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HACTEHA [7]
2 years ago
6

In triangle ABC shown below, side AB is 6 and side AC is 4:

Mathematics
1 answer:
sveticcg [70]2 years ago
5 0

To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, rotation, reflection and dilation.</em>

Dilation is the increase or decrease in the size of a figure.

To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

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allsm [11]
Yessss that should be correct
4 0
2 years ago
National data indicates that​ 35% of households own a desktop computer. In a random sample of 570​ households, 40% owned a deskt
Elan Coil [88]

Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a​ desktop.

Step-by-step explanation:

We are given that National data indicates that​ 35% of households own a desktop computer.

In a random sample of 570​ households, 40% owned a desktop computer.

<em><u>Let p = population proportion of households who own a desktop computer</u></em>

SO, Null Hypothesis, H_0 : p = 25%   {means that 35% of households own a desktop computer}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of households who own a desktop computer is different from 35%}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 570​ households who owned a desktop computer = 40%

            n = sample of households = 570

So, <u><em>test statistics</em></u>  =  \frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }

                               =  2.437

<em>Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.</em>

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

3 0
3 years ago
A circular disc has a circumference of 14π meters. If we multiply the radius of the circular disc by 12, what will be the circum
ikadub [295]

Answer:

169π

Step-by-step explanation:

3 0
2 years ago
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ΔABC has vertices A(2,4), B(6,0), AND C(-4,0).
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<span>ΔABC is not a right triangle.</span>
3 0
3 years ago
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Please please help me out
mr Goodwill [35]

Answer:

12

Step-by-step explanation:

5 0
3 years ago
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