1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
weqwewe [10]
3 years ago
8

Triangle L N P has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, L

P, and Q M. The length of line segment N S is 7 x minus 3 and the length of line segment S R is 5 x minus 3. What is the length of segment NS? 1 unit 2 units 4 units 6 units
Mathematics
2 answers:
Irina18 [472]3 years ago
8 0

Answer:

6 units

Step-by-step explanation:

Given: Triangle L N P has centroid S.

NS=7x-3, SR=5x-3

To find: NS

Solution:

Centroid is the point of intersection of the medians of the triangle such that it divides each of the median in ratio 2:1

So,

NS:SR=2:1\\\frac{NS}{SR}=\frac{2}{1}  \\

Put NS=7x-3, SR=5x-3

\frac{7x-3}{5x-3}=\frac{2}{1}\\  7x-3=10x-6\\10x-7x=-3+6\\3x=3\\x=1

Therefore,

NS=7x-3=7(1)-3=4\,\,units\\SR=5x-3=5(1)-3=2\,units

So,

NS=NS+SR=4+2=6\,\,units

Download pptx
Grace [21]3 years ago
7 0

Answer:

The answer is 4

Step-by-step explanation:

It asks for the length of NS not the length of NR

You might be interested in
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 a
KATRIN_1 [288]

Answer:

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $2,275 and a standard deviation of $290.

This means that \mu = 2275, \sigma = 290

Sample of 65:

This means that n = 65, s = \frac{290}{\sqrt{65}}

Finding the mean to be at least $2,095 per month

This is 1 subtracted by the p-value of Z when X = 2095. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}

Z = -5

Z = -5 has a p-value of 0.

1 - 0 = 1

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

7 0
2 years ago
NO LINKS OR ANSWERING WHAT YOU DON'T KNOW?
snow_lady [41]

Answer:

1. D. 1

2. B. y=a³/x

3. A. y=1/x

Step-by-step explanation:

too long to give te explanations but they're there in the attachments

7 0
2 years ago
Best Answer gets Brainliest!!!<br> PLZ help!
Vika [28.1K]

Answer:

Not proportional

Step-by-step explanation:

If you just Find the unit rate of each thing, you’ll find that none of them are equal to each other.

5 0
2 years ago
A car is traveling at 60 mph and is tailgating another car at distance of only 30 ft. If the reaction time of the tailgater is 0
Sveta_85 [38]

Answer:

44 ft

Step-by-step explanation:

We are given that;

Speed; v = 60 mph

Reaction time;t = 0.5 s

Now, we know that;

Distance = speed x time

Since time is in seconds, let's convert speed to mph to ft/s

From conversion,

1 mph = 1.46667 ft/s

So, 60 mph would give;

60 × 1.46667 ≈ 88 ft/s

Thus, distance his car travels during his reaction time is;

Distance = 88 × 0.5 = 44 ft

6 0
3 years ago
Traveled 33 miles which is 55% of trip, what is total
Lorico [155]
60 miles would be the total miles in the trip
3 0
3 years ago
Read 2 more answers
Other questions:
  • A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?
    5·2 answers
  • 9/4 as a mixed fraction
    11·1 answer
  • If the area of the rectangle is 60 square inches, what is the width of the rectangle?
    5·1 answer
  • What was the percent of decrease in the number of pumpkins sold
    10·1 answer
  • What is 6 divided by 603
    13·2 answers
  • Marci mailed 9 letters at the post office. Each letter weighed 3.5 ounces. What was the total weight of the letters?
    9·1 answer
  • Raisins, almonds, and sunflower seeds are sold together in packages of 350 g.
    6·1 answer
  • Find the midpoint of the segment with the following endpoints.<br> (-3,8) and (-8, 2)
    7·1 answer
  • Which expression has a value of 13? (2 points)
    6·1 answer
  • 5) For the fraction 3/25, (a) write a percent and (b) write a decimal.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!