Based on the given information, Layla's drawing is a special type of quadrilateral known as a rectangle.
What is the rectangular shape?Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.
A rectangle is defined as a quadrilateral with four right angles and opposite sides that are parallel and congruent (i.e., they have the same length).
In Layla's drawing, she stated that there are two pairs of opposite sides that are parallel, which satisfies this definition.
Furthermore, the fact that all four angles are right angles also fits the definition of a rectangle.
It is important to note that not all quadrilaterals with two pairs of parallel sides and four right angles are rectangles.
For example, a parallelogram with four right angles is a special type of rectangle known as a square, which has all sides congruent.
Therefore, based on the given information, Layla's drawing best describes a rectangle.
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There are 453.592 grams in one pound . A semi - slick , Kevlar tire weighs about 520 grams . What is the tires weighs in pounds ?
The city of Chula Vista has a population of 173,556. National City has a population of 61,115. What is the total population of the two cities? A. 234,671 B. 234,661 C. 232,671 D. 112,441
if the circumference of the base=126 cm and h=10 cm, find the volume
Can someone explain/show me how to do this?
can you discuss the differences between circumference and area of a circle ?
Cassie bakes cookies and brownies for the school bake sale. Each cookie will sell for $0.50 and each brownie will sell for $0.75. Write an expression for the amount of money Cassie will raise for the school with the cookies and brownies she baked.
The product of two consecutive odd integers is fifteen. Find all such integers.
the two consecutive odd integers that have a product of fifteen are 3 and 5.
The question asks for the two consecutive odd integers whose product is fifteen. To solve this, we can use algebraic methods or observe that the square root of 15 is less than 4, and since 15 is an odd number, we look for odd numbers around 4 that multiply to 15.
Let's define the smaller integer as n. Since the integers are consecutive and odd, the next odd integer after n is n+2. The equation to represent their product is n*(n+2) = 15. Solving for n gives us the integers 3 and 5, since 3*5 = 15.
Therefore, the two consecutive odd integers that have a product of fifteen are 3 and 5.
Flee, Fin, and Fliffers are 3 rabbits for sale in a pet store. Combined they represent 30% of the total number of rabbits for sale. What is the total number of rabbits for sale?
To find the total number of rabbits for sale in the pet store, set the total number of rabbits as 'x' and solve the equation 0.30x = 3 to get x = 10. Therefore, there are 10 rabbits for sale.
The question involves Flee, Fin, and Fliffers, three rabbits that constitute 30% of the total number of rabbits for sale in a pet store. To find out the total number of rabbits, let's designate the total number of rabbits as 'x'. Since the three rabbits are 30% of the total, we can write the equation
0.30x = 3
(because Flee, Fin, and Fliffers are three rabbits).
Solving for 'x', we divide both sides of the equation by 0.30 to get
x = 3 / 0.30.
Therefore, x = 10, which means there are a total of 10 rabbits for sale in the pet store.
Let's represent the total number of rabbits for sale as x. Since Flee, Fin, and Fliffers represent 30% of the total, their combined number is 0.30x. We can set up an equation: 0.30x=number of rabbits represented by Flee, Fin, and Fliffers. Solving for x, we divide both sides by 0.30x=number of rabbits represented by Flee, Fin, and Fliffers/0.30x. This implies that the total number of rabbits is 3.33 times the number represented by Flee, Fin, and Fliffers. So, if we know the number of rabbits represented by Flee, Fin, and Fliffers, we can multiply it by 3.33 to find the total number of rabbits for sale.
Complete answer;
Flee, Fin, and Fliffers are 3 rabbits for sale in a pet store. Combined they represent 30% of the total number of rabbits for sale. What is the total number of rabbits for sale?
What is the simplified answer of “One less than X is less than -1 OR 3 more than X is greater than or equal to 7.” This is solving inequalities, thanks!
A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?
Please show work, thank you!
What is the distance between the sandbox and garden
Ernest thinks Ryan rested between 120 and 150 miles. Emma thinks he walked a flat part of the trail during that time. Who is correct and why? Which hypothesis matches the graph, Emma or Ernest’s? PLEASE HELP I GIVE BRAINLIEST
To determine who is correct, analyze the graph and compare it to the hypotheses of Ernest and Emma.
Explanation:Both Ernest and Emma have different hypotheses about Ryan's rest during the trail. Ernest thinks Ryan rested between 120 and 150 miles, while Emma believes he walked a flat part of the trail during that time. To determine who is correct, we need to analyze the graph to see if it matches either hypothesis.
If the graph shows a flat line between 120 and 150 miles, then Emma would be correct. However, if the graph shows a change in elevation during that distance, then Ernest's hypothesis would be correct. To identify the correct hypothesis, visually analyze the graph and compare it to the hypotheses put forth by Ernest and Emma.
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What is the following quotient? 5/√11-√3
ANSWER
[tex]\frac{5( \sqrt{11} + \sqrt{3} )} {8} [/tex]
EXPLANATION
The given rational function is
[tex] \frac{5}{ \sqrt{11} - \sqrt{3}} [/tex]
We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of
[tex] \sqrt{11} - \sqrt{3} [/tex]
which is
[tex]\sqrt{11} + \sqrt{3} [/tex]
When we rationalize we obtain:
[tex] \frac{5( \sqrt{11} + \sqrt{3} )}{(\sqrt{11} - \sqrt{3} )( \sqrt{11} + \sqrt{3} )} [/tex]
The denominator is now a difference of two squares:
[tex](a - b)(a + b) = {a}^{2} - {b}^{2} [/tex]
We apply this property to get
[tex]\frac{5( \sqrt{11} + \sqrt{3} )}{( \sqrt{11}) ^{2} - ( \sqrt{3}) ^{2} )} [/tex]
[tex]\frac{5( \sqrt{11} + \sqrt{3} )}{11 - 3} [/tex]
This simplifies to
[tex]\frac{5( \sqrt{11} + \sqrt{3} )} {8} [/tex]
Or
[tex]\frac{5 } {8}\sqrt{11} + \frac{5 } {8}\sqrt{3} [/tex]
Answer:
B
Step-by-step explanation:
in the first football game, the quarterback completed 18 out of 24 passes he attempted what percent did the quarterback complete
Find the zeros of the function. g(x) (-5x-1) (2x+8)
Smaller x
Larger x
A roof rises 9 feet for every 12 feet of run. What is the slope of the roof?
A.) -3
B.) 3
C.) 3/4
D.) 4/3
Answer:
[tex]m = \frac{9}{12} = \frac{3}{4} [/tex]
The correct answer is C.
A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.9%, predict how many of the phones are likely to be defective. Round to the nearest whole number. 12 phones 15 phones 18 phones 145 phones
Answer:
15 phones, option B.
Step-by-step explanation:
A cell phone company orders new phones = 500
The probability of a phone is being defective = 2.9%
2.9% of 500 phones are = [tex]\frac{2.9}{100}[/tex] × 500
0.029 × 500 = 14.5 rounded to the nearest whole number is 15
The probability of 15 phones are defective out of 500 phones.
Latitude measures the distance ( in degrees-north or south ) above the equator. The equator has a latitude of 0° . Your friend lives in a town 10 degrees north of Cleveland. Cleveland has a latitude of 40° N. If you reflect the town's location over the equator, what would be its new latitude?
a. 30° S
b. 40° N
c. 50° S
d. 50° N
The friend lives in a town that is 10° farther north than 40° N. The latitude of that town is 40° +10° = 50° N. When that latitude is reflected across the equator, N changes to S. The new latitude would be c. 50° S.
A new website was reviewed by 91 people. The creator of the website surveyed 8 of the reviewers at random. He asked them to rate the website on a scale from 1 to 10. Their ratings are below.
3, 7, 10, 6, 3, 10, 10, 6
Assuming that the sample was representative of all reviewers, what was the mean rating of the website for all reviewers?
A.
4.5
B.
6.5
C.
7.125
D.
6.875
In the diagram ∠BAD ≅ ∠CAD. If m∠BAD = 12x + 8 and m∠CAD = 16x, find m∠BAC. A) 22 degrees
B) 32 degrees
C) 48 degrees
D) 64 degrees
Is the equation A = 21000 ( 1 − .12 )^t a model of exponential growth or exponential decay, and what is the rate (percent) of change per time period?
Answer is Exponential Decay.
Exponential Growth and Decay:
Exponential decay is a process that decreases quantity over time.
Exponential growth is a process that increases quantity over time.
(Given),
[tex]A = 21000(1-0.12)^{t}[/tex]
Let's take,
[tex]B = (1 - 0.12)^{t}[/tex]
As the t increases the B value decreases exponentially. So, the A = 21000*B also decreases exponentially as t increases.
And the rate of change per time period is (0.12 x 100)% = 12%.
So, It is exponential decay.
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what is the distance between points (10, 3)nd (-2, 4)
Simplify the expression
(5jk)^4
a chemist has 5 1/10 kg of calcium. if she uses 0.15 kg of the compound each time she performs an experiment, for how many experiments will her supply last?
The chemist can perform approximately 34 experiments with her 5.1 kg supply of calcium, given that she uses 0.15 kg of calcium for each experiment.
Explanation:The chemist has 5 1/10 kg of calcium and uses 0.15 kg of calcium for each experiment. To determine the number of experiments she can perform with her existing supply, we need to divide the total amount of calcium she has by the amount used in each experiment.
So, 5 1/10 kg = 5.1 kg. Dividing 5.1 kg by 0.15 kg, we get approximately 34. Therefore, she can perform 34 experiments with her current supply of calcium.
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the temperature last night was 10 degrees below 0. The next morning by 9 a.m. the temperature had risen 12 degrees. what was the temperature at 9 a.m.?
Please help as so as possible
Help please!
6x^2+2x-9=0
A 6.4, -8.4
B 1.1, -1.4
C -2.2, 2.8
D -1.1, -1.4
1. d^2 + 12d + 32
(d + 8)(d + 4)
(d - 8)(d - 4)
(d - 8)(d + 4)
(d + 8)(d - 4)
2.d^2 - 12d + 32
(d - 4)(d - 8)
(d - 4)(d + 8)
(d + 4)(d - 8)
(d + 4)(d + 8)
5.x^2 + 3xy - 4y^2
(x + 4y)(x + y)
(x - 4y)(x - y)
(x - 4y)(x + y)
(x + 4y)(x -y)
Which of the following is not equivalent to the other
The third fraction [tex]\frac{10}{80}[/tex] is not equivalent to the other options. The other options, 0.8, 80% and [tex]\frac{24}{30}[/tex] are all equivalent.
In mathematics, a fraction is a composition that represents a part of a whole. Fractions can be written in a few different ways, but the most frequent way is to utilize a numerator and a denominator. The numerator is the number of parts we have, and the denominator is the total number of parts. For illustration, the fraction 1/2 represents one part out of two.
Option 1 is 0.8.
Option 2 is 80% which is in fact equal to [tex]\frac{80}{100}[/tex] .
[tex]\frac{80}{100}[/tex] = [tex]\frac{8}{10}[/tex] = 0.8.
Option 3 is [tex]\frac{24}{30}[/tex] .
[tex]\frac{24}{30}[/tex] = [tex]\frac{8}{10}[/tex] = 0.8.
So, only the third option is not equivalent to the others.
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Draw three rectangles.Then draw to show halves,thirds,and fourths. Write about each whole that you have drawn