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Alborosie
3 years ago
6

Geometry math question please help

Mathematics
2 answers:
Kitty [74]3 years ago
5 0

So for this, we first have to find the exterior angle. We can do this by subtracting 135 from 180 (linear pair theorem). The difference is 45°.

Next, since all exterior angles add up to 360°, divide 360 by 45 and your answer will be 8 sides, or A.

Masja [62]3 years ago
3 0

here we have given the interior angles as 135 degrees.

we have give that it is a polygon

we need to find how many sides does it have.

we need to find exterior angle.

we know that sum of interior and exterior angle is 180.

x be the exterior angle.

x+135=180,x=45

we have formula to find the number of sides n=360/exterior angle

n=360/45=8

the regular polygon will have 8 sides .

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3 years ago
PLZ HELP, AND PLZ EXPLAIN
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C

Step-by-step explanation:

To make it easy let's start by organizing our information :

  • AC=12 AND BD=8
  • ABCD is a rhombus
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  • we notice that the rhombus ABCD is divided into four right triangles

What do you think of when you hear a right triangle ?

  • The pythagorian theorem !

AC and BD  are khown so let's focus on them .

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Simply because they are the diagonals of a rhombus .

ow let's apply the pythagorian theorem :

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Now we khow that : AB=BC=CD=AD=\sqrt{52}

This isn't enough . Let's try to figure out a way to calculate the length of KL  wich is the base of the triangle

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I smell something . yes! Thales theorem

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Now we have the length of the base kl

Now the big boss the height :

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What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D

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  • D² = 52/4-9 +4 SO D=2

now the height of the trigle is H= BD-D= 8-2=6

NOw the area of the triangle is :

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THE ANSWER IS 18 SQ.UN

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slega [8]

the answer is A

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