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erica [24]
2 years ago
9

Need help please answer ASAP! 25&26

Mathematics
2 answers:
katen-ka-za [31]2 years ago
6 0

#26

Any polygon has sum of exterior sides as 360°

No of sides

  • 360/60=6

#25

Let the angles be 2x and 7x

  • 2x+7x=189
  • 9x=180
  • x=180/9
  • x=20°

Smallest angle=2(20)=40°

EleoNora [17]2 years ago
5 0

Answer:

40° and 6

Step-by-step explanation:

25. Let's suppose the angles as 2x and 7x

Then,

2x + 7x = 180°

or, 9x = 180°

or, x = 180°/9

or, x= 20°

Now, 2x is smaller

So, 2x = 2× 20° = 40°

26. Solution,

Each exterior angle = 360°\n

or, 60° = 360°/n

or, 60°n = 360 °

or, n = 360°/60°

or, n=6

As, Hexagon has 6 sides.

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This will be easier to write, and a lot easier to read, if we temporarily
use another symbol ... say, 'Q' ... to represent  ' sin(2x) ' .
Here we go:

Original equation:                Q² - 0.5 Q  =  0

Factor the left side:            Q (Q - 0.5)  =  0

This equation is true if either factor is zero:


--  If  Q=0, then  sin(2x) = 0

                                 2x = 0°,  180°,  360°

                                   x = 0°,  90°,  180°


-- If  (Q-0.5) = 0, then      Q  =  0.5

                                sin(2x)  =  0.5          

                                       2x  =  30°,  150°

                                         x  =  15°,  75°


The whole collection of solutions
between  0°  and  360° :

          x = 0°,  15°,  75°,  90°,  180° .

8 0
3 years ago
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Step-by-step explanation:

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