching the wall. How long, in feet, is the ladder

Answers

999.06ft999.06 in feet is the ladder.

What is Pythagorean Theorem?

Pythagorean Theorem is a mathematical formula used to calculate the length of the sides of a right triangle. It states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, which is known as the hypotenuse. The formula is written as a² + b² = c², where a and b are the two shorter sides, and c is the hypotenuse.

To find the length of the ladder, use the Pythagorean Theorem. The length of the ladder is equal to the square root of the sum of the squares of the side lengths of the right triangle formed by the ladder and the wall.

The two side lengths of the right triangle are 999\,\text{ft}999ft999, start text, f, t, end text and 3\,\text{ft}3ft3, start text, f, t, end text.

Therefore, the length of the ladder is equal to the square root of (999^2+3^2), which is equal to 999.06\,\text{ft}999.06ft999.06,

start text, f, t, end text.

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question: which month has an average low temperature that is cooler than December’s? Explain your answer.

thanks to anyone who helps! giving out brainliest as well :)

Answers

Answer:January

Step-by-step explanation: if it is asking to explain based on data given, you can show that -11.6<-10.4, but if it is asking based on other information that you recieved, i cant really help other then to tell you to look at the cylces of day and night, because some parts of alaska get no sun for 6 months, so that could be why january is averagly colder

Solve these problems

A= 12+4×2-7
B= 2×(-3)+8

Answers

A=13
B=2

You have to calculate the multiplication first

Answer:

A. 13

B. 2

Step-by-step explanation:

You use order of operations.

A. 4x2=8+12=20-7=13

B. 2x-3=-6+8=2

Two students wrote the equations shown below.




Erica Aliyah


y = -0.5x y = 2.5x - 8




Which statement is true?

A Graphs of both equations will pass through the origin.

B Only Erica’s equation is proportional.

C Both equations have a negative slope.

D Only Aliyah's is proportional

Answers

Only Erica's equation (y = -0.5x) is proportional

What is an equation?

An equation is used to show the relationship between numbers and variables.

The standard form of a linear equation graph is:

y = mx + b

Where m is the slope of the line and b is the y intercept.

Given the Erica equation:

y = -0.5x

The slope is -0.5, hence it is a negative slope and the intercept is at 0, hence it passes through the origin and is proportional

Given the Aliyah equation:

y = 2.5x - 8

The slope is 2.5, hence it is a positive slope and the intercept is at -8, hence it does not pass through the origin and is not proportional

Both equations are linear equations

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road to white house Math

Answers

The value of f(4) - g(-5) if function  f(x) = 3 / 2x + 2 and g(x) = 2x² - 3 is -39.

What is function?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Given:

f(x) = 3 / 2x + 2 and g(x) = 2x² - 3

Calculate the value of f(4) and g(-5) as shown below,

f(4) = 3 / 2 × 4 + 2

f(4) = 12 / 2 + 2

f(4) = 6 + 2

f(4) = 8

g(-5) = 2 × (-5)² - 3

g(-5) = 2 × 25 - 3

g(-5) = 50 - 3

g(-5) = 47

Now, calculate the value of f(4) - g(-5) as shown below,

f(4) - g(-5) = 8 - 47

f(4) - g(-5) = -39

Thus, the value of f(4) - g(-5) is -39.

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The table below shows information about how many fans there were at two
football matches in a local tournament.
What is the difference between the number of away fans at the semi-final and at
the final?
Semi-final
Final
Total number of fans
250
400
Ratio of home fans
to away fans
6:4
7:3

Answers

Therefore , the solution of the given problem of ratio is Because of this, at a 95% confidence level, (a,b) = ($65.57, $74.43).

What is ratio?

A ratio or fraction in math displays how many times one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3 or decimal 1.333).

Here,

Confidence intervals are defined as a range of values with a known chance that a parameter's value falls inside them.

A statistical data's confidence interval can be expressed as.

=> x+/-zr/√n

=> Knowing that;

Average Sample x = $70.00

$17.50 is the standard deviation.

n = 60 samples were used.

95% confidence interval

95% confidence interval for z = 1.96

substituting our current values;

$70.00+/-1.96($17.50/√60)

$70.00+/-1.96($2.259240285287)

$70.00+/-$4.428110959163

$70.00+/-$4.43

= ( $65.57, $74.43)

Therefore , the solution of the given problem of ratio is Because of this, at a 95% confidence level, (a,b) = ($65.57, $74.43).

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What statements about prisms are always true if the top base is directly above the bottom base? Select all that apply. The lateral faces are rectangles. The bases are congruent. The bases can be any shape. The lateral faces are congruent.

Answers

Answer:

The bases are congruent

Step-by-step explanation:

From the question, we understand that the top base and the bottom base are directly opposite one another.

When such a scenario arise, it means that the bases have the same shape, they have the same dimension (i.e. size).

With the above analysis, we can conclude that the bases are congruent.

However, the given information can not be used to determine the shape and congruence of the lateral faces.

Lastly, for the bases to be congruent, they must have the same shape (and not any shape).

Hence, only option (b) is correct

Carlos has completed 18 deliveries so far this week. He needs to make 60 deliveries for the week. What percentage of his deliveries has Carlos completed?​

Answers

Answer:

30%

Step-by-step explanation:

18/60 = 0.30

0.30 = 30%

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