Find the measure of X, Y and Z in simplest form:

Find The Measure Of X, Y And Z In Simplest Form:

Answers

Answer 1

Answer/Explanation:

[tex] 12^2 = 16*x [/tex] (altitude to hypotenuse theorem)

Solve for x using this equation

[tex] 144 = 16x [/tex]

[tex] \frac{144}{16} = x [/tex] (division property of equality)

[tex] 9 = x [/tex]

[tex] x = 9 [/tex]

[tex] y^2 = 12^2 + x^2 [/tex] (pythagorean theorem)

[tex] y^2 = 12^2 + 9^2 [/tex] (substitution)

[tex] y^2 = 144 + 81 [/tex]

[tex] y^2 = 225 [/tex]

[tex] \sqrt{y^2} = \sqrt{225} [/tex]

[tex] y = 15 [/tex]

[tex] z^2 = (x + 16)^2 - y^2 [/tex] (pythagorean theorem)

[tex] z^2 = (9 + 16)^2 + 15^2 [/tex] (substitution)

[tex] z^2 = 25^2 + 15^2 [/tex]

[tex] z^2 = 625 + 225 [/tex]

[tex] z^2 = 850 [/tex]

[tex] \sqrt{z^2} = \sqrt{850} [/tex]

[tex] z = \sqrt{25*34} [/tex]

[tex] z = 5\sqrt{34} [/tex]


Related Questions

A China cap is used for straining dry ingredients.



True or false

Answers

Answer:

True

Explanation:

Help! please
To attend a particular camp, a student must be either at least 13 years old or in grade 9 or higher, but must not yet be 18 years old. Let age represent a student’s age and let grade represent the student’s grade level. Which of the following expressions evaluates to true if the student is eligible to attend the camp and evaluates to false otherwise?


((age ≥ 13) OR (grade ≥ 9)) AND (age ≤ 180

((age ≥ 13) OR (grade ≥ 9)) AND (age < 18)

((age ≥ 13) OR (grade ≥ 9)) OR (age ≤ 18)

((age ≥ 13) OR (grade ≥ 9)) OR (age < 18)

Answers

Answer: b

Explanation:

The correct boolean expression which correctly represents the conditions and evaluates to true ls the option B.

Using the following boolean evaluation rule :

T or T = T T or F = TT and F = F

((age ≥ 13) OR (grade ≥ 9)) AND (age ≤ 18)

(T or T) and F ( less than 18)

T and F = False

((age ≥ 13) OR (grade ≥ 9)) AND (age < 18)

(T or T) and T

T and T = True

The third option is wrong as the age must be less than 18

Fourth option is wrong as the second operator should be AND

Therefore, the correct option is B.

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HELP WITH THIS NEEDS TO BE TURNED IN IN LIKE 3 MINUTES!!!!!!!!!!!
What is the purpose of listing your long-term goals on paper?
Full sentences please.

Answers

gotcha :)

The purpose of listing my long term goals on paper is to have them on paper, to be able to refer back to them when I'm struggling. It's also helpful to be able to cross them out if I complete them, and mark my progress. It's best to keep me on track

hope this helps!

Which fraction is less than the fraction represented by the model?

A circle divided into 8 equal parts. 5 parts are shaded.

Three-fourths
StartFraction 11 Over 16 EndFraction
StartFraction 13 Over 16 EndFraction
StartFraction 2 Over 4 EndFraction

Answers

Answer:

2/4

Explanation:

1/2 of the circle is less than what is shaded

Answer:

2/4

Explanation:

A forest has a NPP of 2.8 kgC/m2/year and the rate of cellular respiration is 4.8 kgC/m2/year. What is the GPP?

Answers

The net primary productivity of an ecosystem is 1 kgC/ m2/year, and the energy needed by the producers for their own respiration is 1.5 kgC/m2/year.

Using the phosphorus data from the table, calculate the percentage of each phosphorus source that enters the Mississippi from the city of St. Paul.

Answers

Answer/Explanation:

% of each Nitrogen source = amount of Nitrogen from each source/total amount if Nitrogen × 100

% of Nitrogen from atmospheric deposition:

[tex] \frac{1,300}{7,400}*100 = \frac{130,000}{7,400} = 17.57 [/tex]

Approximately 18%

% of Nitrogen from household pet waste:

[tex] \frac{2,100}{7,400}*100 = \frac{210,000}{7,400} = 28.38 [/tex]

Approximately 28%

% of Nitrogen from residential fertilizer:

[tex] \frac{3,800}{7,400}*100 = \frac{380,000}{7,400} = 51.35 [/tex]

Approximately 51%

% of Nitrogen from weathering:

0%

% of Nitrogen from county compost:

[tex] \frac{200}{7,400}*100 = \frac{20,000}{7,400} = 2.70 [/tex]

Approximately 3%

Expain why acid forming in the ocean would affect the ecosystem.

Answers

Answer:

The amount of carbonate, a main building block in sea water, is reduced by ocean acidification. This makes it harder for marine organisms to shape their shells and skeletons, such as coral and some plankton, and existing shells will begin to dissolve.

Answer:

The ecosystem would start to become empty

Explanation:

Ocean acidification reduces the amount of carbonate, a key building block in seawater. This makes it more difficult for marine organisms, such as coral and some plankton, to form their shells and skeletons, and existing shells may begin to dissolve. The impacts of ocean acidification are not uniform across all species. Hopefully the explanation and answer helps!

Thermometers used in the kitchen do not contain mercury.

Answers

Answer: thats true

Explanation:

Answer:

true as u dont want mercury spilling on your food when the theremometer breaks

How does CRISPR/Cas9 relate to real life for people with Down Syndrome? PLEASE ANSWER IN COMPLETE SENTENCES!!!!!! AND ANSWER IN ONE PARAGRAPH, PLEASEEE!!!!! WILL GIVE BRAINLIEST FOR COMPLETE ANSWER!!!

Answers

Answer:

Explanation:

The gene editing tool known as CRISPR-Cas9 could unintentionally damage DNA during the editing process or unintentionally edit regions that were not targeted. While these possibilities sound scary—and they could be—no one is in immediate harm.

Down syndrome (DS) is one of the most prevalent genetic disorders in humans. The use of new approaches in genetic engineering and nanotechnology methods in combination with natural cellular phenomenon can modify the disease in affected people. We consider two CRISPR/Cas9 systems to cut a specific region from short arm of the chromosome 21 (Chr21) and replace it with a novel designed DNA construct, containing the essential genes in chromatin remodeling for inactivating of an extra Chr21. This requires mimicking of the natural cellular pattern for inactivation of the extra X chromosome in females. By means of controlled dosage of an appropriate Nano-carrier (a surface engineered Poly D, L-lactide-co-glycolide (PLGA) for integrating the relevant construct in Trisomy21 brain cell culture media and then in DS mouse model, we would be able to evaluate the modification and the reduction of the active extra Chr21 and in turn reduce substantial adverse effects of the disease, like intellectual disabilities. The hypothesis and study seek new insights in Down syndrome modification.

Which of the following are true about language?

It is symbolic.
It can be written, spoken, or signed.
It is capable of an infinite set of meaningful utterances.
All of these
None of these

Answers

Answer:

"All of the above" would be the correct answer.

The truth about language is it is symbolic, and can be written, spoken, or signed, is capable of an infinite set of meaningful utterances. The correct option is 4, all of these.

What is language?

Language is a way of communication. Each and every person use language to communicate with each other. There are different languages present in different areas. Language cane is symbolic, and it is used as part of life.

Languages are written and spoken and in before times, there were signs for different words. For the deaf, there is sign language, which used gestures and expressions. For blinds, there is a braille language, which they use. These are in the form of dots.  

Therefore, the correct option is d, All of these. It is symbolic. It can be written, spoken, or signed. It is capable of an infinite set of meaningful utterances.

To learn more about language, refer to the link:

https://brainly.com/question/20921887

#SPJ2

What are some consequences of globalization?

Answers

Well, global economic growth and industrial productivity are both the driving force and the major consequences of globalization. They also have big environmental consequences as they contribute to the depletion of natural resources, deforestation and the destruction of ecosystems and loss of biodiversity.

Answer:

Globalization sure does come with a lot of consequences. Some of them are:

(1) Globalization restricts the growth of local industries (especially in the case of textiles & automobiles) as the imported goods are cheaper than the local goods.

(2) It causes poor work conditions for the workers as they have to work for longer periods of time with less wages.

(3) Globalization also affects the economy & the countries that export goods earn more or have MNCs in other places than countries that import goods.

Hope it helps ⚜

why do people call people 8 years old when that is not their age

Answers

be people are ignorant
Because people do not have enough words in their vocabulary to insult someone correctly, making them in fact the 8 year old.

Help me out everybody! Do not cheat everybody! My teacher checks plagarism on Grammarly. Please do me a favor and put your mind to it. What is the reason to rising tides? Conduct a paragraph with 4 sentences.

Answers

Answer: The reason why ocean tides rise is very simple. The moon has a gravitational pull on the Earth. This pull brings the oceans to a tide. Basically, the moon causes the pull. This can happen up to 6 times per day, in some rare cases, more.

Hope this helps you!

what does 9000 x 9000 =

Answers

Answer:

81000000 is your answer

Please mark as the BRAINLIEST

81000000

Explanation:

This is what the answer is if you multiply the numbers.

Would rocks make a good form of money why or why not?

Answers

Answer:

No

Explanation:

The reason they would not be a good form of money is because there are to many different types, inconsistent and are very easy to find.

Is this the country that our founding father Envisioned?

Answers

definitely not. Our country has become unconstitutional

What zodiac sign are you?
I am pisces. ♓

Answers

Answer:

Sagittarius

Explanation:

What is the distance between the points (-7,3) and (4,-5) on the
coordinate plane?
O A. V13
O B. √57
O C. 7125
O D. 1185

Answers

The answer is B because

The distance between these given points on a coordinate plane is equal to: B. √57

Given the following points:

Points on the x-axis = (-7, 4).Points on the y-axis = (3, -5).

How to calculate the distance on coordinates?

Mathematically, the distance between points that are on a coordinate plane is calculated by using this formula:

Distance = √[(x₂ - x₁)² - (y₂ - y₁)²]

Substituting the given points into the formula, we have;

Distance = √[(4 - (-7))² - (3 - (-5))²]

Distance = √[(4 + 7)² - (3 + 5)²]

Distance = √[11² - 8²]

Distance = √[121 - 64]

Distance = √57

Read more on distance here: https://brainly.com/question/1418394

What is 2+2 multiplyed by 6-28+67?

Answers

Answer: 180

Explanation:
Answer: 180

Explanation:
2+2=4

PEMDAS: addition and subtraction from left to right so you would do 6-28 first then add 67.

6-28= -22
-22+67=45

4 X 45 = 180

Should women wear a bikini or nothing

Answers

Answer:

Explanation:

they should wear a bikini

it depends . if you going to the beach den yes .because a naked body out in the open is a charge . and against the law . so yes woman should wear bikini

team Edward or team Jacob

I'm team Jacob so don't even

Answers

Answer:

Edward

Explanation:

because vampires are cooler than furries :/

Answer: Team Jacob

Explanation: The relationship between Bella and Edward is 100 percent toxic, unhealthy and abusive.Edward is overprotective and tries to restrict Bella's friend group, especially when she starts hanging out with Jacob Black and the other werewolves.Jacob is hotter than Edward. Jacob even says so. Bella's freezing in a tent and only Jacob's body temperature can keep her warm. When Patterson  heard Lautner say, "I'm hotter than you,".

“Gettysburg Address”
by Abraham Lincoln

Which of the following basic sentence types appear in the passage?

I. interrogative
II. imperative
III. declarative
A.
II only
B.
III only
C.
I and III
D.
II and III
E.
I, II, and III

Answers

Answer:

D.  II and III

Explanation:

Interrogative phrases are those that present a type of questioning, a type of question. In “Gettysburg Address,” Lincoln makes no question and for that reason, we can say that there are no interrogative phrases in the speech.

Almost every discourse contains declarative sentences that are phrases where the author finds a fact. Lincoln uses this type of phrase right at the beginning of the discreet, when he states that "87 years ago, our parents gave birth, on this continent, to a new Nation, conceived in Liberty and devoted to the principle that all men are born equal."

Lincoln also uses imperative phrases that are phrases used to express a request, an order or an instruction. It is possible to see these phrases at the very end of the speech when Lincoln says "It is up to us, the living, to dedicate ourselves today to the work unfinished up to this point so remarkably advanced by those who fought here."

Label the skeletal system
You only have to label the
Ribs
Coccyx
Frontal
Maxilla
Scapula
Sternum
Humerus
Radius
Patella
Phalanges
Tarsals
Pubis

Answer choices
U,
aa,
n,
q,
m,
f,
i,
cc,
d,
a,
o.

Answers

Answer:

say what now

Explanation:

Explain the role that hereditary plays in skill-related fitness

Answers

Answer:

Heredity controls some aspects of inborn skill-related fitness and is described as natural ability. While these inherited traits have an impact on skill-related fitness, the extent of their influence is difficult to measure.

Explanation:

What should you do if a Karen is trying to ruin your fun
A argue with her
B record her and tell her she has no right to stop you
C talk to her calmly
D just leave

Answers

Answer:

B!!!!!!!!!!!!!!!!!!!!!!++

Answer:

C and if she doesnt stop B

Explanation:

its like that video where a karen stops a bunch of kids from skateboarding even though they werent trespassing, it wasnt illegal. and they were aloud to skate board there. but like, she kept blocking them even tough they said they would leave. smh

Explain how schedules of reinforcement can be used to strengthen johns plan

Answers

Answer:

should use a fixed-interval schedule to enhance reading and strengthen his argument (the kids will know exactly when they get rewards)

Explanation:

Why do economists measure profit differently from accountants?

Answers

Accountants only concern themselves with direct costs which involve things like the cost of materials, rent, and labor for instance. This profit is aptly named "accounting profit".

Economists consider those costs as well, but they also include indirect costs such as opportunity costs of other investments. Recall that opportunity cost is the cost of what you give up if you make a certain decision.

For instance, if a car factory makes 4 door sedans, but it could be making more money with SUVs, then the opportunity cost is high and the economic profit is lower compared to the accounting profit.

What does basic beliefs( Buddhism) meditation mean?

Answers

Answer:

Buddhism Beliefs

They instead focus on achieving enlightenment—a state of inner peace and wisdom. When followers reach this spiritual echelon, they're said to have experienced nirvana. ... The word Buddha means “enlightened.” The path to enlightenment is attained by utilizing morality, meditation and wisdom.

Explanation:

-google

Dry Clean Up Procedures are used to clean up what

Answers

Answer:

Dry cleaning is used in place of household laundering for fabrics that do not tolerate water and that could shrink or become damaged in a conventional wash

Explanation:

Dry cleaning is used in place of household laundering for fabrics that do not tolerate water and that could shrink or become damaged in a conventional wash. Additionally, normal household laundering may not be able to remove stains that are not water-based, which may require solvents to treat them.

explain why the distance between two meridians at the North Pole is 0 miles

Answers

La girl wa ke yo are
S

Answer:

This is because they intersect at the north pole

Explanation:

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