What is the length of hn¯¯¯¯¯¯ ? segment a n with point h between a and n. congruency markings on segment a h and segment h n. segment a n is labeled as being 38 units long enter your answer in the box?
Answers
Answer:
The length of HN is 19 unit.
Step-by-step explanation:
Consider the provided information:
It is given that the length of line segment AN is 38 units.
Now consider figure 1:
It is given that the point H is in between A and N. Also with the concurrency markings on segment AH and segment HN.
Therefore, the length of the segment AH = HN
AH + HN = AN
Consider the length of AH = HN = x
Therefore,
[tex]x+x=38[/tex]
[tex]2x=38[/tex]
[tex]x=\frac{38}{2}[/tex]
[tex]x=19[/tex]
Hence, the length of HN is 19 unit.
Related Questions
Can someone please simplify 6c^2 + 2.5d - d + 2c^2 - 3d for me?
Answers
The penny size d is given by the literal equation d = 4n - 2, solve for n
Answers
Answer:
The value of the equation for n is [tex]n=\frac{d +2}{4}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]d = 4n - 2[/tex]
We need to solve the equation for n.
Add 2 from both the sides.
[tex]d +2= 4n - 2+2[/tex]
[tex]d +2= 4n [/tex]
Divide both side of the equation with 4.
[tex]\frac{d +2}{4}= \frac{4n}{4} [/tex]
[tex]\frac{d +2}{4}= n [/tex]
Hence, the value of the equation for n is [tex]n=\frac{d +2}{4}[/tex].
What is the exact value of the expression the square root of 294. - the square root of 24. + the square root 54.? simplify if possible. 8the square root of 2. 8the square root of 6. 12the square root of 2. 12the square root of 6?
Answers
Sqrt(294) + Sqrt(4x6) + Sqrt(9x6) =
Sqrt(294) + 2Sqrt(6) + 3Sqrt(6) =
Sqrt(294) + 5Sqrt(6)
Don't understand what you mean by the others.
Select all of the answers that apply. What type of information do scientist use to determine the approximate age of the earth? water layers of rock fossils atmospheric pressure
Answers
Answer:
Layers of rock
Fossils
Step-by-step explanation:
Layers of rock and fossils are types of information the scientists use to determine the approximate age of the earth.
Fossils found in rocks and the layering in rock formations play a vital role for the scientists to determine the approximate age of the earth.
which is larger 42mm or 10cm, 15mm or 0.15, 10mm or 2 cm
Answers
1. 10 cm
2. 15 mm
3. 2 cm
Hope this helps even though it's pretty late!
The measure of ∠BQS is 78°.
What is m∠NQS?
Enter your answer in the box.
m∠NQS = ?°
Answers
This angle is the whole thing.
∠BQN = 48
This means that ∠BQN + ∠NQS = ∠BQS.
48 + x = 78
Subtract 48 from both sides.
x = 30
∠NQS = 30.
The required measure of angle ∠NQS = 30°.
Given that,
The measure of ∠QBS is 78°. What is m∠NQS is to be determined?
The angle can be defined as the one line inclined over another line.
In mathematics, it deals with numbers of operations according to the statements.
Here,
∠NQS + ∠BQN = ∠BQS
∠NQS + 48 = 78
∠NQS = 78 - 48
∠NQS = 30
Thus, the required a measure of angle ∠NQS = 30°.
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The difference of three times a number and 4 is -19?
Answers
Find two consecutive even numbers such that the sum of the number and twice the greater number is 100
Answers
x+2x+4=100
3x=100-4
3x=96
x=32
The answer is 32 and 34.
By the question
X+2(x+2)=100
3x+4=100
3x=96
X=32
X+2=34
3. Start with the following statement: Vertical angles are congruent. a. State the conditional and three other forms of the statement. b. Write all 4 forms of the statement using symbols. c. If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive? BONUS: Use at least one truth table AND at least one property to support your reasoning.
Answers
Use inductive reasoning to describe each pattern and find the next two terms of each sequence.
1, 4, 9, 16, 25, …
Answers
1 (+3); 4 (+5); 9 (+7); 16 (+9); 25 (+11); 36 (+13); 49 (+15); 64 (+17); .......
Answer:
B. Multiply by 2; 64, 128.
An animal shelter spends $2.35 per day for each cat and $5.50 per day to care for each dog. Pat noticed that the shelter spent $89.50 caring for cats and dogs on Wednesday. (A) write an equation to represent the possible numbers of cats and dogs that could have been at the shelter on Wednesday. (b) pat said that there might have been 8 cats and 14 dogs at the shelter on Wednesday. Are pats numbers possible? Use your equation to verify your answer
Answers
A) 2.35c + 5.50d = 89.50
For B, they give you numbers to plug into your equation.
c = 8
d= 14
B) 2.35(8) + 5.50(14) = 89.50
18.80 + 77.00 = 95.80
So what Pat said is incorrect because that would mean they spent more than 89.50.
Hope this helps! :)
Find the equation of the line passing through the points (-3 5) and parallel to the y axis
Answers
an equation of the line passing through the points (-3 5) and parallel to the y axis : x = - 3
the difference of two numbers is 40. Their sum is 66. Find the numbers.
Answers
i) "The difference of two numbers is 40" means: a-b=40, thus
a=b+40
ii) "their sum is 66" means : a+b=66
In i) we found that a=b+40, so substitute a=b+40 in ii):
a+b=66
(b+40)+b=66
2b+40=66
2b=26
b=13
a=b+40=13+40=53
the numbers are 53 and 13
Divide x 4 + 7 by x - 3. 3x 3 + 3x 2 + 9x - 27 R88 3x 3 + 3x 2 + 9x + 27 R88 x 3 + 3x 2 + 9x + 27 R88
Answers
Solve: $|2x - 1| = |3x + 5|$. write your answers as a list of numbers, separated by commas,
e.g. "23, 19" (but without the quotes).
Answers
2x - 1 = 3x + 5
2x - 3x = 5 + 1
-x = 6
x = -6
Now, you have to interpret the absolute value. The absolute value of x is always the positive version of whatever the number is. Since x = -6, its absolute value is 6. Therefore, the possible value for x is only one, which is 6.
Solution 1:
If |a| = |b|, then either a = b or a = -b. Hence, if |2x - 1| = |3x + 5|, then either 2x - 1 = 3x + 5 or 2x - 1 = -(3x + 5).
If 2x - 1 = 3x + 5, then x = -6. If 2x - 1 = -(3x + 5), then x = -4/5. Therefore, the solutions are x = \boxed{-6, -4/5}.
Solution 2:
Another approach is to square both sides. Squaring both sides, we get 4x^2 - 4x + 1 = 9x^2 + 30x + 25 (because |a|^2 = a^2 for all a). This simplifies to 5x^2 + 34x + 24 = 0, which factors as (x + 6)(5x + 4) = 0, so the solutions are x = -6 and x = -4/5, as before. You must be careful when using this approach because squaring both sides of an equation can introduce false solutions. Thus, we need to check that both of these "solutions" work in the original expression before declaring them correct.
Look at the diagram. Which angle is complementary to < EOD
A. < EOD
B. < EOC
C. < AOC
D. < AOB
Answers
< EOD + < AOB = 90
60 + 30 = 90
ur answer is < AOB
Answer:
D. [tex]\angle AOB[/tex]
Step-by-step explanation:
Since we know that complementary angles add up-to 90 degrees.
We can see from our given diagram that angle EOA and angle EOC is a linear pair of angles. The measure of angle EOA is 90 degrees, so EOC will be 90 degrees as well (Linear pair of angles must add up to 180 degrees).
We can also see that [tex]\angle EOC=\angle EOD+\angle COD[/tex].
Upon substituting value of angle EOC we will get,
[tex]90^o=\angle EOD+\angle COD[/tex]
We can see from our given diagram that angle COD and angle AOB are vertical angles.
[tex]\angle COD=\angle AOB[/tex]
Since vertical angles are equal, so by substitution property of equality we will get,
[tex]90^o=\angle EOD+\angle AOB[/tex]
Therefore, [tex]\angle AOB[/tex] is complementary to [tex]\angle EOD[/tex] and option D is the correct choice.
"cary is 8 8 years older than dan. in 5 5 years the sum of their ages will be 96 96. find the age of each man now."
Answers
"Cary is 8
years older than Dan. In 5 years the sum of their ages wil equal 96. Find both
their ages now. Solve using equations."
x = Dan's age now
x + 8 = Cary's age now {Cary is 8 yrs older than Dan}
x + 5 = Dan's age in 5 years
x + 13 = Cary's age in 5 years
x + 5 + x + 13 = 96 {in five years the sum of their ages will be 96}
2x + 18 = 96 {combined like terms}
2x = 78 {subtracted 18 from both sides}
x = 39 {divided both sides by 39}
x + 8 = 47 {substituted 39, in for x, into x + 8}
Dan is 39 years old
Cary is 47 years old
A box of crackers weighs 11 1/4 ounces. kaden estimates that one serving is 3/4 ounces. How many servings are in the box?
Answers
ivied 11 1/4 by 3/4
11 1/4 = 45/4
45/4 / 3/4 =
45/4 *4/3 = 180/12 = 15
there are 15 servings
Answer:
there are 11 servings in all
Pleaeseee help on this probability question
Answers
there are 4 eggs total 3 plain and 1 gold
so you have a 1/4 probability of picking the gold egg
If y varies directly as x^2 find k when x=2 and y=8
Answers
Final answer:
To find the constant of proportionality k when y varies directly as x^2, given that x=2 and y=8, set up the equation y = k × x^2 and solve for k, resulting in k = 2.
Explanation:
If y varies directly as x2, it means that y is equal to k times x2, where k is the constant of proportionality. To find k when x is 2 and y is 8, we set up the following equation based on the definition of direct variation:
y = k × x^2
Substitute the given values into the equation:
8 = k × (2^2)
Solve for k:
8 = k × 4
k = 8 / 4
k = 2
Thus, the constant of proportionality, k, is equal to 2 when x is 2 and y is 8.
An angle is exactly half its complement. what is the angle
Answers
So, the answer: 30 degrees.
God bless!
let x = angle
x = 1/2(90-x)
2x = 90-x
3x=90
x = 90/3 = 30
x = 30 degrees
the two solutions of 2x squared +1 =5x are j and k. What is the value of (j-1)(1-k)
Answers
1st pair : j=(5+sqrt(17))/4 & k=(5-sqrt(17))/4
2nd pair : j=(5-sqrt(17))/4 & k=(5+sqrt(17))/4
If you look carefully , both of the answers are merely the same , they inly switched between the - and + .
For the first and second pairs , you will get only one answer for (j-1)(1-k) , which is 1
Final answer:
The two solutions of the quadratic equation 2x squared + 1 = 5x are j = 1 and k = 1/2. The value of (j-1)(1-k) with these solutions is 0.
Explanation:
To solve the equation 2x squared + 1 = 5x, we first bring all terms to one side to get a quadratic equation:
2x2 - 5x + 1 = 0
Using the quadratic formula, x = [-b ± √(b2 - 4ac)]/(2a), where a = 2, b = -5, and c = 1, we find that the two solutions (j and k) of the equation are j = 1 and k = 1/2.
The value of (j-1)(1-k) with these values is:
(j - 1)(1 - k) = (1 - 1)(1 - 1/2) = (0)(1/2) = 0
Therefore, the value of (j-1)(1-k) is 0.
How can you avoid getting a flat tire 1.3?
Answers
To avoid getting a flat tire, one should maintain correct tire pressure, avoid sharp objects on the road, inspect the tires frequently, and consider using tire liners or puncture-resistant tires.
Explanation:To avoid getting a flat tire on a bicycle, regular maintenance is important. This includes checking the tire pressure routinely, which should be ideally conducted every few weeks. Correct tire pressure prevents the tires from getting punctured easily. It's also essential to avoid sharp objects on the road, as these can cause punctures. Regularly inspecting the tires for small cuts and objects stuck into them can also help prevent a flat tire. Lastly, using tire liners or puncture-resistant tires can further protect your tires from getting flat.
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Now suppose that the 5 (identical) prizes will be distributed among the 8 people. a winner can receive more than one prize. in how many ways could the 5 prizes be distributed?
Answers
If you put the number it will become C(5+8-1, 8-1)= C(12,7)
Then the possible way should be:
12!/ 7! 5!= 479001600/ 120*5040= 792 ways
Which expressions have a value of 1/2?
Choose all answers that are correct.
A) 2^3/2^4
B) 2^-1
C) 2^0
D) 2^1
Answers
B) 2^-1 = 1/2^1 = 1/2; YES
C) 2^0 = 1; NO
D) 2^1 = 2; NO
Hope this helped!
2^-1 will be 1/2 which is .5
2^3/2^4 you divide the whole numbers and subtract the exponents, so it will be 2^-1 which is .5
what makes this graph misleading?
Answers
it goes from 10,15, 20 to 30. it should actually be 35
the second is accurate because it keeps going up by 50
An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown.
110, 130, 150, 170, ...
Which recursive formula can be used to determine the total amount of money earned for each successive hour worked based on the amount of money currently earned?
Answers
so equation is
f(x)=pay
x=hours worked
solve so
f(1)=110
f(2)=130
f(3)=150
f(4)=170
they seem to be increasing in 20 increments so therefor the pay is linked to hours times 20 so that measn that every hour he works, he gets 20 dollars
therefor the answer is f(n+1)=f(n)+20 since we know that 1 hour=$20 so n+1hour=n+$20
the answe ris f(n+1)=f(n)+20
The recursive formula that could be used for measuring the total amount of money is f(n+1)=f(n)+20.
Given that,
The electrician earns $110.And, the sequence should be 110, 130, 150, 170, and so on. Here we assume that f(x) represent pay. And, x be the number of hours worked.Based on the above information, we can see that there are 20 increments in every next number.
So, the equation should be f(n+1)=f(n)+20
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NEED ANSWERS ASAP 80 POINT QUESTIONS
a) The value of homes in one area went up by an average of 2.3% in the past year. Estimate the value today of a home that was valued at $265,000 last year.
b) This year, the annual sales through one Century 21 office with 12 sales agents were $42 million. Estimate the revenue for the office if it received an average of 20% of the 6% commission on sales.
c) a) From the revenue in part (b) above, the office manager must pay all costs of operating the sales office, including advertising, utilities, phones, insurance, and salaries for all noncommission employees. For the current year, these costs amount to $468,000. Find the profit as a percent of total revenue to the real estate office and round to the nearest tenth of a percent.
Answers
A) 265,000* 1.023 = $271,095
B) 42,000,000*0.06 = 2,520,000*0.20 = $504,000
C) 504000 - 468000 = 36000/504000 = 0.0714 = 7.1%
A number minus two-thirds of that number is 24
Answers
Solving:
1/3x = 24
x = 72
Hope this helped!
During summer vacation, you charge people $8 per hour for swimming lessons and a $20 registration fee. If you make $52 one day, how many hours did you spend teaching lessons?
Answers
$8 * 4 hrs = 32
Add the additional $20 registration fee and you got $52.