10. ANEW ACAR. Solve for x and CR. *
X=
Given: ANEW ACAR
NE = 11
EW = 12
I
AR = 4y - 12
CA = 4x + 3
NW = x + y
Answers
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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Related Questions
Determine the surface area of the rectangular prism.
Answers
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
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.
Answers
Answer:
$1150 per month
Step-by-step explanation:
13800/ 12
please help i have an F right now
Answers
Answer:
4
Step-by-step explanation:
If you add up all of those, you get 24. Then you divide by 6. 24/6 = 4.
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)
Answers
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:
find the gcf of 2³×3² and 2³×3⁴ please no links
Answers
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
please answer asap! no scam links or scam comments or reported.
Answers
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:
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?
Answers
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 0.74. Then I divided 407 by 0.74 and I got 550. Therefore, 550 is our answer.
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.
Answers
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 ^-^
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.
Answers
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
Solve for x
Plz help!
Answers
please answer asap! no scam links or scam comments or reported.
Answers
Answer:
yeah the links are anoying
Step-by-step explanation:
the answer is C
mark brainliest or add heart and 5 stars or both
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?
Answers
Answer:
A. 60, B. 120.
Whats the correct answer?
Answers
Answer:
5 m ........... . . ...........
Find AB. Round the answer to the nearest tenth if needed.
Answers
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
14.53 less then or greater then 16.3
Answers
Answer:
14.53 is less than 16.3, that is the answer
Answer:
14.53 is less than 16.3
yes this is mathematics
Which expression is equivalent to 8x - 12y + 32
Answers
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
Hayden has 90 trading cards
Answers
Answer:
9
Step-by-step explanation:
90/10 =9
what is a good communication
Answers
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.
please help! find the key info for the graph given
Answers
axis of symmetry: x=-1
MAX
y-intercept: (0,3)
x-intercepts: (-3,0) (1,0)
domain: all real numbers
range:y<4
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?
Answers
Step-by-step explanation:
I think the answer is 3 pieces so Kelly had 3 pieces of Apple hope it helps.
whats 21(2 - m) + 12m = 44. please
Answers
Answer:
= − 2 /9
Step-by-step explanation:
Help please!
This is due on April 18th but I would prefer the answer today! No sus links please!
Answers
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
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.
Answers
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]
When eleven is reduced by one-third of a number, the result is 5
. Find the number.
Answers
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
Special right triangles. find the value of x?
hypotenuse = leg ×
[tex] \sqrt{2} [/tex]
Answers
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
Which of these expressions is equal to 3(30 - p)?
Answers
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
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
Answers
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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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
Answers
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?
Answers
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 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?
Answers
Answer:
the answer is 20+6h=15+8h
H= 8x + 15