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Aleksandr [31]
2 years ago
8

On a piece of paper, use a protractor to construct right triangle DEF with DE=4 in. , m∠D=90° , and m∠E=45° .

Mathematics
2 answers:
shutvik [7]2 years ago
5 0
Statement DF=4in. is true because: triangle DEF has a m∠D=90° so it is a right-angled triangle. But at the same time <span>m∠E=45° so it is a isosceles triangle and a right-angled as well. </span>
denis23 [38]2 years ago
4 0

Answer:   The answer is DF=4 inch.


Step-by-step explanation:  As shown in the attached figure, a right-angled triangle DEF is constructed using a protractor, where ∠D=90°, DE 4 inch and ∠E=45°.

So, according to the figure, EF is the hypotenuse of the triangle.

Now, in ΔDEF

∠D + ∠E + ∠F = 180°, which gives us

∠F = 180°-∠D - ∠E = 180° - 90° - 45° = 45°.

Hence, ∠E = ∠F. Thus, DE = DF, which implies that ΔDEF is an isosceles triangle also.

Thus, DF = 4 inch.

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Answer:

a. H0:μ1≥μ2

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Step-by-step explanation:

a)

As the score for group 1 is lower than group 2,

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Alternative hypothesis: H1:μ1<μ2

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We can see that the calculated value of t-statistic falls in rejection region and so we reject the null hypothesis at 5% significance level.

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