Can anyone help me in Ptolemy's theorem?

Mathematics

1 answer:

GalinKa [24]3 years ago

8 0

Answer:

Well, I'm not sure what you mean but Ptolemy's Theorem gives a relationship between the side lengths and the diagonals of a cyclic quadrilateral; it is the equality case of Ptolemy's Inequality. Ptolemy's Theorem frequently shows up as an intermediate step in problems involving inscribed figures.

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Which is equivalent to RootIndex 5 StartRoot 1,215 EndRoot Superscript x?

SOVA2 [1]

Answer:

1,215 Superscript one-fifth x

Step-by-step explanation:

Given:

The expression to simplify is given as:

$(\sqrt[5]{1215})^x$

We know that,

$\sqrt[n]{a} = a^{\frac{1}{n}}$

Here, $n=5, a=1215$

So, $\sqrt[5]{1215} = 1215^{\frac{1}{5}}$

So, the above expression becomes:

$(\sqrt[5]{1215})^x = (1215^{\frac{1}{5}})^x$

Now, using the law of indices $(a^m)^n=a^{(m\times n)}$

Here, $a=1215,m=\frac{1}{5},n=x$

So, the expression is finally simplified to;

$=(1215)^{({\frac{1}{5}}\times x)}\\\\=(1215)^{\frac{1}{5}x}$

Therefore, the second option is the correct one.

$(\sqrt[5]{1215})^x$ = 1,215 Superscript one-fifth x

6 0

3 years ago

Read 2 more answers

Just Q9 please x If u could help that would be great

dybincka [34]

General rule: The angles on a straight line total 180°

The right angle equates to 90°

Since that angle is half of our desired angle, it must mean that 2x + x = 90°

breaking this down, we get 3x = 90° which can be divided to make x = 30°

8 0

3 years ago

Please answer this im so confused

-Dominant- [34]

Step-by-step explanation:

Since,in question 21 the trspezium is an isoseles tapizium
therefore,9x-17=4x+28
5x=45
x=9
therefore q=9x-17
=9*9-17
=81-17
q=64
therefore 2t=360-128(since its isoseles triangle therefore adjacent base angles are equal)
2t=23
t=116