Phương trình có hai nghiệm phân biệt trái dấu $x^{2} -(m^{2} -m+1)x+2m^{2} -3m-5$

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Ответ:

kerra61

19.03.2021

Mathematics

AB = 4

$m\angle E=30^\circ$

Step-by-step explanation:

Similar shapes

Two figures are similar if the ratios of the lengths of their corresponding sides are equal. The corresponding angles are also congruent.

Being ABCD and EFGH similar, the ratio of the lengths of AB and EF is equal to the ratio of the lengths of AD and EH, thus:

$\displaystyle \frac{AB}{EF}=\frac{AD}{EH}$

Solving for AB:

$\displaystyle AB=\frac{AD}{EH}\cdot EF$

Since AD=6, EH=1.5, and EF=1:

$\displaystyle AB=\frac{6}{1.5}\cdot 1$

AB = 4

Since angle A is congruent to angle E:

$m\angle E=m\angle A$

$\mathbf{m\angle E=30^\circ}$

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