Given △VXY and △VWZ, what is the perimeter of the trapezoid WXYZ? Round your answer to the nearest hundredth

Answers

Answer 1

The perimeter of trapezoid ΔXYZ, to the nearest hundredth, is  -  195.00 units.

What is the Perimeter of a Shape?

Perimeter of a shape is the sum of all the sides of the shape.

Perimeter of trapezoid WXYZ = WX + XY + YZ + ZW

YZ = 50

WX = 62.5

Find XY and ZW.

Since △VXY and △VWZ are similar triangles, therefore  -

VY/VZ = VX/VW

VY = 80

VZ = 80 - 50 = 30

VX = 62.5 + VW

VW = ?

Substitute

80/30 = (62.5 + VW)/VW

Cross multiply

80VW = 30(62.5 + VW)

80VW = 1,875 + 30VW

80VW - 30VW = 1,875

50VW = 1,875

VW = 1,875/50

VW = 37.5

Using Pythagorean theorem, find Z W-

ZW = √(VW² - VZ²)

Substitute

ZW = √(37.5² - 30²)

ZW = 22.5

Find XY:

XY/ZW = VY/VZ

XY/22.5 = 80/30

XY = (80 × 22.5)/30

XY = 60

Perimeter of trapezoid WXYZ = WX + XY + YZ + ZW

= 62.5 + 60 + 50 + 22.5

= 195.00 units.

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Full Question:

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Given △VXY and △VWZ, what is the perimeter of the trapezoid WXYZ? Round your answer to the nearest hundredth

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Given VXY And VWZ, What Is The Perimeter Of The Trapezoid WXYZ? Round Your Answer To The Nearest Hundredth

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phrases that can be written from these words hardly / to / find / tennis / we / ever / time / together / can / play .It is difficult for us to find time to play tennis together.


Finding time to play tennis together can be challenging due to various factors such as busy schedules, conflicting commitments, and limited availability. The word "hardly" suggests that it is not easy or straightforward for us to allocate time specifically for playing tennis. We may have different responsibilities, work or school obligations, or other activities that consume our time.

Consequently, it becomes challenging to synchronize our schedules and create a time slot where we can both participate in a game of tennis. Despite our desire to play together, the constraints of our individual schedules make it a difficult task to find a suitable and mutually convenient time for us to engage in this activity.

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Based on the case law presented in the unit lessons, which statement BEST represents students’ rights in schools?



A.


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B.


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C.


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Answers

Based on the case law presented in the unit lessons, the statement that BEST represents students' rights in schools is option C: Students' free speech rights are broad, but they have fewer Fourth Amendment rights.

The case law has established that students do possess free speech rights, which are protected under the First Amendment. However, these rights can be limited by school administrators if they can demonstrate a reasonable justification that the speech would cause a material disruption to the school environment. On the other hand, students have fewer Fourth Amendment rights concerning search and seizure in schools. Courts have recognized that schools have a responsibility to maintain a safe and orderly environment, allowing administrators greater leeway to conduct searches and seizures if there is reasonable suspicion.

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4 A boy is 1. 5 m tall. He was 1. 21 m tall before the summer holidays. How much has he grown? 5 A garage door is 3. 75 m high. A lorry 2. 95 m high goes into the garage. Calculate the height of the gap between door frame and the lorry, giving your answer in cm. ?​

Answers

The height of the gap between the door frame and the lorry is 80 cm.

4. the boy has grown by (1.5 m - 1.21 m) = 0.29 m.

5. to calculate the height of the gap between the door frame and the lorry, we subtract the height of the lorry from the height of the garage door: 3.75 m - 2.95 m = 0.8 m.

to convert this to centimeters, we multiply by 100: 0.8 m * 100 cm/m = 80 cm. in question 4, the boy has experienced a growth of 0.29 meters. this indicates that he has become taller during the summer holidays. growth in height is a common occurrence during childhood and adolescence as the body undergoes various physiological changes. the difference between the current height of 1.5 meters and the previous height of 1.21 meters represents the amount by which he has grown.

in question 5, the height of the garage door is given as 3.75 meters, and the height of the lorry is 2.95 meters. to determine the height of the gap between the door frame and the lorry, we subtract the height of the lorry from the height of the garage door. this calculation reveals that the gap measures 0.8 meters. converting this measurement to centimeters by multiplying by 100 yields a gap height of 80 centimeters.

understanding measurements, such as growth in height and the difference in heights between objects, is important in various contexts, from monitoring development to assessing clearance and space requirements in practical scenarios like fitting a vehicle through a garage door.

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The Violence Against Women Act (VAWA) and Title IX of the Education Amendments Act of 1972 are two examples of laws/legislations that aim to protect citizens in many countries.

The Violence Against Women Act (VAWA): The VAWA is a significant federal legislation in the United States that addresses gender-based violence. It was first enacted in 1994 and has been reauthorized and expanded since then. VAWA provides resources and support for survivors of domestic violence, dating violence, sexual assault, and stalking. It establishes federal crimes related to gender-based violence and enhances criminal justice responses to these crimes. The law also funds initiatives for prevention, education, and training programs, as well as support services for victims.Title IX of the Education Amendments Act of 1972: Title IX is a federal law in the United States that prohibits gender discrimination in educational institutions receiving federal funding. While its scope extends beyond gender-based violence, it addresses sexual harassment and sexual violence in educational settings. Title IX requires educational institutions to have policies and procedures in place to handle reports of sexual harassment and assault, provide support for survivors, conduct investigations, and take appropriate disciplinary actions. It also mandates educational institutions to offer prevention programs and raise awareness about gender-based violence.These laws illustrate efforts to protect individuals from gender-based violence by addressing it through legal means, providing support services for survivors, promoting prevention initiatives, and establishing mechanisms for reporting and investigation of incidents.

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Answer:

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As an expert witness, a forensic scientist is ethically responsible for telling the whole truth. Forensic science is used in courts of law to investigate criminal offenses and civil lawsuits. Forensic science is the application of scientific knowledge and techniques to criminal and civil investigations and legal proceedings.

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In the given scenario, Johnny purchased a home from Claudia, and the contract of sale stated that Johnny was acquiring "all fixtures and permanent improvements."

However, the contract did not explicitly define which items were considered fixtures. When Johnny took possession of the house, he discovered that Claudia had removed a large window air conditioning unit that had been installed and bolted in the living room window. Neither party had discussed the air conditioner during the purchase. As a result, Johnny files a lawsuit against Claudia for the air conditioner. The outcome of the lawsuit will depend on various factors, including the jurisdiction's laws regarding fixtures and the interpretation of the contract terms. Courts typically consider the intention of the parties, custom and usage, and the nature of the item in question when determining whether it qualifies as a fixture. If the court deems the air conditioner to be a fixture, Claudia may be required to return it to Johnny based on the terms of the contract.

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