Identify the transformation that maps the figure onto itself.

Mathematics

2 answers:

aliina [53]3 years ago

7 0

The given figure is symmetric about the line y = =3.

i.e. If the figure is gut into two across the line y = -3, we will have two exactly the same shapes.

Thus, the transformation that maps the given figure unto itself is refrection about the line y = -3.

Genrish500 [490]3 years ago

7 0

Answer:

The correct option is A.

Step-by-step explanation:

The given is a isosceles trapezium because the length of two non-parallel sides are equal.

An isosceles trapezium has a axis of symmetry which divides the trapezium in two equal and symmetric parts.

The axis of symmetry intersecting the parallel line at their midpoint.

From the below figure we can say that the sides AB and CD are parallel and y=-3 is the axis of symmetry.

So, when we respect the figure across y= -3, then we get the same figure.

Rotation 108 degree across any point will never maps the figure onto itself.

Therefore the reflection across the line y = -3 maps the figure onto itself and option A is correct.

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2 years ago

A company has $14,000 in liabilities and $15,000 in equity. Calculate the company's debt to equity ratio as a percentage.

liberstina [14]

The required debt-equity ratio is 14:15

Solution:

Given:

Liabilities of the company = $14000

Equity of the company = $15000

To calculate: The debt-equity ratio

Here, the liabilities are included in the debt of the company. The debt-to-equity (D/E) ratio is calculated by dividing a company's total liabilities by its shareholder equity. Therefore, the debt equity ratio is as follows,

$\text { Debt Equity ratio }=\frac{\text { Debt }}{\text { Equity }}=\frac{14000}{15000}=\frac{14}{15}$