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3 years ago

Please Help! Will mark brainliest.!!!!!

Mathematics

2 answers:

olga_2 [115]3 years ago

6 0

Answer:

Step-by-step explanation:

Median of triangle: It is a line segment joining a vertex to the midpoint of the opposite side.

Consider ΔABC, point F id the midpoint of line segment AB and E is the midpoint of luine segment AC.

Draw line segments FC and BE(medians of triangle). G is the point where line segment FC and BE meet. Now, Join AG.

Let H be the point outside the ΔABC and AG passs through the point H such that AG intersects BC at D. BH and HC are dashed lines.

We need to show that D is the midpoint of BC. The correct logical order for proof will be:

III. GC is parallel to line segment BH and line segment BG is parallel to line segment HC.

IV. Line segment FG is parallel to line segment BH and line segment GE is parallel to line segment HC.

I. BGCH is a parallelogram as opposite sides are parallel (from III.)

II. Since, diagnols of a parallelogram bisect each other. Henc, we get BD=DC.

Therefore, D is mid pont of BC.

It implies that AD is also a median.

Hence, all the three medians that are: BE,FC and AD passes through a common vertex G.

Ne4ueva [31]3 years ago

3 0

Answer:

A) IV, III, I, II

Step-by-step explanation:

Just took the test and got it right (:

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A substance abuse researcher wants to know whether reaction time is decreased by frequent alcohol use. He randomly selects 164 a

ella [17]

Answer:

We conclude that the reaction time is increased or remains same by frequent alcohol use.

Step-by-step explanation:

We are given that a substance abuse researcher wants to know whether reaction time is decreased by frequent alcohol use. He randomly selects 164 alcoholics and finds that their mean reaction time (in ms) to a stimulus equals 283.

Reaction times to the stimulus in the general population are distributed normally with a mean equal to 281 and a standard deviation equal to 28.

Let $\mu$ = mean reaction time after alcohol use.

So, Null Hypothesis, $H_0$ : $\mu$ $\geq$ 281 {means that the reaction time is increased or remains same by frequent alcohol use}

Alternate Hypothesis, $H_A$ : $\mu$ < 281 {means that the reaction time is decreased by frequent alcohol use}

The test statistics that would be used here One-sample z test statistics as we know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n}}}$ ~ N(0,1)

where, $\bar X$ = sample mean reaction time (in ms) = 283

$\sigma$ = population standard deviation = 28

n = sample of alcoholics = 164

So, test statistics = $\frac{283-281}{\frac{28}{\sqrt{164}}}$

= 0.915

The value of z test statistics is 0.915.

Now, at 0.01 significance level the z table gives critical value of -2.3263 for left-tailed test. Since our test statistics is more than the critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the reaction time is increased or remains same by frequent alcohol use.

5 0

3 years ago

This line has a slope of -3 and passes through the point (4, -10)

ANEK [815]

Answer:

Step-by-step explanation:

y= mx+c

-10= -3 x 4 +c

-10= -12 +c

c= 2

then, y= -3x+2 would be the answer, if you were wanting the equation of the line.

8 0

3 years ago

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The area of a rectangle is 4x+32. The length is 4. Find the width.

marissa [1.9K]

$\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=4x+32\\ L=4 \end{cases}\implies 4x+32=4w \\\\\\ \cfrac{4x+32}{4}=w\implies \cfrac{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ (x+8)}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=w\implies \boxed{x+8=w}$