can u guys show me how 58 is the right answer? i need to see where i went wrong so please include the whole process.

Can U Guys Show Me How 58 Is The Right Answer? I Need To See Where I Went Wrong So Please Include The

Answers

Answer 1

NMO = LMO = x+34

LMO = 1/2 of LMN

so 2(x+34) = 6x-28

2x+68 = 6x-28

2x +96 = 6x

96 = 4x

x =96/4 = 24

x = 24

 LMO = x+34 = 24+34 = 58

 since NMO = LMO, NMO = 58


Related Questions

write the multiplier or divisor for each pair of equivalent fractions 1/4 = 7/28

Answers

the equivalent fraction is 1/4 = 7/28
the multiplier or divisor for the equation is 7
if we divide to each pair of equation with 7 equation we get the same answer 
like when we 7 is divisor in 1 / 4 we get the answer 1/ 28
and with 7/ 28, we also get the answer 1 / 28
and the when we multiply 7 with 1/4 we get the answer 7/4 and with 7 /28, also the answer is 7/4.

A snowmobile traveled 32 miles in 2 1/3 hours. The distance is the product of the rate and the time. To the nearest tenth, what was the average speed of the snowmobile? Enter your answer in the box.

Answers

divide 32 miles by 2 1/3 hours

32/2.33333 = 13.7143

 to nearest tenth = 13.7 miles per hour

Answer: [tex]13.7\text{ miles per hour}[/tex].

Step-by-step explanation:

Given : A snowmobile traveled 32 miles in [tex]2\dfrac{1}{3}[/tex] hours i.e.[tex]\dfrac{7}{3}[/tex] hours.

The distance is the product of the rate and the time.

i.e. The formula we use to find the average speed is given by :-

[tex]\text{Average Speed}=\dfrac{\text{Distance}}{\text{Time}}\\\\\Rightarrow\ \text{Average Speed}=\dfrac{32}{\dfrac{7}{3}}=\dfrac{32\times3}{7}=13.7142857143\approx13.7\text{ miles per hour}[/tex]

Hence, the average speed of the snowmobile was [tex]13.7\text{ miles per hour}[/tex].

What is the length of line segment KJ?

A. 2√3 units
B. 3√2 units
C. 3√5 units
D. 3√3 units

Answers

∠KMJ = 180° - 90° (adjacent angles on a straight line)
= 90°

Using Pythagora's Theorem,
KJ² = 6² + 3²
KJ² = 45
KJ = √45
= √9√5
= 3√5

The answer is C. The length of line segment KJ is 3√5 units.

Answer:

the answer is the option C

[tex]KJ=3\sqrt{5}\ units[/tex]

Step-by-step explanation:

we know that

The triangle KMJ is a righ triangle

so

Applying the Pythagoras Theorem

[tex]KJ^{2}=KM^{2}+MJ^{2}[/tex]

in this problem we have

[tex]KM=6\ units[/tex]

[tex]MJ=3\ units[/tex]

substitute

[tex]KJ^{2}=6^{2}+3^{2}[/tex]

[tex]KJ^{2}=45[/tex]

[tex]KJ=\sqrt{45}=3\sqrt{5}\ units[/tex]

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains
4

liters of natural oil for every
5

liters of synthetic oil. If
296

liters of natural oil are used, how many liters of Petrolyn oil will be made?

Answers

370 liters The problem states that you can make 5 liters of the synthetic oil for every 4 liters of natural oil. So you simply divide the amount of natural oil you have by 4 and then multiple the result by 5 to get the amount of synthetic oil produced. The formula is V = N/4 * 5 Substituting the known value of 296 for N gives V = 296 / 4 * 5 = 74 * 5 = 370 So you can make 370 liters of Petrolyn oil from 296 liters of natural oil.

Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina? Rita and Tina's total weekly wages can be represented as 11(r)(t) + 32 (11r + 32) + 11t (11t + 32r) + 11r , 11(r + t) + 32 11(r + t) + 32r 11(rt) + 32 , or 11r + 11t + 32 11rt + 32 11r + 32t + 11

Answers

The cost per hour is $11, at that point, the coefficient of the quantity of hours Rita and Tina had worked. With respect to Rita, she will get an additional $32 level wage for her extra hours. It wont be duplicated any further. Mathematically: 

Rita's Total Wages = 11r + 32

Tina's Total Wages = 11t

Study the Proof Given.

List the reasons for Items 2,3, & 4.

Right the number and then the answer.

Answers

Given that B is the midpoint of line AC and line BC is congruent to line DE.

The following statements and reasons, proves that line AB is congruent to line DE.

     Statement                                                   Reasons

1.  B is the midpoint of line AC                        Given
2.  Line AB is congruent to line BC.                 Midpoint of a line segment
3.  Line BC is congruent to line DE                  Given
4.  Line AB is congruent to line DE                  Transitive property

Circle K has a diameter of 24 inches. Find the exact length of semicircle HJI. In your final answer, include all of your calculations.

Answers

When you say length, I am assuming you mean the circumference?

First find the circumference: [tex]c = 2\pi\r[/tex]
r = radius = 24/2 = 12
Now plugin 12 for r
 [tex]c = 2\pi\r[/tex]
 [tex]c = 2\pi12[/tex]
Now solve 
[tex]c = 2\pi12[/tex]
Now divide in half
[tex]c = 2\pi12 = 75.398[/tex]
[tex]sim-c = \frac{2\pi12}{2} = 37.6991 [/tex]
OR
[tex]sim-c = \frac{75.398}{2} = 37.6991 [/tex]



Answer:

12 π inches

Step-by-step explanation:

1) Since semicircles = 180 degrees, semicircle HJI = 180 degrees.

2) Make a ratio: 180/360. Simplify it: 1/2.

3) Then do: 1/2 x π d  -->  1/2 x π 24. You should get: 12 π.

4) So, the exact length of semicircle HJI = 12 π inches.

(The reason you are supposed to leave it 12 π centimeters is because only if the question asks you to find the approximate length of the arc, then you can use 3.14 instead of π. But if the question asks you to find the exact length of the arc, you have to leave it as said above because you would still have to round the answer (if you multiply 12 by pi), which makes it an approximate answer, not an exact answer.)

pi (π) = 3.14159265359......................

Pi is an endless number.

Hope this helps!  :)

solve

5x+3y=-27
-9x+2y=19

Answers

45x+27y=-243
-45x+10y= 95

37y= -148

y= -4

5x-12= -27

5x=-15

x=-3

How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year,
compounded quarterly?

Answers

The formula is
A=p (1+r/k)^kt
A future value 30000
p present value 20000
R interest rate 0.15
K compounded quarterly 4
T time?
30000=20000 (1+0.15/4)^4t
Solve for t
Divide both sides by 20000
30000/20000=(1+0.15/4)^4t
Take the log of both sides
Log (30000/20000)=4t×log (1+0.15/4)
Divide both sides by log (1+0.15/4)
4t=Log (30000/20000)÷log (1+0.15/4)
Divide both sides by 4
T=(log(30,000÷20,000)÷log(1+0.15÷4))÷4
T=2.7 years round your answer to get 3 years

Hope it helps!

Which reason supports the true statement that angle1 and angle8 are supplementary?
m || n with
transversal t

Answers

Because 1 and 8 are on a line and are a linear pair, that makes them supplementary. Linear pair definition is the reason.

Hope this helps!!
Angles 1 and 8 are created by line t intersecting with line m.


Line t is called a transversal line, because it intersects 2 parallel lines.

t divides the straight angle formed by m alone, forming the linear pair of angles (1) and (8), whose sum is 180 °, that is they are supplementary.


Answer: (1) and (8) are linear pairs

Andrea is selling candles as a fundraiser. she spent $50 on supplies for making the candles. she plans to sell the candles for $10 each. her profit can be modeled by c(x)=10x-50. what is the domain and range of the function

Answers

The domain will consist of all non-negative real numbers (x ≥ 0).

And, the range will consist of all real numbers (-∞, +∞).

Given that;

The function is,

c (x) = 10x - 50

Now for the domain and range of the function c(x) = 10x - 50,

Since the domain refers to all the possible input values (x) for the function.

In this case, since c(x) represents the profit from selling candles, x would represent the number of candles sold.

The number of candles sold cannot be negative, as it wouldn't make sense to sell a negative number of candles.

So, the domain will consist of all non-negative real numbers (x ≥ 0).

And, The range refers to all the possible output values (c(x)) of the function.

In this case, c(x) represents the profit. The profit can be any real number because it can be positive, negative, or zero.

Therefore, the range will consist of all real numbers (-∞, +∞).

Thus, Domain: All non-negative real numbers (x ≥ 0).

Range: All real numbers (-∞, +∞).

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Suppose g is an odd function and let h = f ∘ g. is h always an odd function?

Answers

No we can not say that h will always an odd function. Because we don't know about the function f.

As we know Multiplication of two odd function is even function. And Multiplication of one even and one odd function is an odd function.

So if f is an odd function then we can say h is a multiplication of two odd function and multiplication of f and g will be an even function. So h will be an even function.

Similarly if f is an even function then h is a multiplication of one even and one odd function and multiplication of f and g will be an odd function.


Final answer:

The composition h = f о g is only guaranteed to be an odd function if both g and f are odd functions. If f is an even function or neither odd nor even, h will not necessarily be an odd function. The property of the composition depends on the nature of both functions involved.

Explanation:

Whether the composition of functions h = f о g is always an odd function when g is an odd function depends on the nature of f. If g(x) is an odd function, it follows that g(-x) = -g(x). However, for h to also be odd, f must satisfy the condition h(-x) = -h(x). This can only be the case if f is also an odd function.

If f were an even function, then f(g(-x)) = f(-g(x)) would equal f(g(x)) due to the even property of f. In this scenario, h would not be an odd function since h(-x) = f(g(-x)) = f(g(x)) = h(x), which violates the definition of an odd function.

When an odd function and an even function are multiplied, the result is an odd function, as exemplified by g(x) = x³ - 3x and h(x) = x². But when composing functions, the outer function's properties dominate the result. Therefore, the composition h = f о g can only be assured to be odd if f itself is odd.

The sum of a number and its square is 210. find the​ number(s).

Answers

I think it's x=14 hope this helped

The required number, whose sum with its square is 210, is -15 and 14.

Given that,
The sum of a number and its square is 210. To determine the​ number(s).

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number be x,
according to the question,
x + x² = 210
x² + x -210 = 0
x² + 15x - 14x  - 210 = 0
x(x + 15) -14 (x + 15) = 0
(x + 15)(x - 14) = 0
x = -15 and 14

Thus, the required number, whose sum with its square is 210, is -15 and 14.

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Which is a way to check the answer 120 divided by 4 = 30

Answers

Multiply 4 and 30. If the answer is 120, then you are correct.
120/4=30
120=30 x 4
Move 4 to the back and switch division to multiplication.

The sum of three consecutive even integers is 174 what are the integers?

Answers

Hello There!

Call the first number n.
n + n + 2 + n + 4 = 174
Simplify:
3n + 6 = 174
Subtract 6:
174 - 6 = 168
Divide by 3:
168/3 = 56.

The numbers are 56, 58 and 60

Hope This Helps You!
Good Luck :)

The required three consecutive even integers are 56, 58, and 60.

Given that,
The sum of three consecutive even integers is 174 what are integers is to be determined?

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values


Here,
Let the three even integers be 2x, 2x+ 2 and 2x + 4
Now, accoding to the question,

2x + 2x + 2 + 2x + 4 = 174
6x + 6 = 174
x = 28

Now,
2x =28 * 2 = 56

2x + 2 = 56 + 2 = 58
2x + 4 = 56 + 4 = 60

Thus, the required three consecutive even integers are 56, 58, and 60.


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Which of the following is not true regarding sets of numbers?


A-All rational numbers are integers.

B-All whole numbers are rational numbers.

C-All irrational numbers are real numbers.

D-All integers are rational numbers.

Answers

Answer:

A:All rational numbers are integers

Step-by-step explanation:

We are given that a set of numbers

We have to find not  true statement about the regarding set of numbers

We know that all integers are rational number but all rational  number .

are not integers.

All whole numbers are rational number but all rational number are not whole numbers.

All irrational numbers are real numbers but all real numbers are not irrational numbers.

Hence, option A is true.

Answer:All rational numbers are integers.

Write an equation of a vertical line passing through the point (5,-4). Show all work.

Answers

x=5
A verticle line is written with x= something so the y can be anything

Given: E is the midpoint of DF
Prove: 2DE = DF

Answers

E is the midpoint so it's HALF of DF

Since it's half that means DE and EF have the same length.

Therefore DE multiplied by 2 is DF.

Considering DF is the full length.

Answer:

2DE = DF.

Hence Proved.

Step-by-step explanation:

Given  :  E is the midpoint of DF.

To Prove  :  2DE = DF

Proof :

We have given a line DF .

D____________F.

Mid point = E

Mid point : It is that point that divide the line in to two equal parts .

D______E______F.

So, DE = EF.

We can say DE=  [tex]\frac{1}{2}DF[/tex].

On multiplying both sides by 2.

2DE = DF.

Hence Proved.

Therefore, 2DE = DF.

Hence Proved.

The amount of jen's monthly phone bill is normally distributed with a mean of $76 and a standard deviation of $9. what percent of her phone bills are between $49 and $103

Answers

Final answer:

Approximately 99.73% of Jen's phone bills are between $49 to $103. This is calculated by transforming the prices into z-scores regarding the normal distribution and then checking these z-scores in a standard normal distribution table.

Explanation:

The problem is a question about the normal distribution. Using the properties of a normal distribution, we can solve it as follows:

First, transform the phone bill amounts into z-scores. The z-score is the number of standard deviations from the mean.For $49, the z-score is (49 - 76) / 9 = -3.For $103, the z-score is (103 - 76) / 9 = 3.Next, look up these z-scores in a standard normal distribution table or use a calculator that can calculate areas under the normal distribution.The table or the calculator will give you the percent of all observations falling below these two scores.The area to the left of z = 3 (or to the right of z = -3) is about 99.865%, and the area to the left of z = -3 is about 0.135%. Finally, subtract the percentages to get the percent of phone bills between $49 and $103.This is 99.865% - 0.135% = 99.73%.

In conclusion, about 99.73% of Jen's phone bills are between $49 and $103.

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99.74% of Jen's monthly phone bills are between $49 and $103.

To answer this question, we need to understand the properties of the normal distribution. For a normally distributed variable with a mean (μ) of $76 and a standard deviation (σ) of $9, we can use the Z-score formula:

[tex]Z = \frac{(X - \mu)}{\sigma}[/tex]

We now convert $49 and $103 to Z-scores:

For $49:

[tex]Z = \frac{(49 - 76)}{9} = -3[/tex]

2. For $103:

[tex]Z = \frac{(103 - 76)}{9} = 3[/tex]

Next, we use the Z-table to find the probabilities corresponding to these Z-scores:

For Z = -3, the probability is 0.0013 (or 0.13%)

For Z = 3, the probability is 0.9987 (or 99.87%)

To find the percentage of phone bills between $49 and $103, we subtract these values:

[tex]P(49 < X < 103) = 0.9987 - 0.0013 = 0.9974[/tex]

Finally, converting this to a percentage, we get:

[tex]0.9974 \times 100\% = 99.74\%[/tex]

Therefore, 99.74% of Jen's monthly phone bills are between $49 and $103.

How many times can 167 go into 1135.

Answers

It can go 6.8 times


Good luck! :D
you would divide 1135 by 167 which equals 6.79640719

Alvin is 6 years older than Elga. The sum of their ages is 106 . What is Elga's age?

Answers

Elga's age is 50, and Alvin's age is 56. So, the sum of their ages is 106.
Let the age of Elga be x.

Age of Alvin = x + 6

Sum of ages = 106

x + x + 6 = 106

2x + 6 = 106

2x = 106 - 6

2x = 100

x = [tex] \frac{100}{2} [/tex] 

x = 50

Hence, Elga is 50 years old.

What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and rational number.


Can someone check my answer, please? I would deeply appreciate it.

"Rational numbers are numbers that can be written in fraction form. The numbers are all integers. Irrational numbers are numbers that cannot be written as a fraction. They are non-repeating and nonterminating decimals. For example 6.12385546972578945213666479952145412639854845256987452874526874125874........ Is an irrational number. And 1/6, 2,9, and 3/4 are all rational numbers."

Answers

You have a good response. The only critique I can think of is to reduce the size of that massive decimal number. It doesn't have to be huge as long as it's a random string of digits. For example, e = 2.71828182846... is irrational since it has no pattern in the decimal portion. The decimal portion also goes on forever. 

What is 1507 million in standard form?

Answers

1,507,000,000

One billion, five hundred seven million

Answer:

1,507,000,000

Step-by-step explanation:

We are asked to write 1507 million in standard form.

We know that 1 million equals 1,000,000.

To convert 1507 million in standard form, we will multiply 1507 by 1,000,000 as shown below:

[tex]\text{1507 million in standard form}=1507\times 1,000,000[/tex]

[tex]\text{1507 million in standard form}=1,507,000,000[/tex]

Therefore, 1507 million in standard form would be 1,507,000,000.

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

the answer is #K12. hope this helps

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.

paige deposited $490.28 in a savings account that earns 3.7% simple interest. what is paige’s account balance after eleven years

Answers

(11*.037+1)*490.28= 689.82 

Hope I helped :)

Suppose you write a sum of numbers as a product of their GCF and another sum. What is the GCF of the number in the other sum? Explain

Answers

example :
20 + 30.....GCF = 10

10(2 + 3)

The GCF of the number now is 1....because u have basically already factored the GCF out.....leaving only 1 as a factor now

here's another one...
3 + 9...GCF = 3
3(1 + 3)
so the GCF now is 1

Factor the expression -24x+32

Answers

The answer to the question is
-8 (3x-4)

You have to get the R by itself

Answers

A = r/2L

A(2L) = r/2L(2L)       (multiply 2L to both sides to isolate r)

A(2L) = r   is your answer

hope this helps
If A = r / 2L, multiply both sides by 2L. 

2L cancels itself out and the new equation is (A)(2L) = r.

binomial ( 5x - y ) ^ 10 terms ax ^ 2 y ^8

Answers

[tex]\bf (5x-y)^{10}\implies \begin{array}{llll} term&coefficient&value\\ -----&-----&-----\\ 1&+1&(5x)^{10}(-y)^0\\ 2&+10&(5x)^9(-y)^1\\ 3&+45&(5x)^8(-y)^2\\ 4&+120&(5x)^7(-y)^3\\ 5&+210&(5x)^6(-y)^4\\ 6&+252&(5x)^5(-y)^5\\ 7&+210&(5x)^4(-y)^6\\ 8&+120&(5x)^3(-y)^7\\ 9&+45&(5x)^2(-y)^8 \end{array}[/tex]

now, how do we get the coefficients?  well, the first coefficient is 1, any subsequent is " the product of the current terms's coefficient and the exponent of the first element, divided by the exponent of the second element in the next term", now that's a mouthful, but for example,

how did get 210 for the 5th expanded term?  well is just 120 * 7 / 4

how about 252 of the 6th term?   210 * 6 / 5.

how about 45 of the 9th one?  120 * 3 / 8.

of course, the exponents for each is simple, as you'd already know from the binomial theorem.

so, just expand away the 9th expanded term.

88,999 Round to the nearest ten thousand

Answers

It would be 90999 I am really sure :D
88,999 rounded to the nearest ten thousand is 90,000. The 10 thousand spot is the second 8. So since that's higher than 5, you round up.

90,000.
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