Translate this sentence into an equation.

What is the value of x when Rq=3x+2 ,QN =2x and SM=3x?

Andru [333]

The value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

RQ = 3x+2 ,QN = 2x and SM=3x

In the figure, the TM, Rn, and SL are medians of the triangle SRT and Q is the centroid.

The centroid of the triangle divides each median in the ratio 2:1

RQ/QN = 2/1

(3x+2)/2x = 2/1

After solving:

3x + 2 = 4x

x = 2

Thus, the value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.

Learn more about the triangle here:

brainly.com/question/25813512

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5 0

1 year ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

2 years ago

Kevin jogged 2 1/2 miles in 1/3 of an hour. What was his average rate in speed in miles per hour? Show your work.

Arlecino [84]

Answer:

7.5 miles per hour

Step-by-step explanation:

Average Speed = Total Distance/Total Time

$\frac{2 \frac{1}{2} }{\frac{1}{3} }$ = 7.5 miles/hour

Answer from Gauthmath

3 0

2 years ago

So I took a test from my teachers desk and took photos of the test questions. I am indeed cheating but I just want to know the a

romanna [79]

Answer:

THE CORRECT OPTION IS A) Δ ABC $\sim$ Δ BDC $\sim$ Δ ADB

Step-by-step explanation:

The first option is in correct order of triangle ,we can easily the their sides are proportionate . And having eqal angles.

8 0

2 years ago

Same-side interior angles always add

AleksAgata [21]

THEOREM:

<u>Same Side Interior Angles Theorem</u>:– If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

ANSWER:

By same side interior angles theorem,

∠4 + 123° = 180°

∠4 = 180° - 123°

∠4 = 57°.

8 0

2 years ago