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3 years ago

Determine whether the triangles are congruent by sss sas asa aas hl

Mathematics

1 answer:

Semmy [17]3 years ago

7 0

Answer:

Congruent by SAS

Step-by-step explanation:

The three given sides of one triangle is shown to be equal to the corresponding sides of the other triangle.

This means that all threes sides of one are congruent to all corresponding sides of the other triangle.

By the Side-Side-Side Congruence Theorem, we can conclude that both triangles are congruent.

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3 years ago

Which of the following is the inverse of the given function? Y=3x^5-4

lawyer [7]

$y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }$

Step-by-step explanation:

Given function $y\textrm{ }=\textrm{ }3x^{5}\textrm{ }-\textrm{ }4$

To find an inverse for any given function, which is of the form $y=f(x)$ , always swap $x$ and $y$ in the equation and try to get the form $x=f(y)$ . Now, swapping back $x$ and $y$ , we get the inverse function.

On swapping $x$ and $y$ , we get $x\textrm{ }=\textrm{ }3y^{5}\textrm{ }-\textrm{ }4$

$y\textrm{ }+\textrm{ }4\textrm{ }=\textrm{ }3x^{5}$

$x^{5}\textrm{ }=\textrm{ }\frac{y\textrm{ }+\textrm{ }4}{3}$

$x\textrm{ }=\textrm{ }(\frac{y\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }$

Swapping back $x$ and $y$ , we get $y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }$

This is the inverse function.

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