Steve will require about 600 sunflower seed packets to completely cover his garden if each packet can cover one square foot.
What is Rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.
The rectangle's longer side is its length, while its shorter side is its breadth.
The most common shape, the rectangle, is a part of every day existence.
What is dimensions ?A dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, width, and height.
In general, dimensions are given as:
Dimensions:
Length,
Width,
Height, or Depth
Depending on how many dimensions a figure contains, it can be categorized into:
→ Zero – dimensional
→ One – dimensional
→ Two – dimensional
→ Three – dimensional
According to Question,
We need to know the square footage (in feet) of Steve's garden in order to determine how many packets of sunflower seeds he should purchase to cover it. Assuming his garden is about rectangular and has dimensions of 20 feet by 30 feet, it would cover the following area:
600 square feet is equal to 20 feet by 30 feet.
Steve will require about 600 sunflower seed packets to completely cover his garden if each packet can cover one square foot
This is only an estimate, and the precise quantity of packets needed may change depending on elements like the distance between seeds and the effectiveness of the planting procedure.
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Steve will require about 600 sunflower seed packets to completely cover his garden if each packet can cover one square foot.
What is Rectangle?
An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.
The rectangle's longer side is its length, while its shorter side is its breadth.
The most common shape, the rectangle, is a part of every day existence.
What is dimensions ?
A dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, width, and height.
In general, dimensions are given as:
Dimensions:
Length,
Width,
Height, or Depth
Depending on how many dimensions a figure contains, it can be categorized into:
→ Zero – dimensional
→ One – dimensional
→ Two – dimensional
→ Three – dimensional
According to Question,
We need to know the square footage (in feet) of Steve's garden in order to determine how many packets of sunflower seeds he should purchase to cover it. Assuming his garden is about rectangular and has dimensions of 20 feet by 30 feet, it would cover the following area:
600 square feet is equal to 20 feet by 30 feet.
Steve will require about 600 sunflower seed packets to completely cover his garden if each packet can cover one square foot
This is only an estimate, and the precise quantity of packets needed may change depending on elements like the distance between seeds and the effectiveness of the planting procedure.
Which graph represents the function f(x) = -2sin(x) +37
The graph that represents the function f(x) = -2sin(x) +37 is graph D
How to explain the graphThe graph of the function f(x) = -2sin(x) +37 is a sinusoidal wave with an amplitude of 2 and a vertical shift of 37. The negative sign in front of the sine function indicates that the wave is inverted or reflected about the x-axis.
In this graph, the maximum value of the function is 39 (when x = 0) and the minimum value is 35 (when x = π).
In conclusion, the graph that represents the function f(x) = -2sin(x) +37 is graph D
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Rhombus CDEF is shown below. If the slope
of FC is 5/2, what must be the slope of CD in order for CDEF to be a square?
Answer:
15
Step-by-step explanation:
trust
The slope of side CD in rhombus CDEF is -2/5. Therefore, option B is the correct answer.
What is a rhombus?A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square.
Given that, the rhombus is CDEF and the slope of FC is 5/2.
Here, sides FC and CD are perpendicular.
The slope of a line perpendicular to given line is m₁=-1/m₂
Slope of CD is -2/5.
Therefore, option B is the correct answer.
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Consider the following expression and determine which statements are true.
\dfrac{7}{r}+2^3+\dfrac{s}{3}+11
r
7
+2
3
+
3
s
+11start fraction, 7, divided by, r, end fraction, plus, 2, cubed, plus, start fraction, s, divided by, 3, end fraction, plus, 11
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
The entire expression is a sum.
(Choice B)
B
The coefficient of sss is 333.
(Choice C)
C
The term \dfrac{7}{r}
r
7
start fraction, 7, divided by, r, end fraction is a quotient.
(Choice D)
D
The term 2^32
3
2, cubed has a variable.
Answer:
write the question properly-_-
Answer:
The answer is A&C
Step-by-step explana
Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordi nates of the centroid. y=2x, y=0, x=1
Answer:
coordinates of the centroid = \((\frac{2}{3} , \frac{2}{3} )\)
Step-by-step explanation:
The curves to be plotted are : y =2x, y = 0, x =1
The coordinates of the centroid ( visually estimated ) can be found by first calculating the area of the region
A = \(\int\limits^1_0 {2x} \, dx\) = 2\((\frac{x^2}{2} )\) hence A = 1
attached below is the remaining part of the solution
The length of a bacterial cell is about 5 x 10 ^−6 m, and the length of an amoeba cell is about 3.5 x 10 ^−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
1.4 x 10 ^1
7 x 10 ^1
143 x 10 ^1
7 x 10 ^3
Answer:7 x 10 ^1 is the right answer
Step-by-step explanation:
Hope this helps :)
There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.
To determine the number of times smaller is the bacterial cell than the amoeba cell.
⇒ amoeba cell / bacterial cell
⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m
Apply the division operation, and we get
⇒ 0.7 × 10⁻⁴ × 10⁶
Adding the exponents of the above terms
⇒ 0.7 × 10⁻⁴⁺⁶
⇒ 0.7 × 10²
⇒ 7 × 10¹
Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.
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Solve for the values of x and y
SOLVING LEFT-SIDED RIGHT TRIANGLE
Answer:
The value of the missing length of the side x=26 units
Step-by-step explanation:
The Pythagorean theorem states
\(\:a^2\:+\:b^2\:=\:x^2\)
We will use the Pythagorean Theorem to solve for the missing side length.
\(24^2\:+\:10^2\:=\:x^2\)
switch both sides
\(x^2=24^2+10^2\)
\(x^2=576+100\)
\(\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\)
\(x=\sqrt{676},\:x=-\sqrt{676}\)
\(x=26,\:x=-26\)
As x can not be negative.
Therefore, the value of the missing length of the side x=26 units
SOLVING LEFT-SIDED RIGHT TRIANGLE
Answer:
The value of the missing length of the side y=15 units
Step-by-step explanation:
Considering the right-sided right triangle
The Pythagorean theorem states
\(a^2\:+\:b^2\:=\:c2\)
We will use the Pythagorean Theorem to solve for the missing side length.
\(15^2\:+\:y^2\:=\:\left(15\sqrt{2}\right)^2\)
\(225+y^2=450\) ∵ \(\left(15\sqrt{2}\right)^2=450\)
\(y^2=225\)
\(y=\sqrt{225},\:y=-\sqrt{225}\)
\(y=15,\:y=-15\)
As y can not be negative.
Therefore, the value of the missing length of the side y=15 units
uppose that Bianca and Rosa each own a small farm. They both produce milk and apples. Each hour, Bianca can either produce 1 gallon of milk or 1 pound of apples, and Rosa can either produce 2 gallons of milk or 4 pounds of apples. Each works 4 hours a day.a. Draw Bianca’s daily PPC, placing gallons of milk x-axis and pounds of apples onthe y-axis. Label the x-intercept, the y-intercept and the slope of the PPC. Be sure to also label your axes.b. Draw Rosa’s daily PPC, placing gallons of milk x-axis and pounds of apples on the y-axis. Label the x-intercept, the y-intercept and the slope of the PPC. Be sure to also label your axes.c. What is the opportunity cost to each of 1 pound of apples?d. What is the opportunity cost to each of 1 gallon of milk?e. Who has the comparative advantage in producing apples? Briefly explain.f. Who has the comparative advantage in producing milk? Briefly explain.g. Who has the absolute advantage in producing apples? Briefly explain.h. Who has the absolute advantage in producing milk? Briefly explain.i. Are there gains from specialization and trade in this case? If not, explain why not. If so, in which good should each specialize?j. Draw the joint PPC for Bianca and Rosa, placing gallons of milk on the x-axis and pounds of apples on the y-axis. Be sure to label, the x-intercept, the y-intercept, the slope along each segment of the PPC and the point at which each isspecializing in the activity at which he or she has a comparative advantage. Be sure to also label your axes.k. Suppose that every day, Bianca and Rosa each spend 2 hours producing milk and2 hours producing apples, so that together they produce 6 gallons of milk and 10 pounds of apples. To show that this is not an efficient use of their time, find another way to divide up their time between producing milk and producing apples so that together they still can produce 6 gallons of milk but more than 10 pounds of apples.
For the graph formed by Bianca weight and height which is represented as x= 130 a vertical line describes that it has no slope.
Graph representing the weight and height of Bianca .
x-axis represents the weight in pounds of Bianca.
y-axis represents the height in inches of Bianca.
Line shown on graph is
x = 130 a vertical line
When a vertical line is represented on graph it means
x₁ = x₂ = x₃ =....= 130
y-coordinates keep on changing.
Slope = (y₂ - y₁ ) / ( x₂ - x₁ )
As x-coordinates are constant it means denominator is zero.
Line has no slope.
Therefore, graph representing weight and height with x= 130 shows it has no slope.
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The given question is incomplete, I answer the question in general according to my knowledge:
Bianca graphed her weight and height over the past several years. A graph titled Bianca's Height and Weight has weight in pounds on the x-axis and height in inches on the y-axis. A vertical line is at x = 130. Which describes the slope of the line on Bianca’s graph? Its slope is positive. Its slope is negative. Its slope is zero. It has no slope.
What is the x-value in the solution to this system of linear equations?
2x - y = 11
x + 3y = -5
-3
-1
2
4
Answer:
anwer is 4 i m not sure
of i m right plz give me the brainliest
Please explain your answer to the question in the picture with steps.
find the approximate area of the shaded region, given that the area of the sector is approximately 13.08 square units.
The area of the shaded region is 3915 units².
We have,
Area of the sector.
= 13.08 units²
Now,
To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case,
The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:
Calculate the semi-perimeter:
s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units
Use Heron's formula to find the area:
Area = √[7(7 - 5)(7 - 5)(7 - 4)]
= √[7(2)(2)(3)]
= √[84]
≈ 9.165 units (rounded to three decimal places)
Now,
Area of the shaded region.
= Area of the sector - Area of the isosceles triangle
= 13.08 - 9.165
= 3.915 units²
Thus,
The area of the shaded region is 3915 units².
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0 is an angle in a right-angled triangle. tan 0 = 23/52 What is the value of 0? Give your answer in degrees to 1 d.p.
The value of the angle θ is approximately 24.2 degrees to 1 decimal place.
In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.
To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:
θ = arctan(23/52)
Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.
Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.
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a salesman earns 25% commission he sells amount to 2450 shillings after giving a buyers 2% discount . calculate his commission. Suppose all the goods were sold at marked price , what would be is earnings?
Answer:
Step-by-step explanation:
A) Commission = 2450 shillings * 25 % = 2450 shillings * (25/100) = 2450 shillings * (0.25) = 612.50 shillings
Commission = 612.50 shillings
B) If the total sale is 2,450.00 shillings, after the seller gives buyers a 2% discount. We must re-enter the discount:
2,450.00 shillings = X - X * 2% = X - 0.02 X --->
------> 0.98 X = 2,450.00 shillings
------>X= 2,450.00 / 0.98
------> X = 2,500.00 shillings
NEW COMMISSION = 2,500.00 shillings * 25 % = 2,500.00 shillings *(25/100) =2,500.00 shillings * (0.25) = 625 shillings
NEW COMMISSION = 625 shillings
The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.
This function written in vertex form include the following: A. f(x) = (x –1)² – 7.
How to determine the axis of symmetry and vertex of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = x² – 2x – 6, we have:
a = 1, b = -2, and c = -6
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(-2)/2(1)
Axis of symmetry, Xmax = 2/2
Axis of symmetry, Xmax = 1.
Next, we would determine vertex as follows;
f(x) = x² – 2x – 6
f(x) = 1² – 2(1) – 6
f(x) = -7.
Now, we can write quadratic function in vertex form;
f(x) = a(x - h)² + k
f(x) = (x - 1)² - 7
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Complete Question:
The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.
What is this function written in vertex form?
f(x) = (x –1)² – 7
f(x) = (x +1)² – 7
f(x) = (x –1)² – 5
f(x) = (x +1)² – 5
4.4) Find the least number by which 768 must be multiplied so as to make it a perfect square
Answer:
3
Step-by-step explanation:
768 can be broken down to:
2×2×2×2×2×2×2×2×3
The part made up of twos is already a perfect square. The 3 needs a partner for it to be a perfect square also.
768 × 3 is 2304.
Sqrt2304 is 48.
Multiply 768 by 3 to make it a perfect square.
Refer To The Given Image
Marking as brainlist please help!!
Answer:
Set your calculator to degree mode.
Using the Law of Cosines:
37^2 = 23^2 + 20^2 - 2(23)(20)(sin C)
1,369 = 929 - 920sin(C)
440 = -920sin(C)
sin(C) = -11/23
C = sin^-1 (-11/23) = 151.4°
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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Using the following image find QR given RS =6 and QS=7
Given
To find:
The value of QR.
Explanation:
It is given that,
That implies,
\(\begin{gathered} QS=QR+RS \\ 7=QR+6 \\ QR=7-6 \\ QR=1 \end{gathered}\)Hence, the answer is QR = 1.
Select the correct answer from each drop-down menu. Astronomers can use geometry to measure the objects in space and describe their
Please Help.
Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
Who are astronomers?It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.
In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
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Answer:
distance between, motion
Step-by-step explanation:
plato, I got it right
Write -3y = -1 +5x in standard form
Steps to solve:
-3y = -1 + 5x
~Divide -3 to both sides
y = 1/3 - 5/3x
~Reorder
y = -5/3x + 1/3
Best of Luck!
The sum of 3 times a number and 4 is 9.
Answer: x = 5/3
Step-by-step explanation:
Let the number be x
Then
3x + 4 = 9
3x = 9-4
3x = 5
x = 5/3
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A jeweler makes an ocean-inspired necklace using a total of 60 snails shells and shark teeth. The ratio of snail shells to shark teeth is 5:1. How many snail shells does he use?
Please help fast
Given that,
Total number of snails shells and shark teeth = 60
The ratio of snail shells to shark teeth is 5:1
To find,
Total no of snail shells used by the Jeweler.
Solution,
Let there are 5x snail shells and x shark shells.
According to question,
5x+x = 60
6x = 60
x = 10
Snail shell = 5x
= 5(10)
= 50
Hence, he uses 50 snail shells.
What is the volume of a cylinder with a height of 13.6 cm and a base with a radius of 6.6 cm, to the nearest tenth of a cubic centimeter? !!!asap
Answer:
1,861.1 cubic centimeters
Step-by-step explanation:
Volume of a cylinder is
\(v = \pi {r}^{2}h\)
so you would plug it in and solve
\(v = \pi ({6.6})^{2}13.6\)
PLEASE HURRY IM GIVING POINTS!!!!!!!!!
Part A: Given the function
g(x) = |x - 5| describe the graph of the function, including the vertex, domain, and range.
Part B: If the parent function
f(x) = |x| is transformed to
h(x) = Ix| + 3, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
Part A: The vertex, domain, and range of the function g(x) = |x-5| is
( 5, 0 ), ( - ∞ , ∞ ) and [0, ∞ ).
Part B: The function f(x) = |x| is vertically shifted by 3 units to get the function h(x) = |x| + 3. The y - coordinate of the vertex is shifted by 3 units.
In Part A:
The given function is;
g(x) = | x - 5 |.
Now, The x - coordinate of the vertex will be:
x - 5 = 0
x = 5
Therefore, the y- coordinate of the vertex will be:
y = g(x) = | x - 5 |
y = g(7) = | 5 - 5|
y = 0
So, The vertex of the absolute function is ( 5, 0 ).
Since, All real numbers fall under the expression's domain, with the exception of cases where it is undefined. In this case, the phrase is defined even if there is no real number.
Hence, In Interval Notation the domain is;
⇒ ( - ∞ , ∞ )
And, The set of all legitimate y values is the range.
Hence, In Interval Notation the range is:
⇒ [0, ∞ )
Now, In Part B:
Function h(x) = |x| + 3 is the transformed version of the parent function
f(x) = |x|.
For the parent function f(x) = |x|, the vertex is ( 0, 0).
Since, The range of an absolute function in the form c( | ax + b | ) + k is
f(x) ≥ k.
Therefore, The range of the function f(x) = |x| is f(x) ≥ 0 and in interval notation is [ 0, ∞ ).
For the transformed function h(x) = |x| + 3.
The vertex of the function is ( 0, 3 ).
The range of function is h(x) ≥ 3 and in interval notation is [3, ∞ ).
Hence, the y coordinate of the vertex is transformed by 3 from f (x) to h(x).
So, Part A: The vertex, domain, and range of the function g(x) = |x-7| is
( 5, 0 ), ( - ∞ , ∞ ) and [0, ∞ ).
Part B: The function f(x) = |x| is vertically shifted by 2 units to get the function h(x) = |x| + 3. The y coordinate of the vertex is shifted by 3 units.
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Rewrite the following polynomial in standard form. − x
The polynomial in standard form is -x^4 - x/7 + 1
How to rewrite the polynomial in standard formFrom the question, we have the following parameters that can be used in our computation:
-x^4 + 1 - x/7
Rewrite the terms of the expression in descending of degrees
So, we have the following representation
-x^4 - x/7 + 1
The above is the standard form of the polynomial
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Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Do you know how to solve this? I got 0.103 but it’s incorrect
We need to find the area given an interval.
Let's use the Z-score chart.
When z=1.12 , then z =0.8686
and
When z=1.9 then z=0.9713
By subtracting both z values we can find the area under the standard normal distribution.
Hence:
A=0.9713-0.8686
A=0.1027
The area under the standard normal distribution between z=1.12 and 1=1.9 is equal to 0.1027 square unit
solve the value of n 20 = 2 (n - 3)
Answer:
13
Step-by-step explanation:
1. 20/2 = n - 3
2. 10 = n - 3
3. 10 + 3 = n
4. 13 = n
Can someone solve this please? Thank you!
Answer:
.125
Step-by-step explanation:
1/4 times 1/2 equals .125.
Answer:
Total area of the box is 1 ft squared
Area of the shaded box is .125 ft squared
Area of the non - shaded box is .875 ft squared
Step-by-step explanation:
To find the total area, we can multiple the length * height, 1 * 1 = 1.
To find the shaded area, we can multiple the length * height, .5 * .24 = .125.
To find the total area, we can multiple the length * height of the box minus the shaded area, 1 * 1 - .125 = .875.
What is the value of the expression below when x=6?
10x-3
Answer:
57
Step-by-step explanation:
10x - 3 = (10 x 6) - 3
= 60 - 3
= 57
Here's your answer :)
Can the following quadrilateral be proven to be a parallelogram based on the given information? Explain.
(picture shown below)
A.) No. It cannot be proven because at least two of the adjacent angles are not congruent to each other
B.) Yes. It can be proven because both pairs of opposite sides are congruent.
C.) No. It cannot be proven because it does not have an angle that is supplementary to both of its consecutive angles.
D.) Yes. It can be proven because both pairs of opposite angles are congruent.
Answer:
Step-by-step explanation:
The answer is, no!
Step-by-step explanation:
The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.
So, here is the given information on what we need to classify a shape as a parallelogram:-
1) Parallel Sides
2)Opposite Sides are equal.
3) Adjacent sides are not equal.
4) Opposite angles are equal.
5)Adjacent angles are not equal.
Based on this, we can classify a shape as a parallelogram.
Hope, this answer helps!