Mathematics College

when is a rectangle a square?
a) when its sides are parallel
b) when its angles are right angles
c) when its sides are congruent
d) when its angles are convex angles

Answers

Answer 1

A rectangle becomes a square when all of its sides are congruent, which is the defining characteristic that differentiates it from a rectangle. While rectangles do share other attributes such as parallel sides, right angles, and convex angles, these do not specifically define a square.

A rectangle becomes a square when all of its sides are congruent. This by definition means that all four sides of the shape are of equal length. While rectangles do have parallel sides and right angles, these characteristics alone do not suffice to differentiate a square from a rectangle, as rectangles also have these attributes. In the case of convex angles, both squares and rectangles have angles that are convex, so this also cannot be used to distinguish a square from a rectangle.

To specifically address the options provided:

a) when its sides are parallel: This is true for both rectangles and squares, but it doesn't make a rectangle a square.b) when its angles are right angles: Again, both shapes share this characteristic so it doesn't define a square specifically.c) when its sides are congruent: This is the defining characteristic of a square compared to a rectangle.d) when its angles are convex angles: Both rectangles and squares have convex angles, so this does not define a square.

Therefore, the most accurate answer is (c) when its sides are congruent.

Related Questions

The circumference of a circle is 25.12 miles. What is the circle's diameter? C=25.12 mi Use 3.14 for ​pi

Answers

The answer to your question is 8mi. I just divide the circumference by pi to find your diameter.
Circumference=2pi*r or 
and diameter=2r
in your case, the circumference is 25.12 miles, so we plug it in to the first formula:
25.12=2pi*r
12.56=3.14*r
4=r
and since 2r=diameter, the diameter is 8

It costs $7.00 to play a very simple game in which a dealer gives you one card from a deck of 52 cards. if the card is a heart, spade, or diamond, you lose. if the card is a club other than the queen of clubs, you win $11.50. if the card is the queen of clubs, you win $50.00. the random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. what is the mean of x, rounded to the nearest penny?
a. $3.38
b. −$3.62
c. −$3.38
d. $3.62

Answers

It costs $7.00 to play a straightforward game in which a dealer gives you one card from a deck of 52 cards. 

If the card is a heart, spade, or diamond, you lose. 

If the card is a club other than the queen of clubs, you win $11.50. 

If the card is the queen of clubs, you win $50.00. 

The random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. What is the mean of x, rounded to the nearest penny?

------
Random "winnings"::.....-7.......4.50......43

Probabilities::........ 39/52....12/52....1/52 

------------------------------------------------------

u(x) = [39*-7 + 12*4.5 + 43]/52 = -$3.38

Janice has car insurance that she must pay four times a year. If each payment is $156, how much money should she set aside each month to cover her car insurance? $13 $26 $39 $52

Answers

she has to set $52 every month so by the third month she will have exactly 156

[tex]\left[\begin{array}{ccc}A&13&-\\B&26&-\\C&39&-\\D&52&Correct\end{array}\right][/tex]


what is the volume of a cube with a side length of 5/6 cm

Answers

(5/6) * 3 = 2.5 cm

hope this helps! :)

A marker is randomly selected from a drawer that contains 20 green, 44 orange, and 30 blue markers.Which statement is true?

P(green)≈0.21P(blue)≈0.41P(orange)≈0.

Answers

[tex]Probability = \frac{number of choice}{total number of choices} [/tex]
# green = 20
# orange = 44
# blue = 30
Total = 20 + 44 + 30 = 94

[tex]P(green) = \frac{20}{94} = 0.212 [/tex]
[tex]P(orange) = \frac{44}{94} = 0.468[/tex]
[tex]P(blue) = \frac{30}{94} = 0.319[/tex]

The one that matches is A

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 1515 in. by 99 in. by cutting congruent squares from the corners and folding up the sides. Then find the volume.

Answers

Hello,
Please, see the attached files.
Thanks

If the Federal Reserve decreases the reserve rate from 5% to 2.5%, how does this affect the amount of money that would result because of fractional-reserve banking from an initial deposit into a bank of $35,000? A. It incraeses the amount by 1,400,000 B.It decreases the amount by 1,400,000 C.It decreases the amount by 700,000 D. It increases the amount by 700,000

Answers

The money in circulation is inversely proportional to the reserve rate, so changes from
.. 35000/5% = 700,000
to
.. 35000/2.5% = 1,400,000.

It increases the amount by 700,000, corresponding to the 4th selection.

you have a piggy bank containing a total of 93 coins in dimes and quarters. If the piggy bank contains $14.85, how many dimes are there in piggy bank

Answers

Let d = number of dimes.
Let q = number of quarters.

The total number of coins is 93, so the first equation is

d + q = 93

The value of 1 dime is $0.10. The value of 1 quarter is $0.25.
d dimes are worth 0.1d, and q quarters are worth 0.25q.
The total value of the coins is $14.85, so that gives us our second equation.

0.1d + 0.25q = 14.85

Now we have a system of two equations in two unknowns.

d + q = 93
0.1d + 0.25q = 14.85

Rewrite the first equation. Then multiply both sides of the second equation by -10, and write it underneath. Then add the equations.

 d +     q =     93
-d - 2.5q = -148.5
------------------------
      -1.5q = -55.5

Divide both sides by -1.5.

q = 37

Now substitute 37 for q in the first original equation and solve for d.

d + q = 93

d + 37 = 93

Subtract 37 from both sides.

d = 56

Answer: There are 56 dimes in the piggy bank.

1,600 principal earning 7%, compounded annually, after 33 years

Answers

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$1600\\ r=rate\to 7\%\to \frac{7}{100}\to &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &33 \end{cases} \\\\\\ A=1600\left(1+\frac{0.07}{1}\right)^{1\cdot 33}\implies A=1600(1.07)^{33}[/tex]

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it. Always Sometimes Never

Answers

The ratio of the areas of two similar polygons can be found by squaring the ratio of their perimeters or corresponding linear dimensions, but this method only works sometimes, specifically with similar polygons, and not with non-similar ones.

The ratio of the areas of two similar polygons is indeed found by taking the ratio of their corresponding linear dimensions and squaring it. This is because the area is a two-dimensional measurement, whereas perimeter and linear dimensions are one-dimensional. For similar polygons, which are polygons that have the same shape but may have different sizes, any linear dimensions (such as sides, perimeters, diagonals) are proportional.

When you have two similar polygons and you know the ratio of their perimeters, you can use this perimeter ratio to find the ratio of their corresponding side lengths since the ratio of the perimeters of similar polygons is equal to the ratio of their corresponding linear dimensions. After finding this linear ratio, you square it to obtain the ratio of their areas because if one dimension is multiplied by a scale factor 's', the area is multiplied by 's' squared (scale factor squared).

It is important to note, however, that this rule only applies to similar polygons (similarity) and not to polygons that aren't similar, since non-similar polygons do not have a constant ratio of corresponding linear dimensions. Therefore, to answer the original question, the method works sometimes, specifically when dealing with similar polygons.

because his goal is to bike 65 miles over the four days what equation can be used to find the number of miles he should bike on the first day

Answers

His first day
Answer: 16.25

[tex]y = 65 \div 4[/tex]

Which of the following statements contain a variable?all that apply
A.there are 60 second in a minute
B.he is year old
C.double the number of pages in the book
D.the age of my friend

Answers

B. and C. 
Gotta write more for the 20 characters limit

Help me with this question pleaseeee!!!

Answers

we have that
the measure of angle ∅=7*pi/6
the measure of its reference angle is?
remember that pi=180°
then 
7*pi/6=7*180/6=210°------------> III Quadrant
Part A) its reference angle is 210°-180°=30°
Part B) sin(30°)=-0.5--------> negative because  belongs III quadrant

Draw three dimes 1 nickel and 2 pennies. Describe how to count on to find the total value of this group of coins

Answers

Total Value: $0.37

The total value of this group of coins can be found by first counting the value of each type of coin, and then adding them all together. The value of a dime is 10 cents, so if there are three dimes, the total value is 30 cents. The value of a nickel is 5 cents, so if there is one nickel, the total value is 5 cents. The value of a penny is 1 cent so if there are two pennies, the total value is 2 cents. After adding 30 + 5 + 2, the total comes to $0.37. 

A $65 coat is now on sale for $52. What percent discount is given?

Answers

20%
because if 65 is 100,
52 is 80% out of 65
so 100 - 80 is 20
The discount given is 20%! Hope this helps

What is the area of this trapezoid? 96 in² 132 in² 168 in² 1344 in² Trapezoid A B C D with parallel sides D C and A B. Points F and E are between D and C. F E B A form a rectangle with 4 right angles. D F is 3 inches, F E is 8 inches., E C is 3 inches., E B is 12 inches., and A B is 8 inches.

Answers

Answer
132 〖in〗^2


Explanation
Although the diagram was not given, I was able to get it in the internet.
The area of a trapezium is found by the use of the following formula:
Area =1/2 h(a+b)
Where h is perpendicular distance between the two parallel lines, while a and b is are the lengths of the parallel lines.
In this question;
h=12 in
a=8 in
b=3+8+3=14 in
Area =1/2×12(8+14)
=6×22
132 〖in〗^2 

Answer:

Option B. 132 inch²

Step-by-step explanation:

Since we know the formula to calculate the area of trapezoid is = [tex]\frac{1}{2}(height)(base)[/tex]

where height of the given trapezoid ABCD is side BE and two parallel sides are AB and DC.

It's given in the question

Side BE = 12 inches

AB = 8 inches

DC = (DF + FE + EC) = (3 + 8 + 3) = 14 inches

Now we put these values in the formula

Area of trapezoid ABCD = [tex]\frac{1}{2}(AB+CD).(BE) = \frac{1}{2}(8 + 14).(12)=\frac{1}{2}(22)(12)=(11).(12)=132[/tex]

Therefore answer is Option B. 132 inch²

A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip. For how many hours did the trucker travel?

Answers

Divide 583.2 by 48.6 to get your answer, 12 hours.

Answer: The trucker traveled for 12 hours.

Step-by-step explanation:

Given : A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip.

i.e. Total distance =  583.2 miles

Average speed =  48.6 miles per hour

Using Formula , [tex]\text{Total Time}=\dfrac{\text{Total Distance}}{\text{Average speed}}[/tex]

We have

[tex]\text{Total Time}=\dfrac{583.2}{48.6}\\\\=\dfrac{5832}{486}\\\\=12\text{ hours}[/tex]

Hence, the trucker traveled for 12 hours.

What is the greatest fraction you can make using the digits 4, 7, and 9?

Answers

Answer:

  (7^9)/4 = 40,353,607/4

Step-by-step explanation:

Assuming each digit is used once and exponentiation is allowed, the largest numerator and smallest denominator will result in the largest fraction.

__

If other functions, such as factorial are allowed, then there might need to be a limit on the number of times they are applied. For example,

  (7!)^(9!)/4 has about 1 million digits

something like ...

  ((7!)^(9!))!/4 has many more digits than that

and you can keep piling on the factorial symbols to any desired depth.

how do you change 87/9 into a mixed number

Answers

Divide 87 by 9 ! You'll get 9, with a remainder of 6/9 or 2/3. So the mixed number is 9 2/3.
Divide 87 by 9 and put remainder in fraction form - 9 6/9 which reduces to 9 2/3

A brother and sister split the $990,000 from the sale of their parent's house. According to the will, the sister was to receive 25% more than her brother, for having managed the property. How much money did the sister receive?

Answers

The ratio of inheritance is
.. sister : brother = 1.25 : 1 = 5 : 4

Then the sister receives 5/(5+4) = 5/9 of the total, $550,000.

whats (-2,8) and (-22,8) finding the slope from points

Answers

Since y is a constant, the slope is zero.

if you live 1 mile from work and can walk 4mph how long will it take you to get to work

Answers

4 miles = 1 hour
1 mile = 1/4 hour 

1/4 hour = 15 mins

---------------------------------------------------------------------------------
Answer: It takes you 15 mins to walk to work
---------------------------------------------------------------------------------

ten less than triple a number is 21

Answers

3x-10=21 is the answer
3n -10 = 21

Hope this helps

15+w+(-12)=15-12+w what is the answer

Answers

Hi there!

To solve this problem, we need to simplify.

15 + w - 12 = 15 - 12 + w
3 + w = 3 + w

w = w

So, the answer is undefined, since w is not given.

Hope this helps!

rose rode the roller coaster 9 times. Leila rode the roller 6 less times than Rose. Joseph rose roller coaster 5 times as many as Leila. how many times did Joseph ride the roller coaster?

Answers

Joseph rode the roller coaster 15 times.
Because - 9 - 6 = 3 x 5 = 15
he rode the roller coaster 15 times because 9-6=3 and 3×5=15.

Simplify. 7 to the second power + 3 (-9-7) + 88 divides by 8 + 3 to the second power

Answers

Hello!

7[tex] x^{2} [/tex]+3 x - 16 + 88 ÷ 8 + [tex] 3^{2} [/tex]

49 + 3 x -16 + 88 ÷ 8 + [tex] 3^{2} [/tex]

49 + 3 x - 16 + 88 ÷ 8 + 9

49 - 48 + 88 ÷ 8 + 9

49 - 48 + 11 + 9

= 21
Your answer is 21.

Brainliest please?


CAN SOMEONE HELP PLZ AND EXPLAIN BEC IF DONT DO GOOD I CANT GO TO MY DADS HOUSE THIS WEEK END

Answers

Hello!

6.
Since the area is that of a square, you know that all side lengths are the same. 

Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².

[tex]A = a^{2} [/tex]
[tex]144 = a^{2} [/tex]
[tex] \sqrt{144} = a[/tex]
[tex]12 = a[/tex]

The length of the side of a square with an area of 144 in² is 12 in.

7.
Rational number.

8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.

Plug in your leg lengths:

a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4

The radius of a circle is 4 millimeters. What is the circle's circumference? r=4 mm Use 3.14 for ​.

Answers

The circumference of the circle is: 25.12 mm.

The Circumference of a CircleCircumference of a circle = 2πr

Given:

radius of circle = 4 mm

π = 3.14

Required:

Circumference of the circle

Thus:

Circumference of the circle = 2×3.14×4

Circumference = 25.12 mm

Therefore, the circumference of the circle is: 25.12 mm.

Learn more about circumference of a circle on:

https://brainly.com/question/20489969

The correct answer is the circle's circumference is approximately 25.12 millimeters.

To find the circumference of a circle, one can use the formula:

[tex]\[ C = 2\pi r \][/tex]

where [tex]\( C \)[/tex] is the circumference, [tex]\( \pi \) (pi)[/tex] is a mathematical constant approximately equal to 3.14, and [tex]\( r \)[/tex] is the radius of the circle.

Given that the radius [tex]\( r \)[/tex] is 4 millimeters, we can substitute the values into the formula:

[tex]\[ C = 2 \times 3.14 \times 4 \text{ mm} \][/tex]

Now, we perform the multiplication:

[tex]\[ C = 2 \times 3.14 \times 4 = 25.12 \][/tex]

Which of the following are equivalent to 85%? 0.085, 0.85, 85/100, 19/20 ? chose all that apply?

Answers

.85 and 85/100 are the only ones within the question that are equivalent to 85%.

The area of a rectangular barnyard is given by the trinomial 6x2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring. (1 point)

Answers

Area of a rectangular barnyard: A=6x^2+7x-20
A=6(6x^2+7x-20)/6
A=[(6^2)(x^2)+7(6x)-120]/6
A=[(6x)^2+7(6x)-120]/6
A=(6x+15)(6x-8)/6
A=(6x+15)(6x-8)/[(3)(2)]
A=(6x/3+15/3)(6x/2-8/2)
A=(2x+5)(3x-4)
A=bh
b=2x+5; h=3x-4
Answer: The possible dimensions of the barnyard are 2x+5 and 3x-4

Answer:

c 2x+5 and 3x-4

Step-by-step explanation:

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