If O is the midpoint of LN and P is the midpoint of MN and if OP = 31 - 2x, and LM = 38 + 4x, then the measure of LM = 88
As per the question statement, Triangle LMN where O is the midpoint of LN and P is the midpoint of MN and if OP = 31 - 2x, and LM = 38 + 4x, we are supposed to find the measure of LM.
As O is the mid point of LN and P is the midpoint of OP the using the Mid point theorem, we can say that in Triangle LMN
\(OP=\frac{LM}{2}\)
Substituting values,
\(31-2x=\frac{38+4x}{2} \\2(31-2x)=38+4x\\62-4x=38+4x \\8x = 100\\x=12.5\)
LM = 38 + 4x
\(LM = 38 + 4(12.5)\\LM=38 + 50\\LM=88\)
Hence value of LM is 88
This question is a classic example of how to solve linear equations.
Linear equations: Linear equations are a combination of constants and variables where the value of variable is calculated using mathematical operations.To learn more about linear equations, click the link below:
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which one ? please help! I’ll mark brainliest!
Answer:
w ≥ 66
Step-by-step explanation:
You know that anything less than 66 would not cause any effect, so you need something that is exactly 66 or more than 66 for the airbag to deploy.
Thus, w ≥ 66
≥ means that w is more than or equal to 66. (66 and above)
< means that w is less than 66. (65 and below)
> means that w is more than 66. (67 and above)
≤ means that w is less than or equal to 66. (66 and below)
Answer:
w<66 is the answer i believe
How much would a 5% tip be on a bill that cost $75.00?
Answer:
Step-by-step explanation:
it would be a 20% tip
Answer:
3.75
Step-by-step explanation:
5% of 75 is 3.75
There are 180 people registered to attend a conference. In order to seat all of the attendees, rows of 12 chairs are set up in the conference room. How many rows need to be set up in order to seat all the attendees with no extra chairs?
Answer:
15 rows
Step-by-step explanation:
180 divided by 12 is 15.
if it takes 2 men, 3 days to paint a house how long will it take 6 men
hire 6 men and time then with a stopwatch and then you have your answer
What is the inverse of function g(x) = -x-2/x+4 ? G^-1(x)=
Answer:
Step-by-step explanation:
Realiza estas operaciones y expresa el resultado en metros 1m-(5dm3cm) (2hm4m)+35dam (3hm6dam)+(8dam5m) (2m5dm6cm)-85cm
Answer:
126.109,63 m
Step-by-step explanation:
Por conveniencia, todas las unidades se convierten a m
1000 m = 1 km
100 m = 1hm
10m = 1 presa
1 m = 1 m
10dm = 1m
100 cm = 1 m
1000 mm = 1 m
1m- (5dm3cm) (2hm4m) + 35dam (3hm6dam) + (8dam5m) (2m5dm6cm) -85cm
= 1m- (5/10 +3/100) (2 * 100 + 4m) + 35 * 10 (3 * 100 + 6 * 10) + (8 * 10 + 5m) (2m + 5/10 + 6/100 ) -85/100
= 1 m- (0.5 +0.03) (200 + 4m) +350 (300 +60) + (80 + 5m) (2m + 0.5 + 0.06) -85/100
= 1 m- (0,53) (204 m) +350 (360) + (85 m) (2,56) -85/100
= 1 m- (108,12 m) +126000+ (217,6) - 0,85
= 126.109,63 m
For convenience all units are converted to m
1000m = 1km
100 m= 1hm
10m = 1 dam
1m= 1m
10dm= 1m
100 cm= 1 m
1000 mm= 1m
1m-(5dm3cm) (2hm4m)+35dam (3hm6dam)+(8dam5m) (2m5dm6cm)-85cm
= 1m-(5/10 +3/100) (2*100 +4m)+35*10 (3*100 +6*10)+(8*10+5m) (2m+5/10+6/100)-85/100
= 1m-(0.5 +0.03) (200 +4m)+350 (300 +60)+(80+5m) (2m+0.5+0.06)-85/100
= 1m-(0.53) (204m)+350 (360)+(85m) (2.56)-85/100
= 1m-(108.12m)+126000+(217.6)- 0.85
= 126,109.63 m
If a snowball melts so that its surface area decreases at a rate of3 cm2/min, find the rate atwhich the diameter decreases when the diameter is 12 cm. (Give your answer correct to 4 decimal places.)
When the diameter is 12 cm, the rate at which it is decreasing is approximately 0.0398 cm/min.
The surface area of a sphere is given by the formula A = 4πr^2, where r is the radius of the sphere. Since the diameter is twice the radius, we have r = d/2, where d is the diameter. Thus, the surface area of the sphere in terms of the diameter is A = πd^2.
To find the rate at which the diameter is decreasing, we need to take the derivative of the surface area with respect to time and use the chain rule:
dA/dt = dA/dd * dd/dt
where dA/dt is the rate of change of the surface area, and dd/dt is the rate of change of the diameter.
Taking the derivative of the surface area gives us:
dA/dt = 2πd * dd/dt
Plugging in the given rate of change of the surface area (-3 cm^2/min) and the given diameter (12 cm), we get:
-3 = 2π(12) * dd/dt
Solving for dd/dt, we get:
dd/dt = -3 / (24π) = -0.0398 cm/min (rounded to 4 decimal places)
This means that for every minute that passes, the diameter of the snowball is decreasing by about 0.0398 cm.
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Stefan just measured himself and found out he is 73.2 inches tall. The last time he measured, he was 60 inches tall. What percent taller is Stefan now?
NEED HELP NOW PLEASE!!!!
It's prob the first one but I'm not sure
Rob's office recycled a total of 12 kilograms of paper over 2 weeks. How many weeks will it
take Rob's office to recycle a total of 18 kilograms of paper? Assume the relationship is
directly proportional.
weeks
HOW MANY WEEKS ???
Answer:
3 unless you're adding onto the 12 kilograms, then only 1
Step-by-step explanation:
What is an equation of the line that passes through the point (-2,-4) and is parallel to the line 5x - 2y =6?
Step-by-step explanation:
-2y=-5x+6
y=5/2(x)-3
-4=-5+1
y=5/2(x)+1
A cube has a total surface area of 150 inches squared. Considering every side length is
congruent, and every face equivalent on a cube, what is the side length?
Answer:25.0
Step-by-step explanation: 5.0 times 5.0
graham is hiking at an altitude of 14,040 feet and is descending 50 feet each minute. max is hiking at an altitude of 12,500 feet and is ascending 20 feet each minute. how many minutes will it take graham and max to meet at the same altitude? a. 18.5 minutes b. 36 minutes c. 51.3 minutes d. 22 minutes
Answer: D:22,
14,040-12,500=1540.
1540/70 = 22
If t < s and s < r, what us the relationship between the values t and r?
Answer:
12
Step-by-step explanation:
True or False: The transition to ICD-10 from ICD-9 occurred more than 20 years after ICD-10 was finalized by the WH
While the WHO finalized ICD-10 in 1990, the specific timing of the transition from ICD-9 to ICD-10 varied across different countries and healthcare systems.
What is International Classification of Diseases?In order to communicate diseases, symptoms, aberrant findings, and other components of a patient's diagnosis in a way that is widely recognised by people in the medical and insurance industries, healthcare professionals use the International Classification of Diseases (ICD) codes. ICD-10 is the name of the most recent edition, which is the tenth.
The World Health Organization (WHO) indeed finalized the ICD-10 (International Classification of Diseases, 10th Edition) in 1990. However, the transition from the previous version, ICD-9, to ICD-10 varied across different countries and healthcare systems.
In the US, for example, the transition to ICD-10 took place on October 1, 2015. This means that healthcare providers, insurers, and other entities in the US started using the ICD-10 codes for diagnoses and procedures from that date onwards. Therefore, in the context of the US, the transition to ICD-10 occurred more than 20 years after its finalization by the WHO.
However, it's important to note that other countries may have implemented ICD-10 at different times. The timing of adoption and implementation varied globally, and some countries may have transitioned to ICD-10 earlier or later than others.
In summary, while the WHO finalized ICD-10 in 1990, the specific timing of the transition from ICD-9 to ICD-10 varied across different countries and healthcare systems.
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7. Drag the fractions in order from least to greatest value.7/4, 4/8, 7/8, 3/4
7/4 can be expressed as
\(\frac{7}{4}=\frac{7}{4}\cdot\frac{2}{2}=\frac{7\cdot2}{4\cdot2}=\frac{14}{8}\)3/4 can be expressed as
\(\frac{3}{4}=\frac{3}{4}\cdot\frac{2}{2}=\frac{3\cdot2}{4\cdot2}=\frac{6}{8}\)Then, the fractions to compare are:
14/8, 4/8, 7/8, 6/8
We can order them only considering the numerators. from least to greatest value the ordered list is:
4/8, 6/8, 7/8, 14/8
or
4/8, 3/4, 7/8, 7/4
A commercial jet has been instructed to climb from its present altitude of 10000 feet to a cruising altitude of 31000 feet. If the plane ascends at a rate of 1500 filmin, how long will it take to reach its cruising attitude? The plane will take minutes.
The plane will take 13 minutes to reach its cruising altitude.
To determine the time it takes for the plane to climb to its cruising altitude, we need to calculate the time it takes to ascend the vertical distance between the two altitudes.
The difference in altitude is 31000 feet - 10000 feet = 21000 feet.
Given that the plane ascends at a rate of 1500 feet per minute, we can divide the total distance by the rate to find the time:
Time = Distance / Rate
Time = 21000 feet / 1500 feet b per minute
Time = 14 minutes
Therefore, it will take the plane 14 minutes to reach its cruising altitude of 31000 feet.
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Which of the following is not a prime factor?
A. 7
B. 23
C. 63
D. 89
Please help me, ASAP
Answer:
C. 63
63 = 3 * 3 * 7
It is not a prime number or prime factor
Step-by-step explanation:
Brent teens exercises by filling weights he can lift 200 pounds three times without resting between lifts with which explanation shows the correct way to find the total number of ounces and he can lift without resting
Brent can lift a total of 9600 ounces without resting.
To find the total number of ounces Brent can lift without resting, we need to convert the weight from pounds to ounces and then multiply it by the number of lifts.
Given:
Weight Brent can lift: 200 pounds
Number of lifts: 3
To convert pounds to ounces, we know that 1 pound is equal to 16 ounces.
Calculating the total number of ounces Brent can lift:
Total weight in ounces = (200 pounds) * (16 ounces/pound)
Total weight in ounces = 3200 ounces
Since Brent can lift this weight three times without resting, we multiply the total weight in ounces by the number of lifts:
Total weight in ounces without resting = (3200 ounces) * (3 lifts)
Total weight in ounces without resting = 9600 ounces
Therefore, Brent can lift a total of 9600 ounces without resting.
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A student recorded the different types of ice cream their friends like in the table below:
Ice Cream Type Number of Friends
Chocolate 1
Pistachio 3
Strawberry 2
Vanilla 4
Which of the following plots represents the data in the table?
A dot plot line labeled Ice Cream Flavors and titled Ice Cream. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 3 above Pistachio, 2 above Strawberry, and 4 above Vanilla.
A dot plot line labeled Ice Cream Flavors and titled Ice Cream. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 2 above Pistachio, 3 above Strawberry, and 4 above Vanilla.
A dot plot line labeled Ice Cream Flavors and titled Ice Cream. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla.
A dot plot line labeled Ice Cream Flavors and titled Ice Cream. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 4 above Strawberry, and 2 above Vanilla.
The plot that represents the data in the table is:A dot plot line labeled Ice Cream Flavors and titled Ice Cream. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 3 above Pistachio, 2 above Strawberry, and 4 above Vanilla.
This plot accurately represents the number of friends who like each type of ice cream, with the corresponding number of dots above each flavor. In the given table, we have four different types of ice cream (Chocolate, Pistachio, Strawberry, and Vanilla) and the corresponding number of friends who like each flavor.
The plot that represents this data is a dot plot. A dot plot is a type of graph where dots are used to represent the frequency or count of a specific value. In this case, we are using dots to represent the number of friends who like each type of ice cream.
The dot plot has a horizontal line labeled "Ice Cream Flavors" and titled "Ice Cream". This line represents the x-axis. Above the line, there are four tick marks labeled with the names of the ice cream flavors (Chocolate, Pistachio, Strawberry, and Vanilla). These tick marks represent the different categories or values being plotted.
For each flavor, the plot shows the corresponding number of dots above it. The dots represent the count or frequency of friends who like that particular flavor. According to the table, there is 1 dot above Chocolate, 3 dots above Pistachio, 2 dots above Strawberry, and 4 dots above Vanilla.
By visualizing the dots above each flavor on the dot plot, we can easily compare the frequencies and see the distribution of ice cream preferences among the student's friends.
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An animal shelter currently has 20 cats and 25 dogs. what is the ratio of cats to dogs? (PLEASE ANSWER QUICKLY)
Answer:
4:5
...................
how do i know when my father will come back wit da milk
Answer:
you dont he never will
Step-by-step explanation:
he left
got milk
forgot about you
never came back
Answer:
He will neva come back
Step-by-step explanation:
Have a good day!
suppose the probability that maya is home is 1/3 and the probability that jim is home is 1/4. but the probability that jim is home given that maya is home is 1/2. what's the probability that they're both home?
The probability that they're both home is 1/12.
In the given question,
Probability of Maya at home P(A) = 1/3
And probability of Jim at home P(B) = 1/4
The probability that Jim is home given that maya is home P(A∪B) = 1/2
We have to find the probability when they both are at home P(A ∩ B).
As we can see that the probability of both the events are independent
So, we can use
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
Therefore,
1/2 = 1/3 +1/4 – P(A ∩ B)
P(A ∩ B) = 7/12 – 1/2
P(A ∩ B) = 1/12
Hence, the probability that they're both home is 1/12.
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one professor grades homework by randomly choosing 5 out of 12homework problems to grade.
a.) how many different groups of 5 problems can be chosen fromthe 12 problems?
b.) probability extension: jerry did only 5 problems of oneassignment. what is the probability that the problems he didcomprised the group that was selected to be graded?
c.) silvia did 7 problems. how many different groups of 5 didshe complete? what is the probability that one of the groups of 5she completed comprised the group selected to be graded?
The total number of homework problems to be 12, and the number of problems to be graded to be 5.
The total number of different groups of 5 problems that can be selected from the given set of 12 homework problems. We can use the combination formula here:$$ _{12}C_{5} = \frac{12!}{5!(12-5)!} = \frac{12\times11\times10\times9\times8}{5\times4\times3\times2\times1} = 792 $$Therefore, there are 792 different groups of 5 problems that can be chosen from the 12 problems. b.) We are given that Jerry did only 5 problems of one assignment. Since there are a total of 12 problems, and Jerry did only 5 of them, there are $$ _{12}C_{5} = \frac{12!}{5!(12-5)!} = 792 $$ways to choose 5 problems for grading. Now, we need to find the probability that the problems Jerry did comprised the group that was selected to be graded. Since Jerry did only 5 problems, there are a total of ${{12}\choose{5}}$ ways to choose a group of 5 problems out of 12. Out of those groups, there is one group that contains the problems Jerry did. So, the probability that the problems Jerry did comprised the group that was selected to be graded is $$ \frac{1}{{12}\choose{5}} = \frac{1}{792} $$c.) We are given that Silvia did 7 problems out of a total of 12. Now, we need to find the total number of different groups of 5 that Silvia completed. We can use the combination formula here:$$ _{7}C_{5} = \frac{7!}{5!(7-5)!} = \frac{7\times6}{2\times1} = 21 $$Therefore, Silvia completed a total of 21 different groups of 5. Now, we need to find the probability that one of the groups of 5 Silvia completed comprised the group selected to be graded. The total number of different groups of 5 that can be selected from the 12 problems is $$ _{12}C_{5} = \frac{12!}{5!(12-5)!} = 792 $$Out of those groups, there are 21 groups that Silvia completed. So, the probability that one of the groups of 5 Silvia completed comprised the group selected to be graded is $$ \frac{21}{792} = \frac{7}{264} $$.
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Please answer correctly! I will Mark you as Brainliest!
Answer:
Try 8 if it's wrong sorry
Step-by-step explanation:
Round 34.628 to the nearest hundredth.
30.625 rounded to the nearest hundredth is 30.630, because there is a five at the end, it jumps +5.
Please help me with 4 and 5 your awnser will be brain listed for
SOMEONE HELP ME URGENTLY!!
Step-by-step explanation:
a. 6:24
b. 1:4
c. 2 = 8, 3 = 12, 4 = 16, 5 = 20, 6 = 24.
d. 6:4 :: 24: X => X = (4×24)/6 => X = 16
e. 4 times
f. by proportion.
HELPPPPPPP ! LOOK AT ATTACHMENT Where does the horizontal asymptote lie for ?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
helpppp!!!! brainliest to the first answer ...!
Answer:
i cant read it can u do another photo
Step-by-step explanation: