X=

Given: ANEW ACAR

NE = 11

EW = 12

I

AR = 4y - 12

CA = 4x + 3

NW = x + y

Applying the definition of **congruent triangles**, the **values of x and y** are:

x = 2; y = 6

Length of CR = 8 units.

How to Find the Sides of Congruent Triangles?If two **triangles** are **congruent** to each other, based on the CPCTC, all their corresponding angles, and their corresponding sides will be equal to each other.

Given that **triangles** NEW and CAR are **congruent** to each other, therefore:

NE = CA

NW = CR

EW = AR

Given the following measures:

NE = 11

EW = 12

AR = 4y - 12

CA = 4x + 3

NW = x + y

Therefore:

NE = CA

11 = 4x + 3

Solve for x:

11 - 3 = 4x

8 = 4x

8/4 = x

x = 2

EW = AR

12 = 4y - 12

12 + 12 = 4y

24 = 4y

24/4 = y

y = 6

NW = CR = x + y

Plug in the **values of x and y**:

CR = 2 + 6

CR = 8 units.

Learn more about **congruent triangles** on:

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please help! find the key info for the graph given

vertex: (-1,4)

axis of symmetry: x=-1

MAX

y-intercept: (0,3)

x-intercepts: (-3,0) (1,0)

domain: all real numbers

range:y<4

axis of symmetry: x=-1

MAX

y-intercept: (0,3)

x-intercepts: (-3,0) (1,0)

domain: all real numbers

range:y<4

Which expression is equivalent to 8x - 12y + 32

4(2x-3y+8)

Hope its the correct answer

Hope its the correct answer

**Answer:**

C

-16(0.5x-0.75y+2)

**Step-by-step explanation:**

I got it right on edge 2022 Hope it helps <3

Help please!

This is due on April 18th but I would prefer the answer today! No sus links please!

**3(y-2)=18
**

**3y-6=18
**

**3y=24
**

**y=8**

**HOPE THIS HELPS AND YOU GOT GOOD GRADES **

**Answer:**

blank 1= 6

blank 2=6

**Step-by-step explanation:**

y=2

3y=6

6/3=2

hope that helps

have a great day/night

whats 21(2 - m) + 12m = 44. please

**Answer:**

= − 2 /9

**Step-by-step explanation:**

Solve for x

Plz help!

B is the answer hope I help

A certain high school reported that only 74% of its students enroll in a math class during senior year. If

there are 407 seniors enrolled in math at this school, how many seniors are in the school?

**Answer:**

*550 **students are in the school.*

**Step-by-step explanation:**

The way I found my answer was by first turning** 74% into a decimal**, which is

Margot has paid $13,800 in

rent for a year. How much is

her monthly rent, r?

Hint: Remember there are 12

months in a year.

Answer:

$1150 per month

Step-by-step explanation:

13800/ 12

At the book fair, Vald spends all of his money on new books. Pamela spends

2/3 as much as Vald. Eli spends 4/3 as much as Vald. Who spent the most?

The least?

**Step-by-step explanation:**

Lets take Vald spends $100 on the book fair which are all the money he had.

Pamela Spends 2/3 as much as Vald

Pamela Spends 2/3 x 100 = $66.67

Eli Spends 4/3 as much as Vald

Eli spends 4/3 x 100 = $133.33

From here, we can see Eli Spends the most and Pamela Spends the least.

A summer job pays $5 per hour.

a. you work 12 hours. How much do you make?

b. after working 24 hours do you have enough money to buy an mp3 player that costs $100?

**Answer:**

A. 60, B. 120.

You just need to add to get your answer

Whats the correct answer?

**Answer:**

5 m ........... . . ...........

Happy to help! :D please enjoy!! ❤️❤️❤️❤️❤️❤️❤️❤️

please answer asap! no scam links or scam comments or reported.

Answer:

yeah the links are anoying

Step-by-step explanation:

the answer is C

mark brainliest or add heart and 5 stars or both

Kelly had an apple She cut it in half, and then she cut it in half again

She ate three pieces of the apple. How many pieces did Kelly have it?

**Step-by-step explanation:**

I think the answer is 3 pieces so Kelly had 3 pieces of Apple hope it helps.

3! i did a small think about it. its easy, I hope you can do it too

Special right triangles. find the value of x?

hypotenuse = leg ×

[tex] \sqrt{2} [/tex]

Answer:

x = (9√2)/2

Step-by-step explanation:

Reference angle = 45°

Hypotenuse length = 9

Adjacent length = x

Apply the trigonometric ratio CAH:

Cos 45° = Adj/Hyp

Cos 45° = x/9

Multiply both sides by 9

9*Cos 45 = x

9*1/√2 = x (cos 45 = 1/√2)

9/√2 = x

Rationalize

(9*√2)/2 = x

x = (9√2)/2

The eight subjects used for this comparison were not a random sample. In fact, they were friends of the researchers whose ages and weights were similar to the types of people who would be measured with this DXA. Comment on the appropriateness of this procedure for selecting a sample, and discuss any consequences regarding the interpretation of the significance testing and confidence interval results.

**Answer:**

*The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect because it is not a random sample *

**Step-by-step explanation:**

When the subjects used for a research are not a random sample but friends whom share similar qualities/quantities related to the purpose of the experiment. The sample may be a representative of the future subjects, but the test results and confidence interval will not be reliable enough to be accepted as standard simply because it was not a random sample

Hence the comment *:The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect because it is not a random sample *

Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the other is also zero. In other words, the zeros in the two numbers appear in exactly the same position. For example, the Social Security numbers 120-90-1109 and 430-20-5402 have matching zeros.

Prove: Given a collection of 513 Social Security numbers, there must be two that match zeros.

**Answer:**

Proved

**Step-by-step explanation:**

**From the given parameters, we have:**

[tex]n = 9[/tex] i.e. the length of each security numbers

[tex]r = 2[/tex] i.e. 2 security numbers

**Required**

In 513 security numbers, 2 must have matching zeros

**To do this, we make use of Pigeonhole principle.**

**First, we calculate the number of all security numbers not having matching zeros.**

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

**So, total selection is:**

[tex]Total = 2^9[/tex]

[tex]Total = 512[/tex]

**Apply Pigeonhole principle**

The principle states that: suppose there are n items in m containers, where [tex]n>m[/tex], then there is at least one container that contains more than 1 item.

**This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.**

[tex]512 + 1 = 513[/tex]

Find the mean absolute deviation for the set below. S = 65, 90, 85, 70, 70, 95, 55

A. 12.24

B. 75.7

C. 114

D. 32.67

(I’ll give points + brainalist)

**Answer:**

A) 12.24

**Step-by-step explanation:**

Mean absolute deviation: 65, 90, 85, 70, 70, 95, 55 = 12.244897959184

**Answer:**

75.7

**Step-by-step explanation:**

Which of these expressions is equal to 3(30 - p)?

**Answer:**

[tex](3 \times 30) - (3 \times p)[/tex]

Answer B is correct

**Step-by-step explanation:**

[tex]3(30 - p) \\ (3 \times 30) - (3 \times p)[/tex]

hope this helps youcan I have the brainliest please?

**Answer:**

B

**Step-by-step explanation:**

B is correct. According to the distributive property of multiplication, we have 3(30 - p) = 3·30 - 3·p

please answer asap! no scam links or scam comments or reported.

**Answer:**

C

**Step-by-step explanation:**

**Answer:**

B. The longer a skydiver is in freefall, the more feet they fall per second

**Step-by-step explanation:**

what is a good communication

**Answer:**

text or video calls

**Step-by-step explanation:**

Answer: Employers value employees who can communicate effectively;

Step-by-step explanation: it means they are able to listen to others, as well as successfully relay their own ideas and opinions.

find the gcf of 2³×3² and 2³×3⁴ please no links

**Answer:**

**Step-by-step explanation:**

GCF - List out the prime factors that are common to both numbers

2³ * 3²

2³ * 3⁴

GCF = 2³ * 3² = 8 *9 = 72

Find AB. Round the answer to the nearest tenth if needed.

9514 1404 393

**Answer:**

8

**Step-by-step explanation:**

The product of segment lengths to the near and far circle intersection points is the same for both "secants". AD is a tangent, so the two intersection points are the same point. This gives ...

AD² = AB·AC

144 = AB(AB +10)

We can add 25 to complete the square.

169 = (AB +5)² . . . write as a square

13 = AB +5 . . . . . . positive square root

** 8 = AB** . . . . . . . . . .subtract 5

Determine the surface area of the rectangular prism.

**Answer:**

The answer is 220 cm^2

**Step-by-step explanation:**

Formula of a rectangular prism: 2 (lw + lh + wh)

2 (lw + lh + wh)

2 (10 x 4 + 10 x 5 + 4 x 5)

2 (40 + 50 + 20)

2 (110)

= 220 cm^2

A resort hotel rents

bicycles for $20 plus an hourly rate of $6. A

nearby hotel rents bicycles for $15 plus an hourly

rate of $8.

Which equation can be used to determine h, the

number of hours it will take for the cost of renting

a bicycle at both hotels to be the same?

**Answer:**

the answer is 20+6h=15+8h

H= 6x + 20

H= 8x + 15

H= 8x + 15

Hayden has 90 trading cards

**Answer:**

9

**Step-by-step explanation:**

90/10 =9

A computer engineer is investigating whether the amount of installed RAM (random access memory) can be used to predict the mean cost of a laptop with the operating system. The computer engineer collected a sample of 20 laptops with the same operating system. The engineer wants to estimate the mean change in the cost, in dollars, for each increase of 1 gigabyte of installed RAM. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate for such an investigation?

a. A two-sample z-interval for a difference between proportions.

b. A two-sample t-interval for a difference between means.

c. A matched-pairs t-interval for a mean difference.

d. A one-sample t-test for means.

e. A linear regression t-interval for slope

I agree with (a). As the best sentence

Which equation shows x^2+6x-2 = 0 rewritten by completing the square?

A. (x+3)^2=18

B. (x+3)^2-11

C. (x+3)^2-2

D. (X+3)^2-9

**Answer:**

Option B.

**Step-by-step explanation:**

We have the equation:

x^2 + 6*x - 2 = 0

Remember that:

(a*x + b)^2 = (a*x)^2 + 2*a*b*x + b^2

Because the term with x^2 has a coefficient equal to 1, then a = 1.

(x + b)^2 = x^2 + 2*b*x + b^2

The ter with x is: 6*x

then:

2*b*x = 6*X

2*b = 6

b = 6/2 = 3

we have:

(x + 3)^2 = x^2 + 6*x + 9

Now, our equation is:

x^2 + 6*x - 2 = 0

Now we can add the term (11 - 11) = 0

x^2 + 6*x - 2 + (11 - 11) = 0

x^2 + 6*x - 2 + 11 - 11 = 0

x^2 + 6*x + (11 - 2) - 11 = 0

x^2 + 6*x + 9 - 11 = 0

And we know that:

x^2 + 6*x + 9 = (x + 3)^2

Then we can rewrite our equation as:

(x + 3)^2 - 11 = 0

Then the correct option is B.

The **equation **that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.

To rewrite the equation x² + 6x - 2 = 0 by completing the **square**, we need to follow these steps:

Move the **constant term** (-2) to the other side of the equation:

x² + 6x = 2

Take half of the **coefficient** of x (which is 6) and square it. Add the result to both sides of the equation:

x² + 6x + (6/2)² = 2 + (6/2)²

x² + 6x + 9 = 2 + 9

x² + 6x + 9 = 11

Now, let's look at the answer choices:

A. (x+3)² = 18

B. (x+3)² - 11

C. (x+3)² - 2

D. (x+3)² - 9

Among the answer choices, the equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.

To know more about **equation:**

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please help i have an F right now

**Answer:**

4

**Step-by-step explanation:**

If you add up all of those, you get 24. Then you divide by 6. 24/6 = 4.

When eleven is reduced by one-third of a number, the result is 5

. Find the number.

**Answer:**

18

**Step-by-step explanation:**

11 - 1/3x = 5

Subtract 11 from both sides

-1/3x = -6

Multiply both sides by -3

x = 18

You have 32 cups of milk. You need 1.25 cups to make one serving of deep-fried chicken. How many servings can you make? Whole servings only - round down rather than using partial servings.

**Answer:**

25 cups and 3/5 of a cup

**Step-by-step explanation:**

Bro trust me

**Answer:**

25

**Step-by-step explanation:**

32÷1.25=25.6

I hope this helps ^-^

14.53 less then or greater then 16.3

**Answer:**

14.53 is less than 16.3, that is the answer

**Answer:**

14.53 is less than 16.3

yes this is mathematics

1A baroque musicians often don't play exactly what is written on the page.TrueOFalseOThe two main styles of Baroque music were the German and the English.O TrueFalseMusic has been written down in the same notation for hundreds of years.TrueFalse
Find the average number of people in these cities: New York, Philadelphia, Chicago and Detroit a. 3.35 million b. 40 million. C. 4.0 million d. 33.million
Read the excerpt from "The Night the Bed Fell."I suppose that the high-water mark of my youth in Columbus, Ohio, was the night the bed fell on my father. It makes a better recitation (unless, as some friends of mine have said, one has heard it five or six times) than it does a piece of writing, for it is almost necessary to throw furniture around, shake doors, and bark like a dog, to lend the proper atmosphere and verisimilitude to what is admittedly a somewhat incredible tale. Still, it did take place.Which word best describes the tone of this passage?humorousromanticsomberadventurous
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g Consider a pure sample of a radioactive isotope with a mass number of (46 A). If the sample has mass of (25.0 B) micrograms and the isotope has a half-life of (4.50 C)x106 years, determine the decay rate for the sample. Give your answer in decays/second and with 3 significant figures.
Grandma received 0.25 liters of medicine from her doctor. The directions asked her to take one teaspoonful 3 times daily until it is finished. A full teaspoon has a capacity of 4 ml. Grandma started taking her medicine on November 20th. What date should the medicine finish?
A stop sign is in the shape of a regular octagon. A regular octagon can be created using eight triangles of equal area. One triangle that makes up the stop sign has a base of 15 inches and a height of 18 inches. Calculate the area of the stop sign.a.1000 sq. inc.980 sq.inb.1080 sq. ind.1200 sq. in
What must students do with the 10 grid-ins on the math section of the PSAT?A. Mark the correct answer on a gridB. Mark the incorrect answer on a gridC. Arrive at an answer by creating a gridD. Arrive at an answer and put it in a grid
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Kurt added 3/4 of a cup of yellow raisins and 1/3 of a cup of black raisins to a batch of trail mix. How many cups of raisins did Kurt add in all?
2/10 + 6/100 = ?A: 8/10B: 8/100C: 26/10D: 26/100
A short true-breeding plant will always produce a short plant. True or false
Which perspective views socialization as an important process for kids and adults. Good socialization means conformity and a functional society.a Conflict TheorybFunctionalismc Feminismd Symbolic Interactionism
answer asap please and thank you
A magician showed a magic trick where he picked one card from a standard deck. Determined what the probability is that the card will be a red color or a queen card?
Please check my work brainlist for a decent answer
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What are the ordered pairs of thesolutions for this system of equations?f(x) = x2 2x + 3; f(x) = 6x(-3, [?]); ([ ]), ([ ])
Write an expression showing 5 less than the number K