$\\ \sf\longmapsto \sqrt{512x^3}=\sqrt{2\times 2\times 2\times 2\times 2\times 2\times 2\times 2x^2x}=16x$
$\\ \sf\longmapsto x-8=-5\implies x=3$
$\\ \sf\longmapsto \sqrt{x-8}=\sqrt{-x+2}\implies x-8=-x+2\implies 2x=10\implies x=5$

6 0

3 years ago

Verdich [7]

Answer:

As the number of sides increases, the measures of the angles increase

see the explanation

Step-by-step explanation:

we know that

The measure of the interior angle in a regular polygon is equal to

$x=\frac{(n-2)}{n}(180^o)$

where

n is the number of sides of the regular polygon

x is the measure of the interior angle in a regular polygon

we have that

Examples

A triangle

n=3 sides

$x=\frac{(3-2)}{3}(180^o)=60^o$

A square

n=4 sides

$x=\frac{(4-2)}{4}(180^o)=90^o$

A pentagon

n=5 sides

$x=\frac{(5-2)}{5}(180^o)=108^o$

A hexagon

n=6 sides

$x=\frac{(6-2)}{6}(180^o)=120^o$

n ----> 3,4,5,6...

x ----> 60°,90°,108°,120°,...

As the number of sides increases, the measures of the angles increase

The pattern is $x=\frac{(n-2)}{n}(180^o)$

5 0

3 years ago

aleksandrvk [35]

The last step in a proof contains the conclusion.
hope this helps:)

3 0

4 years ago